%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n032.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  : 600s
% DateTime : Thu Jul 21 00:50:28 EDT 2022

% Result   : Timeout 289.53s 289.85s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :  526
% Syntax   : Number of formulae    : 4041 (2252 unt; 224 typ;   0 def)
%            Number of atoms       : 23688 (8654 equ;   0 cnn)
%            Maximal formula atoms :   11 (   6 avg)
%            Number of connectives : 63279 (7311   ~;7201   |; 376   &;47607   @)
%                                         ( 104 <=>; 680  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  299 ( 299   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  227 ( 224 usr;  47 con; 0-3 aty)
%            Number of variables   : 9873 (   0   ^9859   !;  14   ?;9873   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_body,type,
    body: $i ).

thf(tp_body_1,type,
    body_1: $i ).

thf(tp_bool,type,
    bool: $i ).

thf(tp_bot_bo1537088220l_bool,type,
    bot_bo1537088220l_bool: $i ).

thf(tp_bot_bo1649642514l_bool,type,
    bot_bo1649642514l_bool: $i ).

thf(tp_bot_bo1761158942l_bool,type,
    bot_bo1761158942l_bool: $i ).

thf(tp_bot_bo535777328l_bool,type,
    bot_bo535777328l_bool: $i ).

thf(tp_bot_bo620288102e_bool,type,
    bot_bo620288102e_bool: $i ).

thf(tp_bot_bo844097828e_bool,type,
    bot_bo844097828e_bool: $i ).

thf(tp_cOMBB_1522210668e_bool,type,
    cOMBB_1522210668e_bool: $i > $i > $i ).

thf(tp_cOMBB_1585081418e_bool,type,
    cOMBB_1585081418e_bool: $i > $i > $i ).

thf(tp_cOMBB_2095475776e_bool,type,
    cOMBB_2095475776e_bool: $i > $i > $i ).

thf(tp_cOMBB_2144135922_state,type,
    cOMBB_2144135922_state: $i > $i > $i ).

thf(tp_cOMBB_307249310e_bool,type,
    cOMBB_307249310e_bool: $i > $i > $i ).

thf(tp_cOMBB_404111180l_bool,type,
    cOMBB_404111180l_bool: $i > $i > $i ).

thf(tp_cOMBB_647938656_pname,type,
    cOMBB_647938656_pname: $i > $i > $i ).

thf(tp_cOMBB_675860798_pname,type,
    cOMBB_675860798_pname: $i > $i > $i ).

thf(tp_cOMBB_689948150l_bool,type,
    cOMBB_689948150l_bool: $i > $i > $i ).

thf(tp_cOMBB_699532858_pname,type,
    cOMBB_699532858_pname: $i > $i > $i ).

thf(tp_cOMBB_923936821_pname,type,
    cOMBB_923936821_pname: $i > $i > $i ).

thf(tp_cOMBB_962198420_state,type,
    cOMBB_962198420_state: $i > $i > $i ).

thf(tp_cOMBC_1058051404l_bool,type,
    cOMBC_1058051404l_bool: $i > $i ).

thf(tp_cOMBC_1114453604l_bool,type,
    cOMBC_1114453604l_bool: $i > $i ).

thf(tp_cOMBC_1149511130e_bool,type,
    cOMBC_1149511130e_bool: $i > $i ).

thf(tp_cOMBC_1284144636l_bool,type,
    cOMBC_1284144636l_bool: $i > $i ).

thf(tp_cOMBC_1691491604l_bool,type,
    cOMBC_1691491604l_bool: $i > $i ).

thf(tp_cOMBC_1734175330l_bool,type,
    cOMBC_1734175330l_bool: $i > $i ).

thf(tp_cOMBC_1988546018l_bool,type,
    cOMBC_1988546018l_bool: $i > $i ).

thf(tp_cOMBC_336095980l_bool,type,
    cOMBC_336095980l_bool: $i > $i ).

thf(tp_cOMBC_449066458l_bool,type,
    cOMBC_449066458l_bool: $i > $i ).

thf(tp_cOMBC_654211620e_bool,type,
    cOMBC_654211620e_bool: $i > $i ).

thf(tp_cOMBC_747715418l_bool,type,
    cOMBC_747715418l_bool: $i > $i ).

thf(tp_cOMBC_7971162l_bool,type,
    cOMBC_7971162l_bool: $i > $i ).

thf(tp_cOMBK_1039769424_state,type,
    cOMBK_1039769424_state: $i > $i ).

thf(tp_cOMBK_129401207e_bool,type,
    cOMBK_129401207e_bool: $i > $i ).

thf(tp_cOMBK_1503445380e_bool,type,
    cOMBK_1503445380e_bool: $i > $i ).

thf(tp_cOMBK_1589414042e_bool,type,
    cOMBK_1589414042e_bool: $i > $i ).

thf(tp_cOMBK_168215364_state,type,
    cOMBK_168215364_state: $i > $i ).

thf(tp_cOMBK_1706929794_pname,type,
    cOMBK_1706929794_pname: $i > $i ).

thf(tp_cOMBK_1857069011e_bool,type,
    cOMBK_1857069011e_bool: $i > $i ).

thf(tp_cOMBK_2035509764_state,type,
    cOMBK_2035509764_state: $i > $i ).

thf(tp_cOMBK_367030522_pname,type,
    cOMBK_367030522_pname: $i > $i ).

thf(tp_cOMBK_37193422_pname,type,
    cOMBK_37193422_pname: $i > $i ).

thf(tp_cOMBK_482404831l_bool,type,
    cOMBK_482404831l_bool: $i > $i ).

thf(tp_cOMBK_659609255_state,type,
    cOMBK_659609255_state: $i > $i ).

thf(tp_cOMBK_701929478e_bool,type,
    cOMBK_701929478e_bool: $i > $i ).

thf(tp_cOMBK_948730864e_bool,type,
    cOMBK_948730864e_bool: $i > $i ).

thf(tp_cOMBK_bool_pname,type,
    cOMBK_bool_pname: $i > $i ).

thf(tp_cOMBK_pname_pname,type,
    cOMBK_pname_pname: $i > $i ).

thf(tp_cOMBS_1358309691l_bool,type,
    cOMBS_1358309691l_bool: $i > $i > $i ).

thf(tp_cOMBS_2066081387l_bool,type,
    cOMBS_2066081387l_bool: $i > $i > $i ).

thf(tp_cOMBS_350070575l_bool,type,
    cOMBS_350070575l_bool: $i > $i > $i ).

thf(tp_cOMBS_458705923l_bool,type,
    cOMBS_458705923l_bool: $i > $i > $i ).

thf(tp_cOMBS_568398431l_bool,type,
    cOMBS_568398431l_bool: $i > $i > $i ).

thf(tp_cOMBS_811933079l_bool,type,
    cOMBS_811933079l_bool: $i > $i > $i ).

thf(tp_collec1613912337l_bool,type,
    collec1613912337l_bool: $i > $i ).

thf(tp_collec1823980261e_bool,type,
    collec1823980261e_bool: $i > $i ).

thf(tp_collec1974731493e_bool,type,
    collec1974731493e_bool: $i > $i ).

thf(tp_collec256567069l_bool,type,
    collec256567069l_bool: $i > $i ).

thf(tp_collec307967673_state,type,
    collec307967673_state: $i > $i ).

thf(tp_collec488126193l_bool,type,
    collec488126193l_bool: $i > $i ).

thf(tp_collec792590109l_bool,type,
    collec792590109l_bool: $i > $i ).

thf(tp_collect_pname,type,
    collect_pname: $i > $i ).

thf(tp_dom_fu1342267980ol_com,type,
    dom_fu1342267980ol_com: $i > $i ).

thf(tp_dom_fu2081503504ol_com,type,
    dom_fu2081503504ol_com: $i > $i ).

thf(tp_dom_pname_com,type,
    dom_pname_com: $i > $i ).

thf(tp_fFalse,type,
    fFalse: $i ).

thf(tp_fNot,type,
    fNot: $i ).

thf(tp_fTrue,type,
    fTrue: $i ).

thf(tp_fa,type,
    fa: $i ).

thf(tp_fconj,type,
    fconj: $i ).

thf(tp_fdisj,type,
    fdisj: $i ).

thf(tp_fequal1111551311_state,type,
    fequal1111551311_state: $i ).

thf(tp_fequal1311889615e_bool,type,
    fequal1311889615e_bool: $i ).

thf(tp_fequal533582459e_bool,type,
    fequal533582459e_bool: $i ).

thf(tp_fequal_pname,type,
    fequal_pname: $i ).

thf(tp_fimplies,type,
    fimplies: $i ).

thf(tp_finite1491191519l_bool,type,
    finite1491191519l_bool: $i ).

thf(tp_finite34021339l_bool,type,
    finite34021339l_bool: $i ).

thf(tp_finite364844667_state,type,
    finite364844667_state: $i ).

thf(tp_finite464017571e_bool,type,
    finite464017571e_bool: $i ).

thf(tp_finite595471783e_bool,type,
    finite595471783e_bool: $i ).

thf(tp_finite786885583l_bool,type,
    finite786885583l_bool: $i ).

thf(tp_finite796539827l_bool,type,
    finite796539827l_bool: $i ).

thf(tp_finite_finite_pname,type,
    finite_finite_pname: $i ).

thf(tp_fun,type,
    fun: $i > $i > $i ).

thf(tp_hAPP_H1049623551e_bool,type,
    hAPP_H1049623551e_bool: $i > $i > $i ).

thf(tp_hAPP_H1187982158l_bool,type,
    hAPP_H1187982158l_bool: $i > $i > $i ).

thf(tp_hAPP_H1621176307_pname,type,
    hAPP_H1621176307_pname: $i > $i > $i ).

thf(tp_hAPP_H30606679l_bool,type,
    hAPP_H30606679l_bool: $i > $i > $i ).

thf(tp_hAPP_H356885323e_bool,type,
    hAPP_H356885323e_bool: $i > $i > $i ).

thf(tp_hAPP_H78829294e_bool,type,
    hAPP_H78829294e_bool: $i > $i > $i ).

thf(tp_hAPP_b589554111l_bool,type,
    hAPP_b589554111l_bool: $i > $i > $i ).

thf(tp_hAPP_bool_bool,type,
    hAPP_bool_bool: $i > $i > $i ).

thf(tp_hAPP_c1126217667_state,type,
    hAPP_c1126217667_state: $i > $i > $i ).

thf(tp_hAPP_f1022807134l_bool,type,
    hAPP_f1022807134l_bool: $i > $i > $i ).

thf(tp_hAPP_f1201187855l_bool,type,
    hAPP_f1201187855l_bool: $i > $i > $i ).

thf(tp_hAPP_f1297739591_pname,type,
    hAPP_f1297739591_pname: $i > $i > $i ).

thf(tp_hAPP_f1387463497_state,type,
    hAPP_f1387463497_state: $i > $i > $i ).

thf(tp_hAPP_f1476298914l_bool,type,
    hAPP_f1476298914l_bool: $i > $i > $i ).

thf(tp_hAPP_f1664156314l_bool,type,
    hAPP_f1664156314l_bool: $i > $i > $i ).

thf(tp_hAPP_f166538662l_bool,type,
    hAPP_f166538662l_bool: $i > $i > $i ).

thf(tp_hAPP_f1759205631l_bool,type,
    hAPP_f1759205631l_bool: $i > $i > $i ).

thf(tp_hAPP_f1935102916l_bool,type,
    hAPP_f1935102916l_bool: $i > $i > $i ).

thf(tp_hAPP_f210337421l_bool,type,
    hAPP_f210337421l_bool: $i > $i > $i ).

thf(tp_hAPP_f2134636538on_com,type,
    hAPP_f2134636538on_com: $i > $i > $i ).

thf(tp_hAPP_f2138803836on_com,type,
    hAPP_f2138803836on_com: $i > $i > $i ).

thf(tp_hAPP_f2143399574l_bool,type,
    hAPP_f2143399574l_bool: $i > $i > $i ).

thf(tp_hAPP_f32027384l_bool,type,
    hAPP_f32027384l_bool: $i > $i > $i ).

thf(tp_hAPP_f389811538l_bool,type,
    hAPP_f389811538l_bool: $i > $i > $i ).

thf(tp_hAPP_f434788991l_bool,type,
    hAPP_f434788991l_bool: $i > $i > $i ).

thf(tp_hAPP_f468958928l_bool,type,
    hAPP_f468958928l_bool: $i > $i > $i ).

thf(tp_hAPP_f510955609l_bool,type,
    hAPP_f510955609l_bool: $i > $i > $i ).

thf(tp_hAPP_f556039215l_bool,type,
    hAPP_f556039215l_bool: $i > $i > $i ).

thf(tp_hAPP_f559147733l_bool,type,
    hAPP_f559147733l_bool: $i > $i > $i ).

thf(tp_hAPP_f560369737_pname,type,
    hAPP_f560369737_pname: $i > $i > $i ).

thf(tp_hAPP_f585161855l_bool,type,
    hAPP_f585161855l_bool: $i > $i > $i ).

thf(tp_hAPP_f595608956l_bool,type,
    hAPP_f595608956l_bool: $i > $i > $i ).

thf(tp_hAPP_f637090980l_bool,type,
    hAPP_f637090980l_bool: $i > $i > $i ).

thf(tp_hAPP_f667366769l_bool,type,
    hAPP_f667366769l_bool: $i > $i > $i ).

thf(tp_hAPP_f72706945l_bool,type,
    hAPP_f72706945l_bool: $i > $i > $i ).

thf(tp_hAPP_f759274231e_bool,type,
    hAPP_f759274231e_bool: $i > $i > $i ).

thf(tp_hAPP_f888949707_state,type,
    hAPP_f888949707_state: $i > $i > $i ).

thf(tp_hAPP_f971112728l_bool,type,
    hAPP_f971112728l_bool: $i > $i > $i ).

thf(tp_hAPP_f98417237e_bool,type,
    hAPP_f98417237e_bool: $i > $i > $i ).

thf(tp_hAPP_option_com_com,type,
    hAPP_option_com_com: $i > $i > $i ).

thf(tp_hAPP_p1422361149_state,type,
    hAPP_p1422361149_state: $i > $i > $i ).

thf(tp_hAPP_p338031245l_bool,type,
    hAPP_p338031245l_bool: $i > $i > $i ).

thf(tp_hAPP_p393069232l_bool,type,
    hAPP_p393069232l_bool: $i > $i > $i ).

thf(tp_hAPP_p442853985e_bool,type,
    hAPP_p442853985e_bool: $i > $i > $i ).

thf(tp_hAPP_p61793385e_bool,type,
    hAPP_p61793385e_bool: $i > $i > $i ).

thf(tp_hAPP_p799580910on_com,type,
    hAPP_p799580910on_com: $i > $i > $i ).

thf(tp_hAPP_pname_bool,type,
    hAPP_pname_bool: $i > $i > $i ).

thf(tp_hAPP_pname_com,type,
    hAPP_pname_com: $i > $i > $i ).

thf(tp_hAPP_pname_pname,type,
    hAPP_pname_pname: $i > $i > $i ).

thf(tp_hBOOL,type,
    hBOOL: $i > $o ).

thf(tp_hoare_1598289066_state,type,
    hoare_1598289066_state: $i > $i ).

thf(tp_hoare_165779456gleton,type,
    hoare_165779456gleton: $i ).

thf(tp_hoare_Mirabelle_MGT,type,
    hoare_Mirabelle_MGT: $i ).

thf(tp_image_1210605179l_bool,type,
    image_1210605179l_bool: $i > $i > $i ).

thf(tp_image_1283814551_pname,type,
    image_1283814551_pname: $i > $i > $i ).

thf(tp_image_1619336331_pname,type,
    image_1619336331_pname: $i > $i > $i ).

thf(tp_image_1642285373l_bool,type,
    image_1642285373l_bool: $i > $i > $i ).

thf(tp_image_1705983821_pname,type,
    image_1705983821_pname: $i > $i > $i ).

thf(tp_image_1761575943l_bool,type,
    image_1761575943l_bool: $i > $i > $i ).

thf(tp_image_1828608335e_bool,type,
    image_1828608335e_bool: $i > $i > $i ).

thf(tp_image_187965177_pname,type,
    image_187965177_pname: $i > $i > $i ).

thf(tp_image_18964633_state,type,
    image_18964633_state: $i > $i > $i ).

thf(tp_image_2003357581_state,type,
    image_2003357581_state: $i > $i > $i ).

thf(tp_image_2131964411e_bool,type,
    image_2131964411e_bool: $i > $i > $i ).

thf(tp_image_288317893l_bool,type,
    image_288317893l_bool: $i > $i > $i ).

thf(tp_image_47868345e_bool,type,
    image_47868345e_bool: $i > $i > $i ).

thf(tp_image_516545147_state,type,
    image_516545147_state: $i > $i > $i ).

thf(tp_image_54689091_pname,type,
    image_54689091_pname: $i > $i > $i ).

thf(tp_image_677922117_state,type,
    image_677922117_state: $i > $i > $i ).

thf(tp_image_70449425e_bool,type,
    image_70449425e_bool: $i > $i > $i ).

thf(tp_image_892968839_state,type,
    image_892968839_state: $i > $i > $i ).

thf(tp_image_pname_pname,type,
    image_pname_pname: $i > $i > $i ).

thf(tp_insert1117693814l_bool,type,
    insert1117693814l_bool: $i > $i > $i ).

thf(tp_insert1325755072e_bool,type,
    insert1325755072e_bool: $i > $i > $i ).

thf(tp_insert1415133716_state,type,
    insert1415133716_state: $i > $i > $i ).

thf(tp_insert1556680138e_bool,type,
    insert1556680138e_bool: $i > $i > $i ).

thf(tp_insert203537868l_bool,type,
    insert203537868l_bool: $i > $i > $i ).

thf(tp_insert_pname,type,
    insert_pname: $i > $i > $i ).

thf(tp_is_bool,type,
    is_bool: $i > $o ).

thf(tp_is_fun1661590463l_bool,type,
    is_fun1661590463l_bool: $i > $o ).

thf(tp_is_fun_pname_bool,type,
    is_fun_pname_bool: $i > $o ).

thf(tp_is_pname,type,
    is_pname: $i > $o ).

thf(tp_member1338687867_state,type,
    member1338687867_state: $i ).

thf(tp_member2114907555e_bool,type,
    member2114907555e_bool: $i ).

thf(tp_member799430823e_bool,type,
    member799430823e_bool: $i ).

thf(tp_member_pname,type,
    member_pname: $i ).

thf(tp_ord_le1285840794e_bool,type,
    ord_le1285840794e_bool: $i ).

thf(tp_ord_le1375671464l_bool,type,
    ord_le1375671464l_bool: $i ).

thf(tp_ord_le287025148l_bool,type,
    ord_le287025148l_bool: $i ).

thf(tp_ord_le313189616e_bool,type,
    ord_le313189616e_bool: $i ).

thf(tp_ord_le675606854l_bool,type,
    ord_le675606854l_bool: $i ).

thf(tp_ord_le889598034l_bool,type,
    ord_le889598034l_bool: $i ).

thf(tp_pn,type,
    pn: $i ).

thf(tp_pname,type,
    pname: $i ).

thf(tp_sK10_SY2603,type,
    sK10_SY2603: $i > $i > $i > $i ).

thf(tp_sK11_A_1,type,
    sK11_A_1: $i > $i > $i > $i ).

thf(tp_sK12_SY2604,type,
    sK12_SY2604: $i > $i > $i > $i ).

thf(tp_sK13_X_1,type,
    sK13_X_1: $i > $i > $i > $i ).

thf(tp_sK14_X_1,type,
    sK14_X_1: $i > $i > $i ).

thf(tp_sK15_AA,type,
    sK15_AA: $i > $i > $i > $i ).

thf(tp_sK16_X_1,type,
    sK16_X_1: $i > $i > $i > $i ).

thf(tp_sK17_X_1,type,
    sK17_X_1: $i > $i ).

thf(tp_sK18_X_1,type,
    sK18_X_1: $i > $i ).

thf(tp_sK19_X_1,type,
    sK19_X_1: $i > $i ).

thf(tp_sK1_C,type,
    sK1_C: $i > $i > $i > $i ).

thf(tp_sK20_X_1,type,
    sK20_X_1: $i > $i ).

thf(tp_sK21_X_1,type,
    sK21_X_1: $i > $i ).

thf(tp_sK22_X_1,type,
    sK22_X_1: $i > $i ).

thf(tp_sK23_X_1,type,
    sK23_X_1: $i > $i ).

thf(tp_sK24_X_1,type,
    sK24_X_1: $i > $i ).

thf(tp_sK25_X_1,type,
    sK25_X_1: $i > $i ).

thf(tp_sK26_X_1,type,
    sK26_X_1: $i > $i ).

thf(tp_sK27_X_1,type,
    sK27_X_1: $i > $i ).

thf(tp_sK28_X_1,type,
    sK28_X_1: $i > $i ).

thf(tp_sK29_X_1,type,
    sK29_X_1: $i > $i ).

thf(tp_sK2_X_1,type,
    sK2_X_1: $i > $i > $i ).

thf(tp_sK30_X_1,type,
    sK30_X_1: $i > $i ).

thf(tp_sK31_X_1,type,
    sK31_X_1: $i > $i ).

thf(tp_sK32_X_1,type,
    sK32_X_1: $i > $i ).

thf(tp_sK33_X_1,type,
    sK33_X_1: $i > $i ).

thf(tp_sK34_X_1,type,
    sK34_X_1: $i > $i ).

thf(tp_sK35_X_1,type,
    sK35_X_1: $i > $i ).

thf(tp_sK36_X_1,type,
    sK36_X_1: $i > $i ).

thf(tp_sK3_X_1,type,
    sK3_X_1: $i > $i > $i ).

thf(tp_sK4_Y_1,type,
    sK4_Y_1: $i > $i ).

thf(tp_sK5_A_1,type,
    sK5_A_1: $i > $i > $i > $i ).

thf(tp_sK6_SY2601,type,
    sK6_SY2601: $i > $i > $i > $i ).

thf(tp_sK7_A_1,type,
    sK7_A_1: $i > $i > $i > $i ).

thf(tp_sK8_SY2602,type,
    sK8_SY2602: $i > $i > $i > $i ).

thf(tp_sK9_A_1,type,
    sK9_A_1: $i > $i > $i > $i ).

thf(tp_some_com,type,
    some_com: $i > $i ).

thf(tp_the_com,type,
    the_com: $i ).

thf(tp_undefi17486888e_bool,type,
    undefi17486888e_bool: $i > $i ).

thf(tp_undefi64961550l_bool,type,
    undefi64961550l_bool: $i > $i ).

thf(tp_undefined_pname,type,
    undefined_pname: $i > $i ).

thf(tp_wT_bodies,type,
    wT_bodies: $i ).

thf(tp_wt,type,
    wt: $i > $i ).

thf(tp_y,type,
    y: $i ).

thf(3,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ P ) @ Q ) @ R )
      = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016) ).

thf(5,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ P ) @ Q ) @ R )
      = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).

thf(7,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ P ) @ Q ) @ R )
      = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014) ).

thf(12,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ P @ Q ) @ R )
      = ( hAPP_b589554111l_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011) ).

thf(17,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ P @ Q ) @ R )
      = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ P @ R ) @ ( hAPP_f971112728l_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).

thf(19,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ P @ Q ) @ R )
      = ( hAPP_bool_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__) ).

thf(24,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe) ).

thf(30,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ P @ Q ) @ R )
      = ( hAPP_c1126217667_state @ P @ ( hAPP_pname_com @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O) ).

thf(31,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
      | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).

thf(32,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) )
      | ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).

thf(41,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
      | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).

thf(42,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) )
      | ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).

thf(49,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).

thf(50,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( is_fun_pname_bool @ X )
        & ( is_fun_pname_bool @ Y ) )
     => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) )
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).

thf(53,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
      | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Com__Opname_T) ).

thf(54,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( is_pname @ X )
        & ( is_pname @ Y ) )
     => ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) )
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Com__Opname_T) ).

thf(55,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
      | ~ ( hBOOL @ P )
      | ( hBOOL @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).

thf(56,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ Q )
      | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).

thf(57,axiom,
    ! [Q: $i,P: $i] :
      ( ( hBOOL @ P )
      | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).

thf(59,axiom,
    ~ ( hBOOL @ fFalse ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

thf(60,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
      | ( hBOOL @ P )
      | ( hBOOL @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_3_1_U) ).

thf(61,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ Q )
      | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_2_1_U) ).

thf(62,axiom,
    ! [Q: $i,P: $i] :
      ( ~ ( hBOOL @ P )
      | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_1_1_U) ).

thf(63,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
      | ( hBOOL @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_3_1_U) ).

thf(64,axiom,
    ! [P: $i,Q: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
      | ( hBOOL @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_2_1_U) ).

thf(65,axiom,
    ! [Q: $i,P: $i] :
      ( ~ ( hBOOL @ P )
      | ~ ( hBOOL @ Q )
      | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_1_1_U) ).

thf(66,axiom,
    ! [P: $i] :
      ( ( hBOOL @ P )
      | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_2_1_U) ).

thf(67,axiom,
    ! [P: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
      | ~ ( hBOOL @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_1_1_U) ).

thf(68,axiom,
    ! [Pname_1: $i,Pname: $i] :
      ( ( ( is_pname @ Pname_1 )
        & ( is_pname @ Pname ) )
     => ( ( ( hAPP_pname_com @ body_1 @ Pname_1 )
          = ( hAPP_pname_com @ body_1 @ Pname ) )
      <=> ( Pname_1 = Pname ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_com_Osimps_I6_J) ).

thf(69,axiom,
    hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( dom_pname_com @ body ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_finite__dom__body) ).

thf(70,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
       => ? [C: $i] :
            ( ( is_fun_pname_bool @ C )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C ) @ A ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ C ) )
            & ( B
              = ( image_2003357581_state @ F @ C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_finite__subset__image) ).

thf(71,axiom,
    ! [B: $i,A: $i] :
      ( ! [X_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ B ) ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_subsetI) ).

thf(72,axiom,
    ! [B: $i,A: $i] :
      ( ! [X_1: $i] :
          ( ( is_pname @ X_1 )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ B ) ) ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_subsetI) ).

thf(73,axiom,
    ! [P: $i] :
      ( ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ P ) ) )
     => ~ ! [Y_1: $i] :
            ( ( hAPP_p799580910on_com @ body @ P )
           != ( some_com @ Y_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_WTs__elim__cases_I7_J) ).

thf(74,axiom,
    ! [P_1: $i,A: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ Fa ) @ A ) )
       => ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ bot_bo535777328l_bool ) )
         => ( ! [A_1: $i,F_1: $i] :
                ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ F_1 ) )
               => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_1 ) @ A ) )
                 => ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_1 ) @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ F_1 ) )
                     => ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( insert1556680138e_bool @ A_1 @ F_1 ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ Fa ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_finite__subset__induct) ).

thf(75,axiom,
    ! [P_1: $i,A: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ Fa ) @ A ) )
       => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ bot_bo1649642514l_bool ) )
         => ( ! [A_1: $i,F_1: $i] :
                ( ( ( is_fun_pname_bool @ A_1 )
                  & ( is_fun1661590463l_bool @ F_1 ) )
               => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ F_1 ) )
                 => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_1 ) @ A ) )
                   => ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_1 ) @ F_1 ) )
                     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ F_1 ) )
                       => ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( insert1325755072e_bool @ A_1 @ F_1 ) ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ Fa ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_finite__subset__induct) ).

thf(76,axiom,
    ! [P_1: $i,A: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Fa ) @ A ) )
       => ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ bot_bo620288102e_bool ) )
         => ( ! [A_1: $i,F_1: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ F_1 ) )
               => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_1 ) @ A ) )
                 => ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_1 ) @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ F_1 ) )
                     => ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( insert1415133716_state @ A_1 @ F_1 ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ Fa ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_finite__subset__induct) ).

thf(77,axiom,
    ! [P_1: $i,A: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ Fa ) @ A ) )
       => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ bot_bo844097828e_bool ) )
         => ( ! [A_1: $i,F_1: $i] :
                ( ( ( is_pname @ A_1 )
                  & ( is_fun_pname_bool @ F_1 ) )
               => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ F_1 ) )
                 => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_1 ) @ A ) )
                   => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_1 ) @ F_1 ) )
                     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ F_1 ) )
                       => ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( insert_pname @ A_1 @ F_1 ) ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ Fa ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_finite__subset__induct) ).

thf(78,axiom,
    ! [B_1: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) )
     => ~ ! [X_1: $i] :
            ( ( is_pname @ X_1 )
           => ( ( B_1
                = ( hAPP_p1422361149_state @ F @ X_1 ) )
             => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_imageE) ).

thf(79,axiom,
    ! [Pn: $i,B_2: $i] :
      ( ( hBOOL @ wT_bodies )
     => ( ( ( hAPP_p799580910on_com @ body @ Pn )
          = ( some_com @ B_2 ) )
       => ( hBOOL @ ( wt @ B_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).

thf(80,axiom,
    ! [C_1: $i,G: $i] :
      ( ( hBOOL @ hoare_165779456gleton )
     => ( ! [X_1: $i] :
            ( ( is_pname @ X_1 )
           => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ ( dom_pname_com @ body ) ) )
             => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ X_1 ) ) @ bot_bo620288102e_bool ) ) ) ) )
       => ( ( hBOOL @ ( wt @ C_1 ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_MGF__lemma1) ).

thf(83,axiom,
    ! [A_2: $i] :
      ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) )
      = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).

thf(87,axiom,
    ! [A_2: $i] :
      ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) )
      = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_singleton__conv) ).

thf(89,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
       => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
          = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
       => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
          = bot_bo535777328l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_Collect__conv__if2) ).

thf(90,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
       => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
          = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
       => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
          = bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_Collect__conv__if2) ).

thf(91,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
       => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
       => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
          = bot_bo620288102e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_Collect__conv__if2) ).

thf(92,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
       => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
          = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
       => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
          = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_Collect__conv__if2) ).

thf(93,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
       => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
          = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
       => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
          = bot_bo535777328l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_Collect__conv__if) ).

thf(94,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
       => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
          = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
       => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
          = bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_Collect__conv__if) ).

thf(95,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
       => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
       => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
          = bot_bo620288102e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_Collect__conv__if) ).

thf(96,axiom,
    ! [P_1: $i,A_2: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
       => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
          = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
       => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
          = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_Collect__conv__if) ).

thf(97,axiom,
    ! [M: $i,A_2: $i,B_1: $i] :
      ( ( ( hAPP_p799580910on_com @ M @ A_2 )
        = ( some_com @ B_1 ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( dom_pname_com @ M ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_domI) ).

thf(98,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
    <=> ? [AA: $i] :
          ( ( is_fun_pname_bool @ AA )
          & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ AA ) @ A ) )
          & ( B
            = ( image_2003357581_state @ F @ AA ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_subset__image__iff) ).

thf(99,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ F @ A ) ) @ ( image_2003357581_state @ F @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_image__mono) ).

thf(100,axiom,
    ! [F: $i,A_2: $i,B: $i] :
      ( ( image_2003357581_state @ F @ ( insert_pname @ A_2 @ B ) )
      = ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ A_2 ) @ ( image_2003357581_state @ F @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_image__insert) ).

thf(101,axiom,
    ! [F: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ X_2 ) @ ( image_2003357581_state @ F @ A ) )
        = ( image_2003357581_state @ F @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_insert__image) ).

thf(102,axiom,
    ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( insert1415133716_state @ A_2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_subset__insertI) ).

thf(103,axiom,
    ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( insert_pname @ A_2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_subset__insertI) ).

thf(104,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
    <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
        & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_insert__subset) ).

thf(105,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
    <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
        & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_insert__subset) ).

thf(106,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) )
      <=> ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_subset__insert) ).

thf(107,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) )
      <=> ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_subset__insert) ).

thf(108,axiom,
    ! [B_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_subset__insertI2) ).

thf(109,axiom,
    ! [B_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_subset__insertI2) ).

thf(114,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_mem__def) ).

thf(115,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_mem__def) ).

thf(116,axiom,
    ! [A_2: $i,C_2: $i,D: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ C_2 ) @ D ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ A_2 @ C_2 ) ) @ ( insert1415133716_state @ A_2 @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_insert__mono) ).

thf(117,axiom,
    ! [A_2: $i,C_2: $i,D: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C_2 ) @ D ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ A_2 @ C_2 ) ) @ ( insert_pname @ A_2 @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_insert__mono) ).

thf(118,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_rev__finite__subset) ).

thf(119,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_rev__finite__subset) ).

thf(120,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_rev__finite__subset) ).

thf(121,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_rev__finite__subset) ).

thf(122,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_finite__subset) ).

thf(123,axiom,
    ! [A: $i,B: $i] :
      ( ( 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 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_finite__subset) ).

thf(124,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_finite__subset) ).

thf(125,axiom,
    ! [A: $i,B: $i] :
      ( ( 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 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_finite__subset) ).

thf(126,axiom,
    ! [F: $i,A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( bot_bo620288102e_bool
          = ( image_2003357581_state @ F @ A ) )
      <=> ( A = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_empty__is__image) ).

thf(127,axiom,
    ! [F: $i] :
      ( ( image_2003357581_state @ F @ bot_bo844097828e_bool )
      = bot_bo620288102e_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_image__empty) ).

thf(128,axiom,
    ! [F: $i,A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( ( image_2003357581_state @ F @ A )
          = bot_bo620288102e_bool )
      <=> ( A = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_image__is__empty) ).

thf(129,axiom,
    ! [A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) )
    <=> ( A = bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_subset__empty) ).

thf(130,axiom,
    ! [A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) )
      <=> ( A = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_subset__empty) ).

thf(131,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) )
    <=> ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_finite__insert) ).

thf(132,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) )
    <=> ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_finite__insert) ).

thf(133,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) )
    <=> ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_finite__insert) ).

thf(134,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) )
    <=> ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_finite__insert) ).

thf(135,axiom,
    ! [A_2: $i,A: $i] :
      ( bot_bo620288102e_bool
     != ( insert1415133716_state @ A_2 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_empty__not__insert) ).

thf(137,axiom,
    ! [A_2: $i,A: $i] :
      ( ( insert1415133716_state @ A_2 @ A )
     != bot_bo620288102e_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_insert__not__empty) ).

thf(139,axiom,
    ! [B_1: $i,A_2: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
    <=> ( B_1 = A_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_singleton__iff) ).

thf(140,axiom,
    ! [B_1: $i,A_2: $i] :
      ( ( ( is_pname @ B_1 )
        & ( is_pname @ A_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      <=> ( B_1 = A_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_singleton__iff) ).

thf(141,axiom,
    ! [A_2: $i,B_1: $i,C_1: $i,D_1: $i] :
      ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
        = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
    <=> ( ( ( A_2 = C_1 )
          & ( B_1 = D_1 ) )
        | ( ( A_2 = D_1 )
          & ( B_1 = C_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_doubleton__eq__iff) ).

thf(143,axiom,
    ! [B_1: $i,A_2: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
     => ( B_1 = A_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_singletonE) ).

thf(144,axiom,
    ! [B_1: $i,A_2: $i] :
      ( ( ( is_pname @ B_1 )
        & ( is_pname @ A_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
       => ( B_1 = A_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_singletonE) ).

thf(145,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool )
        = ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
     => ( A_2 = B_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_singleton__inject) ).

thf(149,axiom,
    ! [X_1: $i,Xa: $i] :
      ( ( insert1415133716_state @ X_1 @ Xa )
      = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ X_1 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ Xa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_insert__compr__raw) ).

thf(151,axiom,
    ! [P_1: $i,Q_1: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
    <=> ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
        & ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_finite__Collect__disjI) ).

thf(152,axiom,
    ! [P_1: $i,Q_1: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
    <=> ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
        & ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_finite__Collect__disjI) ).

thf(153,axiom,
    ! [P_1: $i,Q_1: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
    <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
        & ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_finite__Collect__disjI) ).

thf(154,axiom,
    ! [P_1: $i,Q_1: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
    <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
        & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_finite__Collect__disjI) ).

thf(155,axiom,
    ! [Z: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) )
    <=> ? [X_1: $i] :
          ( ( is_pname @ X_1 )
          & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
          & ( Z
            = ( hAPP_p1422361149_state @ F @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_image__iff) ).

thf(156,axiom,
    ! [F: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ F @ X_2 ) ) @ ( image_2003357581_state @ F @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_imageI) ).

thf(157,axiom,
    ! [B_1: $i,F: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( B_1
          = ( hAPP_p1422361149_state @ F @ X_2 ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_rev__image__eqI) ).

thf(158,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_subset__refl) ).

thf(159,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_subset__refl) ).

thf(160,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
        & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_set__eq__subset) ).

thf(161,axiom,
    ! [A: $i,B: $i] :
      ( ( ( is_fun_pname_bool @ A )
        & ( is_fun_pname_bool @ B ) )
     => ( ( A = B )
      <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_set__eq__subset) ).

thf(162,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_equalityD1) ).

thf(163,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_equalityD1) ).

thf(164,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_equalityD2) ).

thf(165,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_equalityD2) ).

thf(166,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_in__mono) ).

thf(167,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_in__mono) ).

thf(168,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_set__rev__mp) ).

thf(169,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_set__rev__mp) ).

thf(170,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_set__mp) ).

thf(171,axiom,
    ! [X_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_set__mp) ).

thf(172,axiom,
    ! [C_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ C_2 ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ C_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_subset__trans) ).

thf(173,axiom,
    ! [C_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ C_2 ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ C_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_subset__trans) ).

thf(174,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ~ ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_equalityE) ).

thf(175,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ~ ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_equalityE) ).

thf(176,axiom,
    ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ A_2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_insertI1) ).

thf(177,axiom,
    ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ A_2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_insertI1) ).

thf(180,axiom,
    ! [A_2: $i,B: $i] :
      ( ( insert1415133716_state @ A_2 @ B )
      = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_insert__compr) ).

thf(184,axiom,
    ! [A_2: $i,P_1: $i] :
      ( ( insert1415133716_state @ A_2 @ ( collec307967673_state @ P_1 ) )
      = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fimplies @ ( cOMBB_2144135922_state @ fNot @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) ) @ P_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_insert__Collect) ).

thf(186,axiom,
    ! [X_2: $i,A: $i] :
      ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ X_2 @ A ) )
      = ( insert1415133716_state @ X_2 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_insert__absorb2) ).

thf(188,axiom,
    ! [X_2: $i,Y_2: $i,A: $i] :
      ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ Y_2 @ A ) )
      = ( insert1415133716_state @ Y_2 @ ( insert1415133716_state @ X_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_insert__commute) ).

thf(190,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
    <=> ( ( A_2 = B_1 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_insert__iff) ).

thf(191,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( ( is_pname @ A_2 )
        & ( is_pname @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
      <=> ( ( A_2 = B_1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_insert__iff) ).

thf(192,axiom,
    ! [Y_2: $i,A: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) )
    <=> ( ( Y_2 = X_2 )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_insert__code) ).

thf(193,axiom,
    ! [Y_2: $i,A: $i,X_2: $i] :
      ( ( ( is_pname @ Y_2 )
        & ( is_pname @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) )
      <=> ( ( Y_2 = X_2 )
          | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_insert__code) ).

thf(194,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
       => ( ( ( insert1415133716_state @ X_2 @ A )
            = ( insert1415133716_state @ X_2 @ B ) )
        <=> ( A = B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_insert__ident) ).

thf(195,axiom,
    ! [B: $i,X_2: $i,A: $i] :
      ( ( ( is_fun_pname_bool @ B )
        & ( is_fun_pname_bool @ A ) )
     => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
         => ( ( ( insert_pname @ X_2 @ A )
              = ( insert_pname @ X_2 @ B ) )
          <=> ( A = B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_insert__ident) ).

thf(196,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_insertI2) ).

thf(197,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_insertI2) ).

thf(198,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
     => ( ( insert1415133716_state @ A_2 @ A )
        = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_insert__absorb) ).

thf(199,axiom,
    ! [A_2: $i,A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
       => ( ( insert_pname @ A_2 @ A )
          = A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_insert__absorb) ).

thf(201,axiom,
    ( bot_bo620288102e_bool
    = ( collec307967673_state @ ( cOMBK_659609255_state @ fFalse ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_empty__def) ).

thf(205,axiom,
    ! [A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ! [X_1: $i] :
            ( ( is_pname @ X_1 )
           => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) )
      <=> ( A = bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_all__not__in__conv) ).

thf(206,axiom,
    ! [A: $i] :
      ( ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
    <=> ( A = bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_all__not__in__conv) ).

thf(207,axiom,
    ! [A: $i] :
      ( ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
    <=> ( A = bot_bo535777328l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_all__not__in__conv) ).

thf(208,axiom,
    ! [A: $i] :
      ( ( is_fun1661590463l_bool @ A )
     => ( ! [X_1: $i] :
            ( ( is_fun_pname_bool @ X_1 )
           => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) )
      <=> ( A = bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_all__not__in__conv) ).

thf(209,axiom,
    ! [A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ? [X_1: $i] :
            ( ( is_pname @ X_1 )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) )
      <=> ( A != bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_ex__in__conv) ).

thf(210,axiom,
    ! [A: $i] :
      ( ? [X_1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
    <=> ( A != bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_ex__in__conv) ).

thf(211,axiom,
    ! [A: $i] :
      ( ? [X_1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
    <=> ( A != bot_bo535777328l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_ex__in__conv) ).

thf(212,axiom,
    ! [A: $i] :
      ( ( is_fun1661590463l_bool @ A )
     => ( ? [X_1: $i] :
            ( ( is_fun_pname_bool @ X_1 )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) )
      <=> ( A != bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_ex__in__conv) ).

thf(213,axiom,
    ! [P_1: $i] :
      ( ( bot_bo844097828e_bool
        = ( collect_pname @ P_1 ) )
    <=> ! [X_1: $i] :
          ( ( is_pname @ X_1 )
         => ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_empty__Collect__eq) ).

thf(214,axiom,
    ! [P_1: $i] :
      ( ( bot_bo620288102e_bool
        = ( collec307967673_state @ P_1 ) )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_empty__Collect__eq) ).

thf(215,axiom,
    ! [P_1: $i] :
      ( ( bot_bo1649642514l_bool
        = ( collec1974731493e_bool @ P_1 ) )
    <=> ! [X_1: $i] :
          ( ( is_fun_pname_bool @ X_1 )
         => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_empty__Collect__eq) ).

thf(216,axiom,
    ! [P_1: $i] :
      ( ( bot_bo535777328l_bool
        = ( collec1823980261e_bool @ P_1 ) )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_empty__Collect__eq) ).

thf(217,axiom,
    ! [P_1: $i] :
      ( ( bot_bo1761158942l_bool
        = ( collec488126193l_bool @ P_1 ) )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_empty__Collect__eq) ).

thf(218,axiom,
    ! [P_1: $i] :
      ( ( bot_bo1537088220l_bool
        = ( collec1613912337l_bool @ P_1 ) )
    <=> ! [X_1: $i] :
          ( ( is_fun1661590463l_bool @ X_1 )
         => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_empty__Collect__eq) ).

thf(219,axiom,
    ! [C_1: $i] :
      ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ bot_bo844097828e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_empty__iff) ).

thf(220,axiom,
    ! [C_1: $i] :
      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_empty__iff) ).

thf(221,axiom,
    ! [C_1: $i] :
      ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ bot_bo535777328l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_empty__iff) ).

thf(222,axiom,
    ! [C_1: $i] :
      ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ bot_bo1649642514l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_empty__iff) ).

thf(223,axiom,
    ! [P_1: $i] :
      ( ( ( collect_pname @ P_1 )
        = bot_bo844097828e_bool )
    <=> ! [X_1: $i] :
          ( ( is_pname @ X_1 )
         => ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_Collect__empty__eq) ).

thf(224,axiom,
    ! [P_1: $i] :
      ( ( ( collec307967673_state @ P_1 )
        = bot_bo620288102e_bool )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_Collect__empty__eq) ).

thf(225,axiom,
    ! [P_1: $i] :
      ( ( ( collec1974731493e_bool @ P_1 )
        = bot_bo1649642514l_bool )
    <=> ! [X_1: $i] :
          ( ( is_fun_pname_bool @ X_1 )
         => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_Collect__empty__eq) ).

thf(226,axiom,
    ! [P_1: $i] :
      ( ( ( collec1823980261e_bool @ P_1 )
        = bot_bo535777328l_bool )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_Collect__empty__eq) ).

thf(227,axiom,
    ! [P_1: $i] :
      ( ( ( collec488126193l_bool @ P_1 )
        = bot_bo1761158942l_bool )
    <=> ! [X_1: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_Collect__empty__eq) ).

thf(228,axiom,
    ! [P_1: $i] :
      ( ( ( collec1613912337l_bool @ P_1 )
        = bot_bo1537088220l_bool )
    <=> ! [X_1: $i] :
          ( ( is_fun1661590463l_bool @ X_1 )
         => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_Collect__empty__eq) ).

thf(229,axiom,
    ! [A_2: $i,A: $i] :
      ( ( A = bot_bo844097828e_bool )
     => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_equals0D) ).

thf(230,axiom,
    ! [A_2: $i,A: $i] :
      ( ( A = bot_bo620288102e_bool )
     => ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_equals0D) ).

thf(231,axiom,
    ! [A_2: $i,A: $i] :
      ( ( A = bot_bo535777328l_bool )
     => ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_equals0D) ).

thf(232,axiom,
    ! [A_2: $i,A: $i] :
      ( ( A = bot_bo1649642514l_bool )
     => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_equals0D) ).

thf(233,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_p1422361149_state @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_image__eqI) ).

thf(234,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_f560369737_pname @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_187965177_pname @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_image__eqI) ).

thf(235,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_f1297739591_pname @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_1283814551_pname @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_image__eqI) ).

thf(236,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_pname_pname @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_pname_pname @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_image__eqI) ).

thf(237,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_H1621176307_pname @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_54689091_pname @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_image__eqI) ).

thf(238,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_f1387463497_state @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_18964633_state @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_image__eqI) ).

thf(239,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_f888949707_state @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_516545147_state @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_image__eqI) ).

thf(240,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_p442853985e_bool @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_70449425e_bool @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_image__eqI) ).

thf(241,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_p61793385e_bool @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_47868345e_bool @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_image__eqI) ).

thf(242,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_H1049623551e_bool @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_1828608335e_bool @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_image__eqI) ).

thf(243,axiom,
    ! [A: $i,B_1: $i,F: $i,X_2: $i] :
      ( ( B_1
        = ( hAPP_H356885323e_bool @ F @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_2131964411e_bool @ F @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_image__eqI) ).

thf(244,axiom,
    ! [C_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_subsetD) ).

thf(245,axiom,
    ! [C_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ A ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_subsetD) ).

thf(246,axiom,
    ! [C_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ A ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_subsetD) ).

thf(247,axiom,
    ! [C_1: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ A ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_subsetD) ).

thf(248,axiom,
    ! [A: $i,B: $i] :
      ( ( ( is_fun_pname_bool @ A )
        & ( is_fun_pname_bool @ B ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
       => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
         => ( A = B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_equalityI) ).

thf(249,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ A ) )
       => ( A = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_equalityI) ).

thf(250,axiom,
    ! [A: $i,B: $i] :
      ( ( ( is_fun1661590463l_bool @ A )
        & ( is_fun1661590463l_bool @ B ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
       => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ A ) )
         => ( A = B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_equalityI) ).

thf(251,axiom,
    ! [A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
       => ( A = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_equalityI) ).

thf(252,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( ( is_pname @ A_2 )
        & ( is_pname @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
       => ( ( A_2 != B_1 )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_insertE) ).

thf(253,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ A ) ) )
     => ( ( A_2 != B_1 )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_insertE) ).

thf(254,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( ( is_fun_pname_bool @ A_2 )
        & ( is_fun_pname_bool @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ A ) ) )
       => ( ( A_2 != B_1 )
         => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_insertE) ).

thf(255,axiom,
    ! [A_2: $i,B_1: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
     => ( ( A_2 != B_1 )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_insertE) ).

thf(256,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
       => ( A_2 = B_1 ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_insertCI) ).

thf(257,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ B ) )
       => ( A_2 = B_1 ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_insertCI) ).

thf(258,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ B ) )
       => ( A_2 = B_1 ) )
     => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_insertCI) ).

thf(259,axiom,
    ! [B_1: $i,A_2: $i,B: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
       => ( A_2 = B_1 ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_insertCI) ).

thf(260,axiom,
    ! [A_2: $i] :
      ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ bot_bo844097828e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_emptyE) ).

thf(261,axiom,
    ! [A_2: $i] :
      ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ bot_bo535777328l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_emptyE) ).

thf(262,axiom,
    ! [A_2: $i] :
      ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ bot_bo1649642514l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_emptyE) ).

thf(263,axiom,
    ! [A_2: $i] :
      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_emptyE) ).

thf(264,axiom,
    ! [C_1: $i] :
      ( ( hBOOL @ hoare_165779456gleton )
     => ( ( hBOOL @ wT_bodies )
       => ( ( hBOOL @ ( wt @ C_1 ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).

thf(265,axiom,
    ! [A: $i,X_2: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) )
       => ( ( A = bot_bo844097828e_bool )
          | ( A
            = ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_subset__singletonD) ).

thf(266,axiom,
    ! [A: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) )
     => ( ( A = bot_bo535777328l_bool )
        | ( A
          = ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_subset__singletonD) ).

thf(267,axiom,
    ! [A: $i,X_2: $i] :
      ( ( is_fun1661590463l_bool @ A )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) )
       => ( ( A = bot_bo1649642514l_bool )
          | ( A
            = ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_subset__singletonD) ).

thf(268,axiom,
    ! [A: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) )
     => ( ( A = bot_bo620288102e_bool )
        | ( A
          = ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_subset__singletonD) ).

thf(269,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_2131964411e_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_finite__surj) ).

thf(270,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_1828608335e_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_finite__surj) ).

thf(271,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_54689091_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_finite__surj) ).

thf(272,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_1761575943l_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_finite__surj) ).

thf(273,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1210605179l_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_finite__surj) ).

thf(274,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_47868345e_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_finite__surj) ).

thf(275,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_70449425e_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_finite__surj) ).

thf(276,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_pname_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_finite__surj) ).

thf(277,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_288317893l_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_finite__surj) ).

thf(278,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1642285373l_bool @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_finite__surj) ).

thf(279,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_516545147_state @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_finite__surj) ).

thf(280,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_18964633_state @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_finite__surj) ).

thf(281,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_892968839_state @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_finite__surj) ).

thf(282,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_677922117_state @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_finite__surj) ).

thf(283,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1283814551_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_finite__surj) ).

thf(284,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_187965177_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_finite__surj) ).

thf(285,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1619336331_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_finite__surj) ).

thf(286,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1705983821_pname @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_finite__surj) ).

thf(287,axiom,
    ! [B: $i,F: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_finite__surj) ).

thf(290,axiom,
    ! [F: $i,X_2: $i,Y_2: $i] :
      ( ( ( hAPP_p799580910on_com @ F @ X_2 )
        = ( some_com @ Y_2 ) )
     => ( ( insert_pname @ X_2 @ ( dom_pname_com @ F ) )
        = ( dom_pname_com @ F ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_insert__dom) ).

thf(291,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
     => ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ C_1 ) @ A )
        = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_image__constant) ).

thf(292,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
     => ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ C_1 ) @ A )
        = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_image__constant) ).

thf(293,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
     => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
        = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_image__constant) ).

thf(294,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
     => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
        = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_image__constant) ).

thf(295,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( image_pname_pname @ ( cOMBK_pname_pname @ C_1 ) @ A )
        = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_image__constant) ).

thf(296,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ C_1 ) @ A )
        = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_image__constant) ).

thf(297,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ C_1 ) @ A )
        = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_image__constant) ).

thf(298,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
        = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_image__constant) ).

thf(299,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
        = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_image__constant) ).

thf(300,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
     => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
        = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_image__constant) ).

thf(301,axiom,
    ! [C_1: $i,X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
     => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
        = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_image__constant) ).

thf(304,axiom,
    ! [C_1: $i,A: $i] :
      ( ( ( A = bot_bo535777328l_bool )
       => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
          = bot_bo620288102e_bool ) )
      & ( ( A != bot_bo535777328l_bool )
       => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
          = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_image__constant__conv) ).

thf(305,axiom,
    ! [C_1: $i,A: $i] :
      ( ( is_fun1661590463l_bool @ A )
     => ( ( ( A = bot_bo1649642514l_bool )
         => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
        & ( ( A != bot_bo1649642514l_bool )
         => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_image__constant__conv) ).

thf(309,axiom,
    ! [C_1: $i,A: $i] :
      ( ( ( A = bot_bo620288102e_bool )
       => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
          = bot_bo535777328l_bool ) )
      & ( ( A != bot_bo620288102e_bool )
       => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
          = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_image__constant__conv) ).

thf(310,axiom,
    ! [C_1: $i,A: $i] :
      ( ( ( A = bot_bo620288102e_bool )
       => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
          = bot_bo1649642514l_bool ) )
      & ( ( A != bot_bo620288102e_bool )
       => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
          = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_image__constant__conv) ).

thf(311,axiom,
    ! [C_1: $i,A: $i] :
      ( ( ( A = bot_bo620288102e_bool )
       => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
          = bot_bo844097828e_bool ) )
      & ( ( A != bot_bo620288102e_bool )
       => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
          = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_image__constant__conv) ).

thf(312,axiom,
    ! [C_1: $i,A: $i] :
      ( ( is_fun_pname_bool @ A )
     => ( ( ( A = bot_bo844097828e_bool )
         => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
        & ( ( A != bot_bo844097828e_bool )
         => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_image__constant__conv) ).

thf(313,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
        | ( 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 @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_finite__Collect__conjI) ).

thf(314,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_finite__Collect__conjI) ).

thf(315,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ P_1 ) ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ Q_1 ) ) ) )
     => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_finite__Collect__conjI) ).

thf(316,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ P_1 ) ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ Q_1 ) ) ) )
     => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_finite__Collect__conjI) ).

thf(317,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_finite__Collect__conjI) ).

thf(318,axiom,
    ! [Q_1: $i,P_1: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
        | ( 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 @ P_1 ) @ Q_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_finite__Collect__conjI) ).

thf(319,axiom,
    hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ bot_bo1649642514l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_finite_OemptyI) ).

thf(320,axiom,
    hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ bot_bo535777328l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_finite_OemptyI) ).

thf(321,axiom,
    hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ bot_bo1761158942l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_finite_OemptyI) ).

thf(322,axiom,
    hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ bot_bo1537088220l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_finite_OemptyI) ).

thf(323,axiom,
    hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ bot_bo620288102e_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_finite_OemptyI) ).

thf(324,axiom,
    hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ bot_bo844097828e_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_finite_OemptyI) ).

thf(325,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
     => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_finite_OinsertI) ).

thf(326,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_finite_OinsertI) ).

thf(327,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
     => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_finite_OinsertI) ).

thf(328,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
     => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_finite_OinsertI) ).

thf(329,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_finite_OinsertI) ).

thf(330,axiom,
    ! [A_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_finite_OinsertI) ).

thf(331,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ bot_bo844097828e_bool ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_empty__subsetI) ).

thf(332,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ bot_bo535777328l_bool ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_empty__subsetI) ).

thf(333,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ bot_bo1649642514l_bool ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_empty__subsetI) ).

thf(334,axiom,
    ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ bot_bo620288102e_bool ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_empty__subsetI) ).

thf(335,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_finite__imageI) ).

thf(336,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_finite__imageI) ).

thf(337,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_finite__imageI) ).

thf(338,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_finite__imageI) ).

thf(339,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_finite__imageI) ).

thf(340,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
     => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_finite__imageI) ).

thf(341,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_finite__imageI) ).

thf(342,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_finite__imageI) ).

thf(343,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_finite__imageI) ).

thf(344,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_finite__imageI) ).

thf(345,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_finite__imageI) ).

thf(346,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_finite__imageI) ).

thf(347,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_finite__imageI) ).

thf(348,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_finite__imageI) ).

thf(349,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_finite__imageI) ).

thf(350,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_finite__imageI) ).

thf(351,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_finite__imageI) ).

thf(352,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
     => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_finite__imageI) ).

thf(353,axiom,
    ! [H: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ H @ Fa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_finite__imageI) ).

thf(354,axiom,
    ! [A: $i] :
      ( ( 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 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_finite__Collect__subsets) ).

thf(355,axiom,
    ! [A: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
     => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_finite__Collect__subsets) ).

thf(356,axiom,
    ! [A: $i] :
      ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
     => ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_finite__Collect__subsets) ).

thf(357,axiom,
    ! [A: $i] :
      ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
     => ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_finite__Collect__subsets) ).

thf(358,axiom,
    ! [A: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
     => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_finite__Collect__subsets) ).

thf(359,axiom,
    ! [A: $i] :
      ( ( 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 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_finite__Collect__subsets) ).

thf(360,axiom,
    ! [Pn_1: $i,G: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ G ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ Pn_1 ) ) ) @ bot_bo620288102e_bool ) ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ bot_bo620288102e_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_MGT__BodyN) ).

thf(361,axiom,
    ! [G: $i,T: $i,Ts: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
        & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_derivs__insertD) ).

thf(362,axiom,
    ! [Ts: $i,G: $i,T: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_hoare__derivs_Oinsert) ).

thf(363,axiom,
    ! [G: $i,G_1: $i,Ts: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ G_1 ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).

thf(364,axiom,
    ! [G: $i,G_1: $i,Ts: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ G_1 ) @ G ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_thin) ).

thf(365,axiom,
    ! [Ts: $i,G: $i,Ts_1: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts_1 ) )
     => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ Ts_1 ) )
       => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_weaken) ).

thf(366,axiom,
    ! [Ts: $i,G: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ G ) )
     => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_asm) ).

thf(367,axiom,
    ! [G: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).

thf(416,axiom,
    hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ fa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

thf(417,axiom,
    ( ( hAPP_p799580910on_com @ body @ pn )
    = ( some_com @ y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

thf(418,axiom,
    hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ fa ) @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ ( cOMBB_923936821_pname @ the_com @ body ) ) @ ( dom_pname_com @ body ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

thf(419,axiom,
    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) ) @ fa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

thf(420,axiom,
    hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ fa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

thf(421,axiom,
    hBOOL @ wT_bodies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(422,axiom,
    hBOOL @ hoare_165779456gleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(424,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f971112728l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).

thf(425,axiom,
    ! [B_1_1: $i] : ( is_fun_pname_bool @ ( dom_pname_com @ B_1_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) ).

thf(428,conjecture,
    hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

thf(429,negated_conjecture,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[428]) ).

thf(430,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[429]) ).

thf(431,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(432,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(433,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(434,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ P @ Q ) @ R )
          = ( hAPP_b589554111l_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(435,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ P @ Q ) @ R )
          = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ P @ R ) @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(436,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ P @ Q ) @ R )
          = ( hAPP_bool_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(437,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(438,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ P @ Q ) @ R )
          = ( hAPP_c1126217667_state @ P @ ( hAPP_pname_com @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(439,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(440,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(441,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(442,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(443,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(444,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( is_fun_pname_bool @ X )
            & ( is_fun_pname_bool @ Y ) )
         => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) )
            | ( X = Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(445,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(446,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( is_pname @ X )
            & ( is_pname @ Y ) )
         => ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) )
            | ( X = Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(447,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
          | ~ ( hBOOL @ P )
          | ( hBOOL @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(448,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ Q )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(449,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(450,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(451,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
          | ( hBOOL @ P )
          | ( hBOOL @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(452,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ Q )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(453,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ~ ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(454,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ( hBOOL @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(455,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ( hBOOL @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(456,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ~ ( hBOOL @ P )
          | ~ ( hBOOL @ Q )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(457,plain,
    ( ( ! [P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(458,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(459,plain,
    ( ( ! [Pname_1: $i,Pname: $i] :
          ( ( ( is_pname @ Pname_1 )
            & ( is_pname @ Pname ) )
         => ( ( ( hAPP_pname_com @ body_1 @ Pname_1 )
              = ( hAPP_pname_com @ body_1 @ Pname ) )
          <=> ( Pname_1 = Pname ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(460,plain,
    ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( dom_pname_com @ body ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(461,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
           => ? [C: $i] :
                ( ( is_fun_pname_bool @ C )
                & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C ) @ A ) )
                & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ C ) )
                & ( B
                  = ( image_2003357581_state @ F @ C ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(462,plain,
    ( ( ! [B: $i,A: $i] :
          ( ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
             => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ B ) ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(463,plain,
    ( ( ! [B: $i,A: $i] :
          ( ! [X_1: $i] :
              ( ( is_pname @ X_1 )
             => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
               => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ B ) ) ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(464,plain,
    ( ( ! [P: $i] :
          ( ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ P ) ) )
         => ~ ! [Y_1: $i] :
                ( ( hAPP_p799580910on_com @ body @ P )
               != ( some_com @ Y_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(465,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ Fa ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ bot_bo535777328l_bool ) )
             => ( ! [A_1: $i,F_1: $i] :
                    ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_1 ) @ A ) )
                     => ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_1 ) @ F_1 ) )
                       => ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ F_1 ) )
                         => ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( insert1556680138e_bool @ A_1 @ F_1 ) ) ) ) ) ) )
               => ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ Fa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(466,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ Fa ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ bot_bo1649642514l_bool ) )
             => ( ! [A_1: $i,F_1: $i] :
                    ( ( ( is_fun_pname_bool @ A_1 )
                      & ( is_fun1661590463l_bool @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ F_1 ) )
                     => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_1 ) @ A ) )
                       => ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_1 ) @ F_1 ) )
                         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ F_1 ) )
                           => ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( insert1325755072e_bool @ A_1 @ F_1 ) ) ) ) ) ) ) )
               => ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ Fa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(467,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Fa ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ bot_bo620288102e_bool ) )
             => ( ! [A_1: $i,F_1: $i] :
                    ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_1 ) @ A ) )
                     => ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_1 ) @ F_1 ) )
                       => ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ F_1 ) )
                         => ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( insert1415133716_state @ A_1 @ F_1 ) ) ) ) ) ) )
               => ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ Fa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(468,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ Fa ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ bot_bo844097828e_bool ) )
             => ( ! [A_1: $i,F_1: $i] :
                    ( ( ( is_pname @ A_1 )
                      & ( is_fun_pname_bool @ F_1 ) )
                   => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ F_1 ) )
                     => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_1 ) @ A ) )
                       => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_1 ) @ F_1 ) )
                         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ F_1 ) )
                           => ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( insert_pname @ A_1 @ F_1 ) ) ) ) ) ) ) )
               => ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ Fa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(469,plain,
    ( ( ! [B_1: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) )
         => ~ ! [X_1: $i] :
                ( ( is_pname @ X_1 )
               => ( ( B_1
                    = ( hAPP_p1422361149_state @ F @ X_1 ) )
                 => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(470,plain,
    ( ( ! [Pn: $i,B_2: $i] :
          ( ( hBOOL @ wT_bodies )
         => ( ( ( hAPP_p799580910on_com @ body @ Pn )
              = ( some_com @ B_2 ) )
           => ( hBOOL @ ( wt @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(471,plain,
    ( ( ! [C_1: $i,G: $i] :
          ( ( hBOOL @ hoare_165779456gleton )
         => ( ! [X_1: $i] :
                ( ( is_pname @ X_1 )
               => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ ( dom_pname_com @ body ) ) )
                 => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ X_1 ) ) @ bot_bo620288102e_bool ) ) ) ) )
           => ( ( hBOOL @ ( wt @ C_1 ) )
             => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(472,plain,
    ( ( ! [A_2: $i] :
          ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(473,plain,
    ( ( ! [A_2: $i] :
          ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(474,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
           => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
              = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
           => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
              = bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(475,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
           => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
              = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
           => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
              = bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(476,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
           => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
              = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
           => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
              = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(477,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
           => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
              = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
           => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
              = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(478,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
           => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
              = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
           => ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
              = bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(479,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
           => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
              = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
           => ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
              = bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(480,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
           => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
              = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
           => ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
              = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(481,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
           => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
              = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          & ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
           => ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
              = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(482,plain,
    ( ( ! [M: $i,A_2: $i,B_1: $i] :
          ( ( ( hAPP_p799580910on_com @ M @ A_2 )
            = ( some_com @ B_1 ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( dom_pname_com @ M ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(483,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
        <=> ? [AA: $i] :
              ( ( is_fun_pname_bool @ AA )
              & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ AA ) @ A ) )
              & ( B
                = ( image_2003357581_state @ F @ AA ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(484,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ F @ A ) ) @ ( image_2003357581_state @ F @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(485,plain,
    ( ( ! [F: $i,A_2: $i,B: $i] :
          ( ( image_2003357581_state @ F @ ( insert_pname @ A_2 @ B ) )
          = ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ A_2 ) @ ( image_2003357581_state @ F @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(486,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ X_2 ) @ ( image_2003357581_state @ F @ A ) )
            = ( image_2003357581_state @ F @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(487,plain,
    ( ( ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( insert1415133716_state @ A_2 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(488,plain,
    ( ( ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( insert_pname @ A_2 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(489,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
        <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(490,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
        <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(491,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) )
          <=> ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(492,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) )
          <=> ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(493,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(494,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(495,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(496,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(497,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ C_2 ) @ D ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ A_2 @ C_2 ) ) @ ( insert1415133716_state @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(498,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C_2 ) @ D ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ A_2 @ C_2 ) ) @ ( insert_pname @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(499,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(500,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119]) ).

thf(501,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(502,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(503,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(504,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( 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 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(505,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(506,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( 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 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(507,plain,
    ( ( ! [F: $i,A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( bot_bo620288102e_bool
              = ( image_2003357581_state @ F @ A ) )
          <=> ( A = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(508,plain,
    ( ( ! [F: $i] :
          ( ( image_2003357581_state @ F @ bot_bo844097828e_bool )
          = bot_bo620288102e_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(509,plain,
    ( ( ! [F: $i,A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( ( image_2003357581_state @ F @ A )
              = bot_bo620288102e_bool )
          <=> ( A = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(510,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) )
        <=> ( A = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(511,plain,
    ( ( ! [A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) )
          <=> ( A = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(512,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) )
        <=> ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(513,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) )
        <=> ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(514,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) )
        <=> ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(515,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) )
        <=> ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(516,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( bot_bo620288102e_bool
         != ( insert1415133716_state @ A_2 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(517,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( insert1415133716_state @ A_2 @ A )
         != bot_bo620288102e_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(518,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
        <=> ( B_1 = A_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(519,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( ( is_pname @ B_1 )
            & ( is_pname @ A_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          <=> ( B_1 = A_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(520,plain,
    ( ( ! [A_2: $i,B_1: $i,C_1: $i,D_1: $i] :
          ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
            = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
        <=> ( ( ( A_2 = C_1 )
              & ( B_1 = D_1 ) )
            | ( ( A_2 = D_1 )
              & ( B_1 = C_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(521,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
         => ( B_1 = A_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(522,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( ( is_pname @ B_1 )
            & ( is_pname @ A_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
           => ( B_1 = A_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(523,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool )
            = ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
         => ( A_2 = B_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(524,plain,
    ( ( ! [X_1: $i,Xa: $i] :
          ( ( insert1415133716_state @ X_1 @ Xa )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ X_1 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ Xa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(525,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
        <=> ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(526,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
        <=> ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(527,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
        <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(528,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
        <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(529,plain,
    ( ( ! [Z: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) )
        <=> ? [X_1: $i] :
              ( ( is_pname @ X_1 )
              & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
              & ( Z
                = ( hAPP_p1422361149_state @ F @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(530,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ F @ X_2 ) ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(531,plain,
    ( ( ! [B_1: $i,F: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( B_1
              = ( hAPP_p1422361149_state @ F @ X_2 ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(532,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(533,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(534,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
        <=> ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(535,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( is_fun_pname_bool @ A )
            & ( is_fun_pname_bool @ B ) )
         => ( ( A = B )
          <=> ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
              & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(536,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(537,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(538,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(539,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(540,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(541,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(542,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(543,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(544,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(545,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(546,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ C_2 ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ C_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(547,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ C_2 ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ C_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(548,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ~ ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
             => ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(549,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ~ ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
             => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(550,plain,
    ( ( ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ A_2 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(551,plain,
    ( ( ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ A_2 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(552,plain,
    ( ( ! [A_2: $i,B: $i] :
          ( ( insert1415133716_state @ A_2 @ B )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(553,plain,
    ( ( ! [A_2: $i,P_1: $i] :
          ( ( insert1415133716_state @ A_2 @ ( collec307967673_state @ P_1 ) )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fimplies @ ( cOMBB_2144135922_state @ fNot @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) ) @ P_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(554,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ X_2 @ A ) )
          = ( insert1415133716_state @ X_2 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(555,plain,
    ( ( ! [X_2: $i,Y_2: $i,A: $i] :
          ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ Y_2 @ A ) )
          = ( insert1415133716_state @ Y_2 @ ( insert1415133716_state @ X_2 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(556,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
        <=> ( ( A_2 = B_1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(557,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( ( is_pname @ A_2 )
            & ( is_pname @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
          <=> ( ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(558,plain,
    ( ( ! [Y_2: $i,A: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) )
        <=> ( ( Y_2 = X_2 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(559,plain,
    ( ( ! [Y_2: $i,A: $i,X_2: $i] :
          ( ( ( is_pname @ Y_2 )
            & ( is_pname @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) )
          <=> ( ( Y_2 = X_2 )
              | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(560,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
           => ( ( ( insert1415133716_state @ X_2 @ A )
                = ( insert1415133716_state @ X_2 @ B ) )
            <=> ( A = B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(561,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ( ( is_fun_pname_bool @ B )
            & ( is_fun_pname_bool @ A ) )
         => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
             => ( ( ( insert_pname @ X_2 @ A )
                  = ( insert_pname @ X_2 @ B ) )
              <=> ( A = B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(562,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(563,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(564,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
         => ( ( insert1415133716_state @ A_2 @ A )
            = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(565,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
           => ( ( insert_pname @ A_2 @ A )
              = A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(566,plain,
    ( ( bot_bo620288102e_bool
      = ( collec307967673_state @ ( cOMBK_659609255_state @ fFalse ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(567,plain,
    ( ( ! [A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ! [X_1: $i] :
                ( ( is_pname @ X_1 )
               => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) )
          <=> ( A = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(568,plain,
    ( ( ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
        <=> ( A = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(569,plain,
    ( ( ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
        <=> ( A = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(570,plain,
    ( ( ! [A: $i] :
          ( ( is_fun1661590463l_bool @ A )
         => ( ! [X_1: $i] :
                ( ( is_fun_pname_bool @ X_1 )
               => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) )
          <=> ( A = bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(571,plain,
    ( ( ! [A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ? [X_1: $i] :
                ( ( is_pname @ X_1 )
                & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) )
          <=> ( A != bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(572,plain,
    ( ( ! [A: $i] :
          ( ? [X_1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
        <=> ( A != bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(573,plain,
    ( ( ! [A: $i] :
          ( ? [X_1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
        <=> ( A != bot_bo535777328l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(574,plain,
    ( ( ! [A: $i] :
          ( ( is_fun1661590463l_bool @ A )
         => ( ? [X_1: $i] :
                ( ( is_fun_pname_bool @ X_1 )
                & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) )
          <=> ( A != bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(575,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo844097828e_bool
            = ( collect_pname @ P_1 ) )
        <=> ! [X_1: $i] :
              ( ( is_pname @ X_1 )
             => ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(576,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo620288102e_bool
            = ( collec307967673_state @ P_1 ) )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(577,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo1649642514l_bool
            = ( collec1974731493e_bool @ P_1 ) )
        <=> ! [X_1: $i] :
              ( ( is_fun_pname_bool @ X_1 )
             => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(578,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo535777328l_bool
            = ( collec1823980261e_bool @ P_1 ) )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(579,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo1761158942l_bool
            = ( collec488126193l_bool @ P_1 ) )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(580,plain,
    ( ( ! [P_1: $i] :
          ( ( bot_bo1537088220l_bool
            = ( collec1613912337l_bool @ P_1 ) )
        <=> ! [X_1: $i] :
              ( ( is_fun1661590463l_bool @ X_1 )
             => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(581,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ bot_bo844097828e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(582,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(583,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ bot_bo535777328l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(584,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(585,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collect_pname @ P_1 )
            = bot_bo844097828e_bool )
        <=> ! [X_1: $i] :
              ( ( is_pname @ X_1 )
             => ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(586,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collec307967673_state @ P_1 )
            = bot_bo620288102e_bool )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(587,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collec1974731493e_bool @ P_1 )
            = bot_bo1649642514l_bool )
        <=> ! [X_1: $i] :
              ( ( is_fun_pname_bool @ X_1 )
             => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(588,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collec1823980261e_bool @ P_1 )
            = bot_bo535777328l_bool )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(589,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collec488126193l_bool @ P_1 )
            = bot_bo1761158942l_bool )
        <=> ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(590,plain,
    ( ( ! [P_1: $i] :
          ( ( ( collec1613912337l_bool @ P_1 )
            = bot_bo1537088220l_bool )
        <=> ! [X_1: $i] :
              ( ( is_fun1661590463l_bool @ X_1 )
             => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(591,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A = bot_bo844097828e_bool )
         => ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(592,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
         => ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(593,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A = bot_bo535777328l_bool )
         => ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(594,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A = bot_bo1649642514l_bool )
         => ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(595,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_p1422361149_state @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(596,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_f560369737_pname @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_187965177_pname @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(597,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_f1297739591_pname @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_1283814551_pname @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(598,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_pname_pname @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_pname_pname @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(599,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_H1621176307_pname @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_54689091_pname @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(600,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_f1387463497_state @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_18964633_state @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(601,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_f888949707_state @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_516545147_state @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(602,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_p442853985e_bool @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_70449425e_bool @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(603,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_p61793385e_bool @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_47868345e_bool @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(604,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_H1049623551e_bool @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_1828608335e_bool @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(605,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
            = ( hAPP_H356885323e_bool @ F @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_2131964411e_bool @ F @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(606,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(607,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ A ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(608,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ A ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(609,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ A ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(610,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( is_fun_pname_bool @ A )
            & ( is_fun_pname_bool @ B ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
           => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
             => ( A = B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(611,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ A ) )
           => ( A = B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(612,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( is_fun1661590463l_bool @ A )
            & ( is_fun1661590463l_bool @ B ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
           => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ A ) )
             => ( A = B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(613,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
           => ( A = B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(614,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( ( is_pname @ A_2 )
            & ( is_pname @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
           => ( ( A_2 != B_1 )
             => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(615,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ A ) ) )
         => ( ( A_2 != B_1 )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(616,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( ( is_fun_pname_bool @ A_2 )
            & ( is_fun_pname_bool @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ A ) ) )
           => ( ( A_2 != B_1 )
             => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(617,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
         => ( ( A_2 != B_1 )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(618,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
           => ( A_2 = B_1 ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(619,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ B ) )
           => ( A_2 = B_1 ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[257]) ).

thf(620,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ B ) )
           => ( A_2 = B_1 ) )
         => ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(621,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
           => ( A_2 = B_1 ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(622,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ bot_bo844097828e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(623,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ bot_bo535777328l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(624,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(625,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[263]) ).

thf(626,plain,
    ( ( ! [C_1: $i] :
          ( ( hBOOL @ hoare_165779456gleton )
         => ( ( hBOOL @ wT_bodies )
           => ( ( hBOOL @ ( wt @ C_1 ) )
             => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[264]) ).

thf(627,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) )
           => ( ( A = bot_bo844097828e_bool )
              | ( A
                = ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(628,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) )
         => ( ( A = bot_bo535777328l_bool )
            | ( A
              = ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[266]) ).

thf(629,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ( is_fun1661590463l_bool @ A )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) )
           => ( ( A = bot_bo1649642514l_bool )
              | ( A
                = ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[267]) ).

thf(630,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) )
         => ( ( A = bot_bo620288102e_bool )
            | ( A
              = ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[268]) ).

thf(631,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_2131964411e_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[269]) ).

thf(632,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_1828608335e_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(633,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_54689091_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(634,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_1761575943l_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(635,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1210605179l_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(636,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_47868345e_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(637,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_70449425e_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(638,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_pname_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(639,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_288317893l_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(640,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1642285373l_bool @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(641,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_516545147_state @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(642,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_18964633_state @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(643,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_892968839_state @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(644,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_677922117_state @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(645,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1283814551_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(646,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_187965177_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(647,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1619336331_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(648,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
         => ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1705983821_pname @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(649,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(650,plain,
    ( ( ! [F: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_p799580910on_com @ F @ X_2 )
            = ( some_com @ Y_2 ) )
         => ( ( insert_pname @ X_2 @ ( dom_pname_com @ F ) )
            = ( dom_pname_com @ F ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(651,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
         => ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(652,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
         => ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(653,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
         => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(654,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
         => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(655,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( image_pname_pname @ ( cOMBK_pname_pname @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[295]) ).

thf(656,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(657,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[297]) ).

thf(658,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[298]) ).

thf(659,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(660,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
         => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(661,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
         => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(662,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( ( A = bot_bo535777328l_bool )
           => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
              = bot_bo620288102e_bool ) )
          & ( ( A != bot_bo535777328l_bool )
           => ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
              = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[304]) ).

thf(663,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( is_fun1661590463l_bool @ A )
         => ( ( ( A = bot_bo1649642514l_bool )
             => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
                = bot_bo620288102e_bool ) )
            & ( ( A != bot_bo1649642514l_bool )
             => ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
                = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[305]) ).

thf(664,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( ( A = bot_bo620288102e_bool )
           => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
              = bot_bo535777328l_bool ) )
          & ( ( A != bot_bo620288102e_bool )
           => ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
              = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[309]) ).

thf(665,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( ( A = bot_bo620288102e_bool )
           => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
              = bot_bo1649642514l_bool ) )
          & ( ( A != bot_bo620288102e_bool )
           => ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
              = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[310]) ).

thf(666,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( ( A = bot_bo620288102e_bool )
           => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
              = bot_bo844097828e_bool ) )
          & ( ( A != bot_bo620288102e_bool )
           => ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
              = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[311]) ).

thf(667,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( is_fun_pname_bool @ A )
         => ( ( ( A = bot_bo844097828e_bool )
             => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
                = bot_bo620288102e_bool ) )
            & ( ( A != bot_bo844097828e_bool )
             => ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
                = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(668,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
            | ( 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 @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(669,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(670,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ P_1 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ Q_1 ) ) ) )
         => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(671,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ P_1 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ Q_1 ) ) ) )
         => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[316]) ).

thf(672,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[317]) ).

thf(673,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
            | ( 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 @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[318]) ).

thf(674,plain,
    ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ bot_bo1649642514l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(675,plain,
    ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ bot_bo535777328l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[320]) ).

thf(676,plain,
    ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ bot_bo1761158942l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[321]) ).

thf(677,plain,
    ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ bot_bo1537088220l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[322]) ).

thf(678,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ bot_bo620288102e_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[323]) ).

thf(679,plain,
    ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ bot_bo844097828e_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[324]) ).

thf(680,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
         => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[325]) ).

thf(681,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[326]) ).

thf(682,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
         => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[327]) ).

thf(683,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
         => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[328]) ).

thf(684,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[329]) ).

thf(685,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[330]) ).

thf(686,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ bot_bo844097828e_bool ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[331]) ).

thf(687,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ bot_bo535777328l_bool ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[332]) ).

thf(688,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ bot_bo1649642514l_bool ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[333]) ).

thf(689,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ bot_bo620288102e_bool ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[334]) ).

thf(690,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[335]) ).

thf(691,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[336]) ).

thf(692,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[337]) ).

thf(693,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[338]) ).

thf(694,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[339]) ).

thf(695,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
         => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[340]) ).

thf(696,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[341]) ).

thf(697,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[342]) ).

thf(698,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(699,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[344]) ).

thf(700,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[345]) ).

thf(701,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(702,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[347]) ).

thf(703,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[348]) ).

thf(704,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[349]) ).

thf(705,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[350]) ).

thf(706,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[351]) ).

thf(707,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
         => ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[352]) ).

thf(708,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[353]) ).

thf(709,plain,
    ( ( ! [A: $i] :
          ( ( 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 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(710,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
         => ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(711,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
         => ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(712,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
         => ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(713,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
         => ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[358]) ).

thf(714,plain,
    ( ( ! [A: $i] :
          ( ( 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 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(715,plain,
    ( ( ! [Pn_1: $i,G: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ G ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ Pn_1 ) ) ) @ bot_bo620288102e_bool ) ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(716,plain,
    ( ( ! [G: $i,T: $i,Ts: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[361]) ).

thf(717,plain,
    ( ( ! [Ts: $i,G: $i,T: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[362]) ).

thf(718,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ G_1 ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[363]) ).

thf(719,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ G_1 ) @ G ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[364]) ).

thf(720,plain,
    ( ( ! [Ts: $i,G: $i,Ts_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts_1 ) )
         => ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ Ts_1 ) )
           => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[365]) ).

thf(721,plain,
    ( ( ! [Ts: $i,G: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ G ) )
         => ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[366]) ).

thf(722,plain,
    ( ( ! [G: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[367]) ).

thf(723,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ fa ) )
    = $true ),
    inference(unfold_def,[status(thm)],[416]) ).

thf(724,plain,
    ( ( ( hAPP_p799580910on_com @ body @ pn )
      = ( some_com @ y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[417]) ).

thf(725,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ fa ) @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ ( cOMBB_923936821_pname @ the_com @ body ) ) @ ( dom_pname_com @ body ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[418]) ).

thf(726,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) ) @ fa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[419]) ).

thf(727,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ fa ) )
    = $true ),
    inference(unfold_def,[status(thm)],[420]) ).

thf(728,plain,
    ( ( hBOOL @ wT_bodies )
    = $true ),
    inference(unfold_def,[status(thm)],[421]) ).

thf(729,plain,
    ( ( hBOOL @ hoare_165779456gleton )
    = $true ),
    inference(unfold_def,[status(thm)],[422]) ).

thf(730,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f971112728l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[424]) ).

thf(731,plain,
    ( ( ! [B_1_1: $i] : ( is_fun_pname_bool @ ( dom_pname_com @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[425]) ).

thf(732,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[430]) ).

thf(733,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ! [Q: $i] :
              ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ P ) @ Q )
              = P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[437]) ).

thf(734,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[439]) ).

thf(735,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[441]) ).

thf(736,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[443]) ).

thf(737,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( is_fun_pname_bool @ X )
          | ~ ( is_fun_pname_bool @ Y )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[444]) ).

thf(738,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[445]) ).

thf(739,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( is_pname @ X )
          | ~ ( is_pname @ Y )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[446]) ).

thf(740,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hBOOL @ Q )
          | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[447]) ).

thf(741,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hBOOL @ Q )
          | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
          | ( hBOOL @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[451]) ).

thf(742,plain,
    ( ( ! [P: $i] :
          ( ! [Q: $i] :
              ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ( hBOOL @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[455]) ).

thf(743,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ~ ( hBOOL @ P )
          | ~ ( hBOOL @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[456]) ).

thf(744,plain,
    ( ( ! [Pname_1: $i,Pname: $i] :
          ( ~ ( is_pname @ Pname_1 )
          | ~ ( is_pname @ Pname )
          | ( ( hAPP_pname_com @ body_1 @ Pname_1 )
           != ( hAPP_pname_com @ body_1 @ Pname ) )
          | ( Pname_1 = Pname ) )
      & ! [Pname_1: $i,Pname: $i] :
          ( ~ ( is_pname @ Pname_1 )
          | ~ ( is_pname @ Pname )
          | ( Pname_1 != Pname )
          | ( ( hAPP_pname_com @ body_1 @ Pname_1 )
            = ( hAPP_pname_com @ body_1 @ Pname ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[459]) ).

thf(745,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ B @ A @ F ) ) @ A ) )
            & ( is_fun_pname_bool @ ( sK1_C @ B @ A @ F ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ B @ A @ F ) ) )
            & ( B
              = ( image_2003357581_state @ F @ ( sK1_C @ B @ A @ F ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[461]) ).

thf(746,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ A @ B ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ A @ B ) ) @ B ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[462]) ).

thf(747,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ( is_pname @ ( sK3_X_1 @ A @ B ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ A @ B ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ A @ B ) ) @ B ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[463]) ).

thf(748,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ P ) ) )
          | ( ( hAPP_p799580910on_com @ body @ P )
            = ( some_com @ ( sK4_Y_1 @ P ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[464]) ).

thf(749,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ bot_bo535777328l_bool ) )
          | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) ) @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( insert1556680138e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[465]) ).

thf(750,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ bot_bo1649642514l_bool ) )
          | ( ( is_fun1661590463l_bool @ ( sK8_SY2602 @ Fa @ A @ P_1 ) )
            & ( is_fun_pname_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) ) @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( insert1325755072e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[466]) ).

thf(751,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ bot_bo620288102e_bool ) )
          | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) ) @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( insert1415133716_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[467]) ).

thf(752,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ bot_bo844097828e_bool ) )
          | ( ( is_fun_pname_bool @ ( sK12_SY2604 @ Fa @ A @ P_1 ) )
            & ( is_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) ) @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( insert_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[468]) ).

thf(753,plain,
    ( ( ! [B_1: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( ( is_pname @ ( sK13_X_1 @ A @ F @ B_1 ) )
            & ( B_1
              = ( hAPP_p1422361149_state @ F @ ( sK13_X_1 @ A @ F @ B_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ A @ F @ B_1 ) ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[469]) ).

thf(754,plain,
    ( ( ~ ( hBOOL @ wT_bodies )
      | ! [Pn: $i,B_2: $i] :
          ( ( ( hAPP_p799580910on_com @ body @ Pn )
           != ( some_com @ B_2 ) )
          | ( hBOOL @ ( wt @ B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[470]) ).

thf(755,plain,
    ( ( ~ ( hBOOL @ hoare_165779456gleton )
      | ! [C_1: $i,G: $i] :
          ( ( ( is_pname @ ( sK14_X_1 @ G @ C_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ G @ C_1 ) ) @ ( dom_pname_com @ body ) ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ G @ C_1 ) ) ) @ bot_bo620288102e_bool ) ) ) )
          | ~ ( hBOOL @ ( wt @ C_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[471]) ).

thf(756,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
            = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[474]) ).

thf(757,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
            = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[475]) ).

thf(758,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
            = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[476]) ).

thf(759,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
            = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[477]) ).

thf(760,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
            = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[478]) ).

thf(761,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
            = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[479]) ).

thf(762,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
            = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[480]) ).

thf(763,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
            = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[481]) ).

thf(764,plain,
    ( ( ! [M: $i,A_2: $i] :
          ( ! [B_1: $i] :
              ( ( hAPP_p799580910on_com @ M @ A_2 )
             != ( some_com @ B_1 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( dom_pname_com @ M ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[482]) ).

thf(765,plain,
    ( ( ! [B: $i] :
          ( ! [F: $i,A: $i] :
              ( ! [AA: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ AA ) @ A ) )
                  | ~ ( is_fun_pname_bool @ AA )
                  | ( B
                   != ( image_2003357581_state @ F @ AA ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) ) )
          & ! [F: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
              | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ A @ F @ B ) ) @ A ) )
                & ( is_fun_pname_bool @ ( sK15_AA @ A @ F @ B ) )
                & ( B
                  = ( image_2003357581_state @ F @ ( sK15_AA @ A @ F @ B ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[483]) ).

thf(766,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ F @ A ) ) @ ( image_2003357581_state @ F @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[484]) ).

thf(767,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ X_2 ) @ ( image_2003357581_state @ F @ A ) )
            = ( image_2003357581_state @ F @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[486]) ).

thf(768,plain,
    ( ( ! [X_2: $i] :
          ( ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[489]) ).

thf(769,plain,
    ( ( ! [X_2: $i] :
          ( ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[490]) ).

thf(770,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[491]) ).

thf(771,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[492]) ).

thf(772,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[493]) ).

thf(773,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[494]) ).

thf(774,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) )
      & ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[495]) ).

thf(775,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) )
      & ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[496]) ).

thf(776,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ C_2 ) @ D ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ A_2 @ C_2 ) ) @ ( insert1415133716_state @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[497]) ).

thf(777,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C_2 ) @ D ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ A_2 @ C_2 ) ) @ ( insert_pname @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[498]) ).

thf(778,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[499]) ).

thf(779,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[500]) ).

thf(780,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[501]) ).

thf(781,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[502]) ).

thf(782,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[503]) ).

thf(783,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( 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 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[504]) ).

thf(784,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[505]) ).

thf(785,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( 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 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[506]) ).

thf(786,plain,
    ( ( ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( bot_bo620288102e_bool
           != ( image_2003357581_state @ F @ A ) )
          | ( A = bot_bo844097828e_bool ) )
      & ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( bot_bo620288102e_bool
            = ( image_2003357581_state @ F @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[507]) ).

thf(787,plain,
    ( ( ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( ( image_2003357581_state @ F @ A )
           != bot_bo620288102e_bool )
          | ( A = bot_bo844097828e_bool ) )
      & ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ F @ A )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[509]) ).

thf(788,plain,
    ( ( ! [A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) ) )
      & ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) )
          | ( A = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[510]) ).

thf(789,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) )
          | ( A = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[511]) ).

thf(790,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[512]) ).

thf(791,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[513]) ).

thf(792,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[514]) ).

thf(793,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[515]) ).

thf(794,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( bot_bo620288102e_bool
         != ( insert1415133716_state @ A_2 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[516]) ).

thf(795,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( insert1415133716_state @ A_2 @ A )
         != bot_bo620288102e_bool ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[517]) ).

thf(796,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( B_1 != A_2 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) ) )
      & ! [B_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[518]) ).

thf(797,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ( B_1 != A_2 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) ) )
      & ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[519]) ).

thf(798,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( A_2 = C_1 )
              | ( A_2 = D_1 ) )
          & ! [C_1: $i] :
              ( ! [D_1: $i] :
                  ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                 != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( A_2 = C_1 )
              | ( B_1 = C_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( B_1 = D_1 )
              | ( A_2 = D_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( B_1 = D_1 )
              | ( B_1 = C_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( A_2 != C_1 )
              | ( B_1 != D_1 )
              | ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( A_2 != D_1 )
              | ( B_1 != C_1 )
              | ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[520]) ).

thf(799,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[521]) ).

thf(800,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[522]) ).

thf(801,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool )
           != ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
          | ( A_2 = B_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[523]) ).

thf(802,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[525]) ).

thf(803,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[526]) ).

thf(804,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[527]) ).

thf(805,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
          | ~ ( 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 @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[528]) ).

thf(806,plain,
    ( ( ! [Z: $i] :
          ( ! [F: $i,A: $i] :
              ( ! [X_1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
                  | ~ ( is_pname @ X_1 )
                  | ( Z
                   != ( hAPP_p1422361149_state @ F @ X_1 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) ) )
          & ! [F: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) )
              | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ A @ F @ Z ) ) @ A ) )
                & ( is_pname @ ( sK16_X_1 @ A @ F @ Z ) )
                & ( Z
                  = ( hAPP_p1422361149_state @ F @ ( sK16_X_1 @ A @ F @ Z ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[529]) ).

thf(807,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ F @ X_2 ) ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[530]) ).

thf(808,plain,
    ( ( ! [B_1: $i,F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( B_1
           != ( hAPP_p1422361149_state @ F @ X_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[531]) ).

thf(809,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
          | ( A = B ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[534]) ).

thf(810,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
          | ( A = B ) )
      & ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[535]) ).

thf(811,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[536]) ).

thf(812,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[537]) ).

thf(813,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[538]) ).

thf(814,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[539]) ).

thf(815,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[540]) ).

thf(816,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[541]) ).

thf(817,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[542]) ).

thf(818,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[543]) ).

thf(819,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[544]) ).

thf(820,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[545]) ).

thf(821,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[546]) ).

thf(822,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[547]) ).

thf(823,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[548]) ).

thf(824,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[549]) ).

thf(825,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) )
          & ! [B_1: $i] :
              ( ( A_2 != B_1 )
              | ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) ) )
          & ! [B_1: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[556]) ).

thf(826,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ! [A: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
                  | ( A_2 = B_1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) )
          & ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ( A_2 != B_1 )
              | ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) ) )
          & ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ! [A: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[557]) ).

thf(827,plain,
    ( ( ! [Y_2: $i] :
          ( ! [A: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) )
              | ( Y_2 = X_2 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ( Y_2 != X_2 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[558]) ).

thf(828,plain,
    ( ( ! [Y_2: $i] :
          ( ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) )
              | ( Y_2 = X_2 )
              | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ( Y_2 != X_2 )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[559]) ).

thf(829,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ( ( insert1415133716_state @ X_2 @ A )
               != ( insert1415133716_state @ X_2 @ B ) )
              | ( A = B ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ( A != B )
              | ( ( insert1415133716_state @ X_2 @ A )
                = ( insert1415133716_state @ X_2 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[560]) ).

thf(830,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ~ ( is_fun_pname_bool @ B )
              | ~ ( is_fun_pname_bool @ A )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ( ( insert_pname @ X_2 @ A )
               != ( insert_pname @ X_2 @ B ) )
              | ( A = B ) )
          & ! [X_2: $i,A: $i] :
              ( ~ ( is_fun_pname_bool @ B )
              | ~ ( is_fun_pname_bool @ A )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ( A != B )
              | ( ( insert_pname @ X_2 @ A )
                = ( insert_pname @ X_2 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[561]) ).

thf(831,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[562]) ).

thf(832,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[563]) ).

thf(833,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
          | ( ( insert1415133716_state @ A_2 @ A )
            = A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[564]) ).

thf(834,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
          | ( ( insert_pname @ A_2 @ A )
            = A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[565]) ).

thf(835,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( ( is_pname @ ( sK17_X_1 @ A ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ A ) ) @ A ) ) )
          | ( A = bot_bo844097828e_bool ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[567]) ).

thf(836,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ A ) ) @ A ) )
          | ( A = bot_bo620288102e_bool ) )
      & ! [A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[568]) ).

thf(837,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ A ) ) @ A ) )
          | ( A = bot_bo535777328l_bool ) )
      & ! [A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[569]) ).

thf(838,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( ( is_fun_pname_bool @ ( sK20_X_1 @ A ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ A ) ) @ A ) ) )
          | ( A = bot_bo1649642514l_bool ) )
      & ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A != bot_bo1649642514l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[570]) ).

thf(839,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A = bot_bo844097828e_bool )
          | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ A ) ) @ A ) )
            & ( is_pname @ ( sK21_X_1 @ A ) ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ! [X_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
              | ~ ( is_pname @ X_1 ) )
          | ( A != bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[571]) ).

thf(840,plain,
    ( ( ! [A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ A ) ) @ A ) ) )
      & ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
          | ( A != bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[572]) ).

thf(841,plain,
    ( ( ! [A: $i] :
          ( ( A = bot_bo535777328l_bool )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ A ) ) @ A ) ) )
      & ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
          | ( A != bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[573]) ).

thf(842,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A = bot_bo1649642514l_bool )
          | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ A ) ) @ A ) )
            & ( is_fun_pname_bool @ ( sK24_X_1 @ A ) ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ! [X_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) )
              | ~ ( is_fun_pname_bool @ X_1 ) )
          | ( A != bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[574]) ).

thf(843,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_pname @ ( sK25_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_pname_bool @ P_1 @ ( sK25_X_1 @ P_1 ) ) ) )
          | ( bot_bo844097828e_bool
            = ( collect_pname @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo844097828e_bool
           != ( collect_pname @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[575]) ).

thf(844,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ ( sK26_X_1 @ P_1 ) ) )
          | ( bot_bo620288102e_bool
            = ( collec307967673_state @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo620288102e_bool
           != ( collec307967673_state @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[576]) ).

thf(845,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun_pname_bool @ ( sK27_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK27_X_1 @ P_1 ) ) ) )
          | ( bot_bo1649642514l_bool
            = ( collec1974731493e_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1649642514l_bool
           != ( collec1974731493e_bool @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[577]) ).

thf(846,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK28_X_1 @ P_1 ) ) )
          | ( bot_bo535777328l_bool
            = ( collec1823980261e_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo535777328l_bool
           != ( collec1823980261e_bool @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[578]) ).

thf(847,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK29_X_1 @ P_1 ) ) )
          | ( bot_bo1761158942l_bool
            = ( collec488126193l_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1761158942l_bool
           != ( collec488126193l_bool @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[579]) ).

thf(848,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun1661590463l_bool @ ( sK30_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK30_X_1 @ P_1 ) ) ) )
          | ( bot_bo1537088220l_bool
            = ( collec1613912337l_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1537088220l_bool
           != ( collec1613912337l_bool @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_fun1661590463l_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[580]) ).

thf(849,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_pname @ ( sK31_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_pname_bool @ P_1 @ ( sK31_X_1 @ P_1 ) ) ) )
          | ( ( collect_pname @ P_1 )
            = bot_bo844097828e_bool ) )
      & ! [P_1: $i] :
          ( ( ( collect_pname @ P_1 )
           != bot_bo844097828e_bool )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[585]) ).

thf(850,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ ( sK32_X_1 @ P_1 ) ) )
          | ( ( collec307967673_state @ P_1 )
            = bot_bo620288102e_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec307967673_state @ P_1 )
           != bot_bo620288102e_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[586]) ).

thf(851,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun_pname_bool @ ( sK33_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK33_X_1 @ P_1 ) ) ) )
          | ( ( collec1974731493e_bool @ P_1 )
            = bot_bo1649642514l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1974731493e_bool @ P_1 )
           != bot_bo1649642514l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[587]) ).

thf(852,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK34_X_1 @ P_1 ) ) )
          | ( ( collec1823980261e_bool @ P_1 )
            = bot_bo535777328l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1823980261e_bool @ P_1 )
           != bot_bo535777328l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[588]) ).

thf(853,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK35_X_1 @ P_1 ) ) )
          | ( ( collec488126193l_bool @ P_1 )
            = bot_bo1761158942l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec488126193l_bool @ P_1 )
           != bot_bo1761158942l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[589]) ).

thf(854,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun1661590463l_bool @ ( sK36_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK36_X_1 @ P_1 ) ) ) )
          | ( ( collec1613912337l_bool @ P_1 )
            = bot_bo1537088220l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1613912337l_bool @ P_1 )
           != bot_bo1537088220l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun1661590463l_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[590]) ).

thf(855,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo844097828e_bool )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[591]) ).

thf(856,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[592]) ).

thf(857,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[593]) ).

thf(858,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo1649642514l_bool )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[594]) ).

thf(859,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p1422361149_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[595]) ).

thf(860,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f560369737_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_187965177_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[596]) ).

thf(861,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f1297739591_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_1283814551_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[597]) ).

thf(862,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_pname_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_pname_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[598]) ).

thf(863,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H1621176307_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_54689091_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[599]) ).

thf(864,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f1387463497_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_18964633_state @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[600]) ).

thf(865,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f888949707_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_516545147_state @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[601]) ).

thf(866,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p442853985e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_70449425e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[602]) ).

thf(867,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p61793385e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_47868345e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[603]) ).

thf(868,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H1049623551e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_1828608335e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[604]) ).

thf(869,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H356885323e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_2131964411e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[605]) ).

thf(870,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[606]) ).

thf(871,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[607]) ).

thf(872,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[608]) ).

thf(873,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[609]) ).

thf(874,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[610]) ).

thf(875,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[611]) ).

thf(876,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ~ ( is_fun1661590463l_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[612]) ).

thf(877,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[613]) ).

thf(878,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( is_pname @ A_2 )
          | ~ ( is_pname @ B_1 )
          | ! [A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[614]) ).

thf(879,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ A ) ) )
          | ( A_2 = B_1 )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[615]) ).

thf(880,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( is_fun_pname_bool @ A_2 )
          | ~ ( is_fun_pname_bool @ B_1 )
          | ! [A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[616]) ).

thf(881,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
          | ( A_2 = B_1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[617]) ).

thf(882,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[618]) ).

thf(883,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[619]) ).

thf(884,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[620]) ).

thf(885,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[621]) ).

thf(886,plain,
    ( ( ~ ( hBOOL @ hoare_165779456gleton )
      | ~ ( hBOOL @ wT_bodies )
      | ! [C_1: $i] :
          ( ~ ( hBOOL @ ( wt @ C_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[626]) ).

thf(887,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ! [X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) )
              | ( A = bot_bo844097828e_bool )
              | ( A
                = ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[627]) ).

thf(888,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) )
          | ( A = bot_bo535777328l_bool )
          | ( A
            = ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[628]) ).

thf(889,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ! [X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) )
              | ( A = bot_bo1649642514l_bool )
              | ( A
                = ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[629]) ).

thf(890,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) )
          | ( A = bot_bo620288102e_bool )
          | ( A
            = ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[630]) ).

thf(891,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_2131964411e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[631]) ).

thf(892,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_1828608335e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[632]) ).

thf(893,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_54689091_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[633]) ).

thf(894,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_1761575943l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[634]) ).

thf(895,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1210605179l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[635]) ).

thf(896,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_47868345e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[636]) ).

thf(897,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_70449425e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[637]) ).

thf(898,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_pname_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[638]) ).

thf(899,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_288317893l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[639]) ).

thf(900,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1642285373l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[640]) ).

thf(901,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_516545147_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[641]) ).

thf(902,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_18964633_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[642]) ).

thf(903,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_892968839_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[643]) ).

thf(904,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_677922117_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[644]) ).

thf(905,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1283814551_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[645]) ).

thf(906,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_187965177_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[646]) ).

thf(907,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1619336331_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[647]) ).

thf(908,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1705983821_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[648]) ).

thf(909,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[649]) ).

thf(910,plain,
    ( ( ! [F: $i,X_2: $i] :
          ( ! [Y_2: $i] :
              ( ( hAPP_p799580910on_com @ F @ X_2 )
             != ( some_com @ Y_2 ) )
          | ( ( insert_pname @ X_2 @ ( dom_pname_com @ F ) )
            = ( dom_pname_com @ F ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[650]) ).

thf(911,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[651]) ).

thf(912,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[652]) ).

thf(913,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[653]) ).

thf(914,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[654]) ).

thf(915,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_pname_pname @ ( cOMBK_pname_pname @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[655]) ).

thf(916,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[656]) ).

thf(917,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[657]) ).

thf(918,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[658]) ).

thf(919,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[659]) ).

thf(920,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[660]) ).

thf(921,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[661]) ).

thf(922,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[662]) ).

thf(923,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A != bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A = bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[663]) ).

thf(924,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = bot_bo535777328l_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[664]) ).

thf(925,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = bot_bo1649642514l_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[665]) ).

thf(926,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = bot_bo844097828e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[666]) ).

thf(927,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A = bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[667]) ).

thf(928,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[668]) ).

thf(929,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[669]) ).

thf(930,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[670]) ).

thf(931,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[671]) ).

thf(932,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[672]) ).

thf(933,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[673]) ).

thf(934,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[680]) ).

thf(935,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[681]) ).

thf(936,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[682]) ).

thf(937,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[683]) ).

thf(938,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[684]) ).

thf(939,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[685]) ).

thf(940,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[690]) ).

thf(941,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[691]) ).

thf(942,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[692]) ).

thf(943,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[693]) ).

thf(944,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[694]) ).

thf(945,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[695]) ).

thf(946,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[696]) ).

thf(947,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[697]) ).

thf(948,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[698]) ).

thf(949,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[699]) ).

thf(950,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[700]) ).

thf(951,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[701]) ).

thf(952,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[702]) ).

thf(953,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[703]) ).

thf(954,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[704]) ).

thf(955,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[705]) ).

thf(956,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[706]) ).

thf(957,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[707]) ).

thf(958,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[708]) ).

thf(959,plain,
    ( ( ! [A: $i] :
          ( ~ ( 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 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[709]) ).

thf(960,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[710]) ).

thf(961,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[711]) ).

thf(962,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[712]) ).

thf(963,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[713]) ).

thf(964,plain,
    ( ( ! [A: $i] :
          ( ~ ( 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 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[714]) ).

thf(965,plain,
    ( ( ! [Pn_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ G ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ Pn_1 ) ) ) @ bot_bo620288102e_bool ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[715]) ).

thf(966,plain,
    ( ( ! [G: $i] :
          ( ! [T: $i] :
              ( ! [Ts: $i] :
                  ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) ) )
          & ! [T: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[716]) ).

thf(967,plain,
    ( ( ! [Ts: $i,G: $i,T: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[717]) ).

thf(968,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ G_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[718]) ).

thf(969,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ G_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[719]) ).

thf(970,plain,
    ( ( ! [Ts: $i,G: $i,Ts_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts_1 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ Ts_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[720]) ).

thf(971,plain,
    ( ( ! [Ts: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ G ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[721]) ).

thf(972,plain,
    ( ( ! [B_1_1: $i] : ( is_fun_pname_bool @ ( dom_pname_com @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[731]) ).

thf(973,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f971112728l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[730]) ).

thf(974,plain,
    ( ( hBOOL @ hoare_165779456gleton )
    = $true ),
    inference(copy,[status(thm)],[729]) ).

thf(975,plain,
    ( ( hBOOL @ wT_bodies )
    = $true ),
    inference(copy,[status(thm)],[728]) ).

thf(976,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ fa ) )
    = $true ),
    inference(copy,[status(thm)],[727]) ).

thf(977,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) ) @ fa ) ) )
    = $true ),
    inference(copy,[status(thm)],[726]) ).

thf(978,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ fa ) @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ ( cOMBB_923936821_pname @ the_com @ body ) ) @ ( dom_pname_com @ body ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[725]) ).

thf(979,plain,
    ( ( ( hAPP_p799580910on_com @ body @ pn )
      = ( some_com @ y ) )
    = $true ),
    inference(copy,[status(thm)],[724]) ).

thf(980,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ fa ) )
    = $true ),
    inference(copy,[status(thm)],[723]) ).

thf(981,plain,
    ( ( ! [G: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[722]) ).

thf(982,plain,
    ( ( ! [Ts: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ G ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[971]) ).

thf(983,plain,
    ( ( ! [Ts: $i,G: $i,Ts_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts_1 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Ts ) @ Ts_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[970]) ).

thf(984,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ G_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[969]) ).

thf(985,plain,
    ( ( ! [G: $i,G_1: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G_1 ) @ Ts ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ G_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[968]) ).

thf(986,plain,
    ( ( ! [Ts: $i,G: $i,T: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[967]) ).

thf(987,plain,
    ( ( ! [G: $i] :
          ( ! [T: $i] :
              ( ! [Ts: $i] :
                  ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ bot_bo620288102e_bool ) ) ) )
          & ! [T: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ T @ Ts ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ Ts ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[966]) ).

thf(988,plain,
    ( ( ! [Pn_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ G ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ Pn_1 ) ) ) @ bot_bo620288102e_bool ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ Pn_1 ) ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[965]) ).

thf(989,plain,
    ( ( ! [A: $i] :
          ( ~ ( 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 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[964]) ).

thf(990,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[963]) ).

thf(991,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[962]) ).

thf(992,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[961]) ).

thf(993,plain,
    ( ( ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[960]) ).

thf(994,plain,
    ( ( ! [A: $i] :
          ( ~ ( 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 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[959]) ).

thf(995,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[958]) ).

thf(996,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[957]) ).

thf(997,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[956]) ).

thf(998,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[955]) ).

thf(999,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[954]) ).

thf(1000,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[953]) ).

thf(1001,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[952]) ).

thf(1002,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[951]) ).

thf(1003,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[950]) ).

thf(1004,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[949]) ).

thf(1005,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[948]) ).

thf(1006,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[947]) ).

thf(1007,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[946]) ).

thf(1008,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[945]) ).

thf(1009,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[944]) ).

thf(1010,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[943]) ).

thf(1011,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[942]) ).

thf(1012,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[941]) ).

thf(1013,plain,
    ( ( ! [H: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ H @ Fa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[940]) ).

thf(1014,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ bot_bo620288102e_bool ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[689]) ).

thf(1015,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ bot_bo1649642514l_bool ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[688]) ).

thf(1016,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ bot_bo535777328l_bool ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[687]) ).

thf(1017,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ bot_bo844097828e_bool ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[686]) ).

thf(1018,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[939]) ).

thf(1019,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[938]) ).

thf(1020,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[937]) ).

thf(1021,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[936]) ).

thf(1022,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[935]) ).

thf(1023,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[934]) ).

thf(1024,plain,
    ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ bot_bo844097828e_bool ) )
    = $true ),
    inference(copy,[status(thm)],[679]) ).

thf(1025,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ bot_bo620288102e_bool ) )
    = $true ),
    inference(copy,[status(thm)],[678]) ).

thf(1026,plain,
    ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ bot_bo1537088220l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[677]) ).

thf(1027,plain,
    ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ bot_bo1761158942l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[676]) ).

thf(1028,plain,
    ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ bot_bo535777328l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[675]) ).

thf(1029,plain,
    ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ bot_bo1649642514l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[674]) ).

thf(1030,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[933]) ).

thf(1031,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[932]) ).

thf(1032,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[931]) ).

thf(1033,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[930]) ).

thf(1034,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[929]) ).

thf(1035,plain,
    ( ( ! [Q_1: $i,P_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) )
          | ! [P_1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ P_1 ) @ Q_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[928]) ).

thf(1036,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A = bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[927]) ).

thf(1037,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = bot_bo844097828e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[926]) ).

thf(1038,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = bot_bo1649642514l_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[925]) ).

thf(1039,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = bot_bo535777328l_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[924]) ).

thf(1040,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A != bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A = bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[923]) ).

thf(1041,plain,
    ( ( ! [C_1: $i,A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = bot_bo620288102e_bool ) )
      & ! [C_1: $i,A: $i] :
          ( ( A = bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[922]) ).

thf(1042,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[921]) ).

thf(1043,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[920]) ).

thf(1044,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[919]) ).

thf(1045,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[918]) ).

thf(1046,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ C_1 ) @ A )
            = ( insert1325755072e_bool @ C_1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[917]) ).

thf(1047,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ C_1 ) @ A )
            = ( insert1556680138e_bool @ C_1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[916]) ).

thf(1048,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( image_pname_pname @ ( cOMBK_pname_pname @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[915]) ).

thf(1049,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[914]) ).

thf(1050,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ C_1 ) @ A )
            = ( insert1415133716_state @ C_1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[913]) ).

thf(1051,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[912]) ).

thf(1052,plain,
    ( ( ! [C_1: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ C_1 ) @ A )
            = ( insert_pname @ C_1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[911]) ).

thf(1053,plain,
    ( ( ! [F: $i,X_2: $i] :
          ( ! [Y_2: $i] :
              ( ( hAPP_p799580910on_com @ F @ X_2 )
             != ( some_com @ Y_2 ) )
          | ( ( insert_pname @ X_2 @ ( dom_pname_com @ F ) )
            = ( dom_pname_com @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[910]) ).

thf(1054,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[909]) ).

thf(1055,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1705983821_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[908]) ).

thf(1056,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1619336331_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[907]) ).

thf(1057,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_187965177_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[906]) ).

thf(1058,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_1283814551_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[905]) ).

thf(1059,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_677922117_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[904]) ).

thf(1060,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_892968839_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[903]) ).

thf(1061,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_18964633_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[902]) ).

thf(1062,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_516545147_state @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[901]) ).

thf(1063,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1642285373l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[900]) ).

thf(1064,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_288317893l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[899]) ).

thf(1065,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_pname_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[898]) ).

thf(1066,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_70449425e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[897]) ).

thf(1067,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_47868345e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[896]) ).

thf(1068,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ B ) @ ( image_1210605179l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[895]) ).

thf(1069,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ B ) @ ( image_1761575943l_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[894]) ).

thf(1070,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( image_54689091_pname @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[893]) ).

thf(1071,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ ( image_1828608335e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[892]) ).

thf(1072,plain,
    ( ( ! [B: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ ( image_2131964411e_bool @ F @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[891]) ).

thf(1073,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) )
          | ( A = bot_bo620288102e_bool )
          | ( A
            = ( insert1415133716_state @ X_2 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[890]) ).

thf(1074,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ! [X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) )
              | ( A = bot_bo1649642514l_bool )
              | ( A
                = ( insert1325755072e_bool @ X_2 @ bot_bo1649642514l_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[889]) ).

thf(1075,plain,
    ( ( ! [A: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) )
          | ( A = bot_bo535777328l_bool )
          | ( A
            = ( insert1556680138e_bool @ X_2 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[888]) ).

thf(1076,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ! [X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) )
              | ( A = bot_bo844097828e_bool )
              | ( A
                = ( insert_pname @ X_2 @ bot_bo844097828e_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[887]) ).

thf(1077,plain,
    ( ( ~ ( hBOOL @ hoare_165779456gleton )
      | ~ ( hBOOL @ wT_bodies )
      | ! [C_1: $i] :
          ( ~ ( hBOOL @ ( wt @ C_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[886]) ).

thf(1078,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[625]) ).

thf(1079,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[624]) ).

thf(1080,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ bot_bo535777328l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[623]) ).

thf(1081,plain,
    ( ( ! [A_2: $i] :
          ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[622]) ).

thf(1082,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[885]) ).

thf(1083,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[884]) ).

thf(1084,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[883]) ).

thf(1085,plain,
    ( ( ! [B_1: $i] :
          ( ! [A_2: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) )
          & ! [A_2: $i] :
              ( ( A_2 != B_1 )
              | ! [B: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[882]) ).

thf(1086,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
          | ( A_2 = B_1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[881]) ).

thf(1087,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( is_fun_pname_bool @ A_2 )
          | ~ ( is_fun_pname_bool @ B_1 )
          | ! [A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ ( insert1325755072e_bool @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[880]) ).

thf(1088,plain,
    ( ( ! [A_2: $i,B_1: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ ( insert1556680138e_bool @ B_1 @ A ) ) )
          | ( A_2 = B_1 )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[879]) ).

thf(1089,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( is_pname @ A_2 )
          | ~ ( is_pname @ B_1 )
          | ! [A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[878]) ).

thf(1090,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[877]) ).

thf(1091,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ~ ( is_fun1661590463l_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[876]) ).

thf(1092,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[875]) ).

thf(1093,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
          | ( A = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[874]) ).

thf(1094,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[873]) ).

thf(1095,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[872]) ).

thf(1096,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[871]) ).

thf(1097,plain,
    ( ( ! [C_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[870]) ).

thf(1098,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H356885323e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_2131964411e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[869]) ).

thf(1099,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H1049623551e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_1828608335e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[868]) ).

thf(1100,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p61793385e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ B_1 ) @ ( image_47868345e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[867]) ).

thf(1101,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p442853985e_bool @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ B_1 ) @ ( image_70449425e_bool @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[866]) ).

thf(1102,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f888949707_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_516545147_state @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[865]) ).

thf(1103,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f1387463497_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_18964633_state @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[864]) ).

thf(1104,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_H1621176307_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_54689091_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[863]) ).

thf(1105,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_pname_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_pname_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[862]) ).

thf(1106,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f1297739591_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_1283814551_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[861]) ).

thf(1107,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_f560369737_pname @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( image_187965177_pname @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[860]) ).

thf(1108,plain,
    ( ( ! [A: $i,B_1: $i,F: $i,X_2: $i] :
          ( ( B_1
           != ( hAPP_p1422361149_state @ F @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[859]) ).

thf(1109,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo1649642514l_bool )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[858]) ).

thf(1110,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[857]) ).

thf(1111,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[856]) ).

thf(1112,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( A != bot_bo844097828e_bool )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[855]) ).

thf(1113,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun1661590463l_bool @ ( sK36_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK36_X_1 @ P_1 ) ) ) )
          | ( ( collec1613912337l_bool @ P_1 )
            = bot_bo1537088220l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1613912337l_bool @ P_1 )
           != bot_bo1537088220l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun1661590463l_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[854]) ).

thf(1114,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK35_X_1 @ P_1 ) ) )
          | ( ( collec488126193l_bool @ P_1 )
            = bot_bo1761158942l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec488126193l_bool @ P_1 )
           != bot_bo1761158942l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[853]) ).

thf(1115,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK34_X_1 @ P_1 ) ) )
          | ( ( collec1823980261e_bool @ P_1 )
            = bot_bo535777328l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1823980261e_bool @ P_1 )
           != bot_bo535777328l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[852]) ).

thf(1116,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun_pname_bool @ ( sK33_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK33_X_1 @ P_1 ) ) ) )
          | ( ( collec1974731493e_bool @ P_1 )
            = bot_bo1649642514l_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec1974731493e_bool @ P_1 )
           != bot_bo1649642514l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[851]) ).

thf(1117,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ ( sK32_X_1 @ P_1 ) ) )
          | ( ( collec307967673_state @ P_1 )
            = bot_bo620288102e_bool ) )
      & ! [P_1: $i] :
          ( ( ( collec307967673_state @ P_1 )
           != bot_bo620288102e_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[850]) ).

thf(1118,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_pname @ ( sK31_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_pname_bool @ P_1 @ ( sK31_X_1 @ P_1 ) ) ) )
          | ( ( collect_pname @ P_1 )
            = bot_bo844097828e_bool ) )
      & ! [P_1: $i] :
          ( ( ( collect_pname @ P_1 )
           != bot_bo844097828e_bool )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[849]) ).

thf(1119,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ C_1 ) @ bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[584]) ).

thf(1120,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ C_1 ) @ bot_bo535777328l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[583]) ).

thf(1121,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ C_1 ) @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[582]) ).

thf(1122,plain,
    ( ( ! [C_1: $i] :
          ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ C_1 ) @ bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[581]) ).

thf(1123,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun1661590463l_bool @ ( sK30_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK30_X_1 @ P_1 ) ) ) )
          | ( bot_bo1537088220l_bool
            = ( collec1613912337l_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1537088220l_bool
           != ( collec1613912337l_bool @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_fun1661590463l_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[848]) ).

thf(1124,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK29_X_1 @ P_1 ) ) )
          | ( bot_bo1761158942l_bool
            = ( collec488126193l_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1761158942l_bool
           != ( collec488126193l_bool @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[847]) ).

thf(1125,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK28_X_1 @ P_1 ) ) )
          | ( bot_bo535777328l_bool
            = ( collec1823980261e_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo535777328l_bool
           != ( collec1823980261e_bool @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[846]) ).

thf(1126,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_fun_pname_bool @ ( sK27_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK27_X_1 @ P_1 ) ) ) )
          | ( bot_bo1649642514l_bool
            = ( collec1974731493e_bool @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo1649642514l_bool
           != ( collec1974731493e_bool @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[845]) ).

thf(1127,plain,
    ( ( ! [P_1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ ( sK26_X_1 @ P_1 ) ) )
          | ( bot_bo620288102e_bool
            = ( collec307967673_state @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo620288102e_bool
           != ( collec307967673_state @ P_1 ) )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[844]) ).

thf(1128,plain,
    ( ( ! [P_1: $i] :
          ( ( ( is_pname @ ( sK25_X_1 @ P_1 ) )
            & ( hBOOL @ ( hAPP_pname_bool @ P_1 @ ( sK25_X_1 @ P_1 ) ) ) )
          | ( bot_bo844097828e_bool
            = ( collect_pname @ P_1 ) ) )
      & ! [P_1: $i] :
          ( ( bot_bo844097828e_bool
           != ( collect_pname @ P_1 ) )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[843]) ).

thf(1129,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A = bot_bo1649642514l_bool )
          | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ A ) ) @ A ) )
            & ( is_fun_pname_bool @ ( sK24_X_1 @ A ) ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ! [X_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) )
              | ~ ( is_fun_pname_bool @ X_1 ) )
          | ( A != bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[842]) ).

thf(1130,plain,
    ( ( ! [A: $i] :
          ( ( A = bot_bo535777328l_bool )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ A ) ) @ A ) ) )
      & ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) )
          | ( A != bot_bo535777328l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[841]) ).

thf(1131,plain,
    ( ( ! [A: $i] :
          ( ( A = bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ A ) ) @ A ) ) )
      & ! [A: $i] :
          ( ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) )
          | ( A != bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[840]) ).

thf(1132,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A = bot_bo844097828e_bool )
          | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ A ) ) @ A ) )
            & ( is_pname @ ( sK21_X_1 @ A ) ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ! [X_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
              | ~ ( is_pname @ X_1 ) )
          | ( A != bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[839]) ).

thf(1133,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( ( is_fun_pname_bool @ ( sK20_X_1 @ A ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ A ) ) @ A ) ) )
          | ( A = bot_bo1649642514l_bool ) )
      & ! [A: $i] :
          ( ~ ( is_fun1661590463l_bool @ A )
          | ( A != bot_bo1649642514l_bool )
          | ! [X_1: $i] :
              ( ~ ( is_fun_pname_bool @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ X_1 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[838]) ).

thf(1134,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ A ) ) @ A ) )
          | ( A = bot_bo535777328l_bool ) )
      & ! [A: $i] :
          ( ( A != bot_bo535777328l_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ X_1 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[837]) ).

thf(1135,plain,
    ( ( ! [A: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ A ) ) @ A ) )
          | ( A = bot_bo620288102e_bool ) )
      & ! [A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ! [X_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_1 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[836]) ).

thf(1136,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( ( is_pname @ ( sK17_X_1 @ A ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ A ) ) @ A ) ) )
          | ( A = bot_bo844097828e_bool ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ! [X_1: $i] :
              ( ~ ( is_pname @ X_1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[835]) ).

thf(1137,plain,
    ( ( bot_bo620288102e_bool
      = ( collec307967673_state @ ( cOMBK_659609255_state @ fFalse ) ) )
    = $true ),
    inference(copy,[status(thm)],[566]) ).

thf(1138,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
          | ( ( insert_pname @ A_2 @ A )
            = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[834]) ).

thf(1139,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
          | ( ( insert1415133716_state @ A_2 @ A )
            = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[833]) ).

thf(1140,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[832]) ).

thf(1141,plain,
    ( ( ! [B_1: $i,A_2: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[831]) ).

thf(1142,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ~ ( is_fun_pname_bool @ B )
              | ~ ( is_fun_pname_bool @ A )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ( ( insert_pname @ X_2 @ A )
               != ( insert_pname @ X_2 @ B ) )
              | ( A = B ) )
          & ! [X_2: $i,A: $i] :
              ( ~ ( is_fun_pname_bool @ B )
              | ~ ( is_fun_pname_bool @ A )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ( A != B )
              | ( ( insert_pname @ X_2 @ A )
                = ( insert_pname @ X_2 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[830]) ).

thf(1143,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ( ( insert1415133716_state @ X_2 @ A )
               != ( insert1415133716_state @ X_2 @ B ) )
              | ( A = B ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ( A != B )
              | ( ( insert1415133716_state @ X_2 @ A )
                = ( insert1415133716_state @ X_2 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[829]) ).

thf(1144,plain,
    ( ( ! [Y_2: $i] :
          ( ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) )
              | ( Y_2 = X_2 )
              | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ( Y_2 != X_2 )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( is_pname @ Y_2 )
              | ~ ( is_pname @ X_2 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ Y_2 @ A ) @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[828]) ).

thf(1145,plain,
    ( ( ! [Y_2: $i] :
          ( ! [A: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) )
              | ( Y_2 = X_2 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ( Y_2 != X_2 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) ) )
          & ! [A: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ Y_2 @ A ) @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[827]) ).

thf(1146,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ! [A: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) )
                  | ( A_2 = B_1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) ) ) )
          & ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ( A_2 != B_1 )
              | ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) ) )
          & ! [B_1: $i] :
              ( ~ ( is_pname @ A_2 )
              | ~ ( is_pname @ B_1 )
              | ! [A: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ A ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ B_1 @ A ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[826]) ).

thf(1147,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) )
              | ( A_2 = B_1 )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) ) )
          & ! [B_1: $i] :
              ( ( A_2 != B_1 )
              | ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) ) )
          & ! [B_1: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ A ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ B_1 @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[825]) ).

thf(1148,plain,
    ( ( ! [X_2: $i,Y_2: $i,A: $i] :
          ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ Y_2 @ A ) )
          = ( insert1415133716_state @ Y_2 @ ( insert1415133716_state @ X_2 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[555]) ).

thf(1149,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( insert1415133716_state @ X_2 @ ( insert1415133716_state @ X_2 @ A ) )
          = ( insert1415133716_state @ X_2 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[554]) ).

thf(1150,plain,
    ( ( ! [A_2: $i,P_1: $i] :
          ( ( insert1415133716_state @ A_2 @ ( collec307967673_state @ P_1 ) )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fimplies @ ( cOMBB_2144135922_state @ fNot @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) ) @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[553]) ).

thf(1151,plain,
    ( ( ! [A_2: $i,B: $i] :
          ( ( insert1415133716_state @ A_2 @ B )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[552]) ).

thf(1152,plain,
    ( ( ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( insert_pname @ A_2 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[551]) ).

thf(1153,plain,
    ( ( ! [A_2: $i,B: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ A_2 ) @ ( insert1415133716_state @ A_2 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[550]) ).

thf(1154,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[824]) ).

thf(1155,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[823]) ).

thf(1156,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[822]) ).

thf(1157,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[821]) ).

thf(1158,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[820]) ).

thf(1159,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[819]) ).

thf(1160,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[818]) ).

thf(1161,plain,
    ( ( ! [B: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[817]) ).

thf(1162,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[816]) ).

thf(1163,plain,
    ( ( ! [X_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[815]) ).

thf(1164,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[814]) ).

thf(1165,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[813]) ).

thf(1166,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[812]) ).

thf(1167,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[811]) ).

thf(1168,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) )
          | ( A = B ) )
      & ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( is_fun_pname_bool @ B )
          | ( A != B )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[810]) ).

thf(1169,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) )
          | ( A = B ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( A != B )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[809]) ).

thf(1170,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[533]) ).

thf(1171,plain,
    ( ( ! [A: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[532]) ).

thf(1172,plain,
    ( ( ! [B_1: $i,F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( B_1
           != ( hAPP_p1422361149_state @ F @ X_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[808]) ).

thf(1173,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ F @ X_2 ) ) @ ( image_2003357581_state @ F @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[807]) ).

thf(1174,plain,
    ( ( ! [Z: $i] :
          ( ! [F: $i,A: $i] :
              ( ! [X_1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
                  | ~ ( is_pname @ X_1 )
                  | ( Z
                   != ( hAPP_p1422361149_state @ F @ X_1 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) ) )
          & ! [F: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ Z ) @ ( image_2003357581_state @ F @ A ) ) )
              | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ A @ F @ Z ) ) @ A ) )
                & ( is_pname @ ( sK16_X_1 @ A @ F @ Z ) )
                & ( Z
                  = ( hAPP_p1422361149_state @ F @ ( sK16_X_1 @ A @ F @ Z ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[806]) ).

thf(1175,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) )
          | ~ ( 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 @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ Q_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[805]) ).

thf(1176,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ Q_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[804]) ).

thf(1177,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ Q_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[803]) ).

thf(1178,plain,
    ( ( ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) ) )
      & ! [P_1: $i] :
          ( ! [Q_1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ P_1 ) ) ) )
      & ! [P_1: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ P_1 ) @ Q_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ Q_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[802]) ).

thf(1179,plain,
    ( ( ! [X_1: $i,Xa: $i] :
          ( ( insert1415133716_state @ X_1 @ Xa )
          = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ X_1 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ Xa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[524]) ).

thf(1180,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool )
           != ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
          | ( A_2 = B_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[801]) ).

thf(1181,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[800]) ).

thf(1182,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[799]) ).

thf(1183,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( A_2 = C_1 )
              | ( A_2 = D_1 ) )
          & ! [C_1: $i] :
              ( ! [D_1: $i] :
                  ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                 != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( A_2 = C_1 )
              | ( B_1 = C_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( B_1 = D_1 )
              | ( A_2 = D_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) )
              | ( B_1 = D_1 )
              | ( B_1 = C_1 ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( A_2 != C_1 )
              | ( B_1 != D_1 )
              | ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) ) )
          & ! [C_1: $i,D_1: $i] :
              ( ( A_2 != D_1 )
              | ( B_1 != C_1 )
              | ( ( insert1415133716_state @ A_2 @ ( insert1415133716_state @ B_1 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ C_1 @ ( insert1415133716_state @ D_1 @ bot_bo620288102e_bool ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[798]) ).

thf(1184,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ( B_1 != A_2 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) ) )
      & ! [B_1: $i,A_2: $i] :
          ( ~ ( is_pname @ B_1 )
          | ~ ( is_pname @ A_2 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ B_1 ) @ ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[797]) ).

thf(1185,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( B_1 != A_2 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) ) )
      & ! [B_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
          | ( B_1 = A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[796]) ).

thf(1186,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ( insert1415133716_state @ A_2 @ A )
         != bot_bo620288102e_bool ) )
    = $true ),
    inference(copy,[status(thm)],[795]) ).

thf(1187,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( bot_bo620288102e_bool
         != ( insert1415133716_state @ A_2 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[794]) ).

thf(1188,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[793]) ).

thf(1189,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[792]) ).

thf(1190,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[791]) ).

thf(1191,plain,
    ( ( ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) )
      & ! [A_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ A_2 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[790]) ).

thf(1192,plain,
    ( ( ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) ) )
      & ! [A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ bot_bo844097828e_bool ) )
          | ( A = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[789]) ).

thf(1193,plain,
    ( ( ! [A: $i] :
          ( ( A != bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) ) )
      & ! [A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ bot_bo620288102e_bool ) )
          | ( A = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[788]) ).

thf(1194,plain,
    ( ( ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( ( image_2003357581_state @ F @ A )
           != bot_bo620288102e_bool )
          | ( A = bot_bo844097828e_bool ) )
      & ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ F @ A )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[787]) ).

thf(1195,plain,
    ( ( ! [F: $i] :
          ( ( image_2003357581_state @ F @ bot_bo844097828e_bool )
          = bot_bo620288102e_bool ) )
    = $true ),
    inference(copy,[status(thm)],[508]) ).

thf(1196,plain,
    ( ( ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( bot_bo620288102e_bool
           != ( image_2003357581_state @ F @ A ) )
          | ( A = bot_bo844097828e_bool ) )
      & ! [F: $i,A: $i] :
          ( ~ ( is_fun_pname_bool @ A )
          | ( A != bot_bo844097828e_bool )
          | ( bot_bo620288102e_bool
            = ( image_2003357581_state @ F @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[786]) ).

thf(1197,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( 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 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[785]) ).

thf(1198,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[784]) ).

thf(1199,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( 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 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[783]) ).

thf(1200,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[782]) ).

thf(1201,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[781]) ).

thf(1202,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ B ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[780]) ).

thf(1203,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ B ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[779]) ).

thf(1204,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[778]) ).

thf(1205,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ C_2 ) @ D ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ A_2 @ C_2 ) ) @ ( insert_pname @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[777]) ).

thf(1206,plain,
    ( ( ! [A_2: $i,C_2: $i,D: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ C_2 ) @ D ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ A_2 @ C_2 ) ) @ ( insert1415133716_state @ A_2 @ D ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[776]) ).

thf(1207,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) ) )
      & ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ A @ X_2 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[775]) ).

thf(1208,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) ) )
      & ! [X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ A @ X_2 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[774]) ).

thf(1209,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[773]) ).

thf(1210,plain,
    ( ( ! [B_1: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ B_1 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[772]) ).

thf(1211,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ ( insert_pname @ X_2 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[771]) ).

thf(1212,plain,
    ( ( ! [B: $i] :
          ( ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) )
          & ! [X_2: $i,A: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ A ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ ( insert1415133716_state @ X_2 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[770]) ).

thf(1213,plain,
    ( ( ! [X_2: $i] :
          ( ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[769]) ).

thf(1214,plain,
    ( ( ! [X_2: $i] :
          ( ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ X_2 ) @ B ) ) )
          & ! [A: $i,B: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ X_2 @ A ) ) @ B ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[768]) ).

thf(1215,plain,
    ( ( ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ B ) @ ( insert_pname @ A_2 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[488]) ).

thf(1216,plain,
    ( ( ! [B: $i,A_2: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( insert1415133716_state @ A_2 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(1217,plain,
    ( ( ! [F: $i,X_2: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_2 ) @ A ) )
          | ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ X_2 ) @ ( image_2003357581_state @ F @ A ) )
            = ( image_2003357581_state @ F @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[767]) ).

thf(1218,plain,
    ( ( ! [F: $i,A_2: $i,B: $i] :
          ( ( image_2003357581_state @ F @ ( insert_pname @ A_2 @ B ) )
          = ( insert1415133716_state @ ( hAPP_p1422361149_state @ F @ A_2 ) @ ( image_2003357581_state @ F @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(1219,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ F @ A ) ) @ ( image_2003357581_state @ F @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[766]) ).

thf(1220,plain,
    ( ( ! [B: $i] :
          ( ! [F: $i,A: $i] :
              ( ! [AA: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ AA ) @ A ) )
                  | ~ ( is_fun_pname_bool @ AA )
                  | ( B
                   != ( image_2003357581_state @ F @ AA ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) ) )
          & ! [F: $i,A: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
              | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ A @ F @ B ) ) @ A ) )
                & ( is_fun_pname_bool @ ( sK15_AA @ A @ F @ B ) )
                & ( B
                  = ( image_2003357581_state @ F @ ( sK15_AA @ A @ F @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[765]) ).

thf(1221,plain,
    ( ( ! [M: $i,A_2: $i] :
          ( ! [B_1: $i] :
              ( ( hAPP_p799580910on_com @ M @ A_2 )
             != ( some_com @ B_1 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ A_2 ) @ ( dom_pname_com @ M ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[764]) ).

thf(1222,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
            = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ A_2 ) ) @ P_1 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[763]) ).

thf(1223,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
            = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) ) @ P_1 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[762]) ).

thf(1224,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
            = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ A_2 ) ) @ P_1 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[761]) ).

thf(1225,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
            = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ A_2 ) ) @ P_1 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[760]) ).

thf(1226,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
            = ( insert_pname @ A_2 @ bot_bo844097828e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ P_1 @ A_2 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ A_2 ) ) @ P_1 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[759]) ).

thf(1227,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
            = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ P_1 @ A_2 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) ) @ P_1 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[758]) ).

thf(1228,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
            = ( insert1325755072e_bool @ A_2 @ bot_bo1649642514l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ A_2 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ A_2 ) ) @ P_1 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[757]) ).

thf(1229,plain,
    ( ( ! [P_1: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
            = ( insert1556680138e_bool @ A_2 @ bot_bo535777328l_bool ) ) )
      & ! [P_1: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ A_2 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ A_2 ) ) @ P_1 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[756]) ).

thf(1230,plain,
    ( ( ! [A_2: $i] :
          ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ A_2 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[473]) ).

thf(1231,plain,
    ( ( ! [A_2: $i] :
          ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ A_2 ) )
          = ( insert1415133716_state @ A_2 @ bot_bo620288102e_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[472]) ).

thf(1232,plain,
    ( ( ~ ( hBOOL @ hoare_165779456gleton )
      | ! [C_1: $i,G: $i] :
          ( ( ( is_pname @ ( sK14_X_1 @ G @ C_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ G @ C_1 ) ) @ ( dom_pname_com @ body ) ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ G @ C_1 ) ) ) @ bot_bo620288102e_bool ) ) ) )
          | ~ ( hBOOL @ ( wt @ C_1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ G ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[755]) ).

thf(1233,plain,
    ( ( ~ ( hBOOL @ wT_bodies )
      | ! [Pn: $i,B_2: $i] :
          ( ( ( hAPP_p799580910on_com @ body @ Pn )
           != ( some_com @ B_2 ) )
          | ( hBOOL @ ( wt @ B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[754]) ).

thf(1234,plain,
    ( ( ! [B_1: $i,F: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ B_1 ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( ( is_pname @ ( sK13_X_1 @ A @ F @ B_1 ) )
            & ( B_1
              = ( hAPP_p1422361149_state @ F @ ( sK13_X_1 @ A @ F @ B_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ A @ F @ B_1 ) ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[753]) ).

thf(1235,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ bot_bo844097828e_bool ) )
          | ( ( is_fun_pname_bool @ ( sK12_SY2604 @ Fa @ A @ P_1 ) )
            & ( is_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) ) @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ ( insert_pname @ ( sK11_A_1 @ Fa @ A @ P_1 ) @ ( sK12_SY2604 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[752]) ).

thf(1236,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ bot_bo620288102e_bool ) )
          | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) ) @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ ( insert1415133716_state @ ( sK9_A_1 @ Fa @ A @ P_1 ) @ ( sK10_SY2603 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[751]) ).

thf(1237,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ bot_bo1649642514l_bool ) )
          | ( ( is_fun1661590463l_bool @ ( sK8_SY2602 @ Fa @ A @ P_1 ) )
            & ( is_fun_pname_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) ) @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ ( insert1325755072e_bool @ ( sK7_A_1 @ Fa @ A @ P_1 ) @ ( sK8_SY2602 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[750]) ).

thf(1238,plain,
    ( ( ! [P_1: $i,A: $i,Fa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ Fa ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ Fa ) @ A ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ bot_bo535777328l_bool ) )
          | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) ) @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) )
            & ~ ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ ( insert1556680138e_bool @ ( sK5_A_1 @ Fa @ A @ P_1 ) @ ( sK6_SY2601 @ Fa @ A @ P_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ P_1 @ Fa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[749]) ).

thf(1239,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ P ) ) )
          | ( ( hAPP_p799580910on_com @ body @ P )
            = ( some_com @ ( sK4_Y_1 @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[748]) ).

thf(1240,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ( is_pname @ ( sK3_X_1 @ A @ B ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ A @ B ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ A @ B ) ) @ B ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[747]) ).

thf(1241,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ A @ B ) ) @ A ) )
            & ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ A @ B ) ) @ B ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ A ) @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[746]) ).

thf(1242,plain,
    ( ( ! [F: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ B ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ B ) @ ( image_2003357581_state @ F @ A ) ) )
          | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ B @ A @ F ) ) @ A ) )
            & ( is_fun_pname_bool @ ( sK1_C @ B @ A @ F ) )
            & ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ B @ A @ F ) ) )
            & ( B
              = ( image_2003357581_state @ F @ ( sK1_C @ B @ A @ F ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[745]) ).

thf(1243,plain,
    ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( dom_pname_com @ body ) ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(1244,plain,
    ( ( ! [Pname_1: $i,Pname: $i] :
          ( ~ ( is_pname @ Pname_1 )
          | ~ ( is_pname @ Pname )
          | ( ( hAPP_pname_com @ body_1 @ Pname_1 )
           != ( hAPP_pname_com @ body_1 @ Pname ) )
          | ( Pname_1 = Pname ) )
      & ! [Pname_1: $i,Pname: $i] :
          ( ~ ( is_pname @ Pname_1 )
          | ~ ( is_pname @ Pname )
          | ( Pname_1 != Pname )
          | ( ( hAPP_pname_com @ body_1 @ Pname_1 )
            = ( hAPP_pname_com @ body_1 @ Pname ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[744]) ).

thf(1245,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(1246,plain,
    ( ( ! [P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(1247,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ~ ( hBOOL @ P )
          | ~ ( hBOOL @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[743]) ).

thf(1248,plain,
    ( ( ! [P: $i] :
          ( ! [Q: $i] :
              ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ( hBOOL @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[742]) ).

thf(1249,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
          | ( hBOOL @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(1250,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ~ ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(1251,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ Q )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(1252,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hBOOL @ Q )
          | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
          | ( hBOOL @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[741]) ).

thf(1253,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(1254,plain,
    ( ( ! [Q: $i,P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(1255,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ~ ( hBOOL @ Q )
          | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(1256,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hBOOL @ Q )
          | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[740]) ).

thf(1257,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( is_pname @ X )
          | ~ ( is_pname @ Y )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[739]) ).

thf(1258,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[738]) ).

thf(1259,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( is_fun_pname_bool @ X )
          | ~ ( is_fun_pname_bool @ Y )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[737]) ).

thf(1260,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[736]) ).

thf(1261,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(1262,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[735]) ).

thf(1263,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(1264,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[734]) ).

thf(1265,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ P @ Q ) @ R )
          = ( hAPP_c1126217667_state @ P @ ( hAPP_pname_com @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(1266,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ! [Q: $i] :
              ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ P ) @ Q )
              = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[733]) ).

thf(1267,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ P @ Q ) @ R )
          = ( hAPP_bool_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(1268,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ P @ Q ) @ R )
          = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ P @ R ) @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(1269,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ P @ Q ) @ R )
          = ( hAPP_b589554111l_bool @ P @ ( hAPP_f971112728l_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(1270,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(1271,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(1272,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ P ) @ Q ) @ R )
          = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(1273,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[732]) ).

thf(1274,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ( SX1 != bot_bo1649642514l_bool )
                | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
                  = bot_bo620288102e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ( SX1 = bot_bo1649642514l_bool )
                | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
                  = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1040]) ).

thf(1275,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) ) @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) ) @ SX2 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX2 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) ) @ SX2 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1214]) ).

thf(1276,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0 != bot_bo620288102e_bool )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) )
                | ( SX0 = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1193]) ).

thf(1277,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1033]) ).

thf(1278,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
                | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
                  = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
                | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
                  = bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1228]) ).

thf(1279,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( image_2003357581_state @ SX1 @ SX2 ) ) )
          | ~ ( ~ ( is_pname @ ( sK13_X_1 @ SX2 @ SX1 @ SX0 ) )
              | ~ ~ ( ( SX0
                     != ( hAPP_p1422361149_state @ SX1 @ ( sK13_X_1 @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1234]) ).

thf(1280,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1031]) ).

thf(1281,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1207]) ).

thf(1282,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i] :
                  ( ~ ( is_pname @ SX0 )
                  | ~ ( is_pname @ SX1 )
                  | ! [SX2: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ SX2 ) ) )
                      | ( SX0 = SX1 )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX2 ) ) ) )
            | ~ ~ ( ~ ! [SX1: $i] :
                        ( ~ ( is_pname @ SX0 )
                        | ~ ( is_pname @ SX1 )
                        | ( SX0 != SX1 )
                        | ! [SX2: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ SX2 ) ) ) )
                  | ~ ! [SX1: $i] :
                        ( ~ ( is_pname @ SX0 )
                        | ~ ( is_pname @ SX1 )
                        | ! [SX2: $i] :
                            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX2 ) )
                            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ SX2 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1146]) ).

thf(1283,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( is_pname @ ( sK3_X_1 @ SX1 @ SX0 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1240]) ).

thf(1284,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK31_X_1 @ SX0 ) ) ) )
                | ( ( collect_pname @ SX0 )
                  = bot_bo844097828e_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collect_pname @ SX0 )
                 != bot_bo844097828e_bool )
                | ! [SX1: $i] :
                    ( ~ ( is_pname @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1118]) ).

thf(1285,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != bot_bo620288102e_bool )
                | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
                  = bot_bo1649642514l_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 = bot_bo620288102e_bool )
                | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
                  = ( insert1325755072e_bool @ SX0 @ bot_bo1649642514l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1038]) ).

thf(1286,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0 = bot_bo535777328l_bool )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SX0 ) ) @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) )
                | ( SX0 != bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1130]) ).

thf(1287,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( ( image_2003357581_state @ SX0 @ SX1 )
                 != bot_bo620288102e_bool )
                | ( SX1 = bot_bo844097828e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( SX1 != bot_bo844097828e_bool )
                | ( ( image_2003357581_state @ SX0 @ SX1 )
                  = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1194]) ).

thf(1288,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != bot_bo620288102e_bool )
                | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
                  = bot_bo844097828e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 = bot_bo620288102e_bool )
                | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
                  = ( insert_pname @ SX0 @ bot_bo844097828e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1037]) ).

thf(1289,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK25_X_1 @ SX0 ) ) ) )
                | ( bot_bo844097828e_bool
                  = ( collect_pname @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo844097828e_bool
                 != ( collect_pname @ SX0 ) )
                | ! [SX1: $i] :
                    ( ~ ( is_pname @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1128]) ).

thf(1290,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( bot_bo620288102e_bool
                 != ( image_2003357581_state @ SX0 @ SX1 ) )
                | ( SX1 = bot_bo844097828e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( SX1 != bot_bo844097828e_bool )
                | ( bot_bo620288102e_bool
                  = ( image_2003357581_state @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1196]) ).

thf(1291,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK27_X_1 @ SX0 ) ) ) )
                | ( bot_bo1649642514l_bool
                  = ( collec1974731493e_bool @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo1649642514l_bool
                 != ( collec1974731493e_bool @ SX0 ) )
                | ! [SX1: $i] :
                    ( ~ ( is_fun_pname_bool @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1126]) ).

thf(1292,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SX0 ) ) @ SX0 ) )
                | ( SX0 = bot_bo535777328l_bool ) )
          | ~ ! [SX0: $i] :
                ( ( SX0 != bot_bo535777328l_bool )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1134]) ).

thf(1293,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1189]) ).

thf(1294,plain,
    ( ( ~ ( hBOOL @ hoare_165779456gleton )
      | ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SX1 @ SX0 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SX1 @ SX0 ) ) @ ( dom_pname_com @ body ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SX1 @ SX0 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
          | ~ ( hBOOL @ ( wt @ SX0 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SX0 ) @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1232]) ).

thf(1295,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1034]) ).

thf(1296,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) )
                              | ( SX0 = SX2 )
                              | ( SX0 = SX3 ) )
                        | ~ ! [SX2: $i] :
                              ( ! [SX3: $i] :
                                  ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                                 != ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) )
                              | ( SX0 = SX2 )
                              | ( SX1 = SX2 ) ) )
                  | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) )
                              | ( SX1 = SX3 )
                              | ( SX0 = SX3 ) )
                        | ~ ! [SX2: $i,SX3: $i] :
                              ( ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) )
                              | ( SX1 = SX3 )
                              | ( SX1 = SX2 ) ) ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ( SX0 != SX2 )
                        | ( SX1 != SX3 )
                        | ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                          = ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( SX0 != SX3 )
                        | ( SX1 != SX2 )
                        | ( ( insert1415133716_state @ SX0 @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) )
                          = ( insert1415133716_state @ SX2 @ ( insert1415133716_state @ SX3 @ bot_bo620288102e_bool ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1183]) ).

thf(1297,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK33_X_1 @ SX0 ) ) ) )
                | ( ( collec1974731493e_bool @ SX0 )
                  = bot_bo1649642514l_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collec1974731493e_bool @ SX0 )
                 != bot_bo1649642514l_bool )
                | ! [SX1: $i] :
                    ( ~ ( is_fun_pname_bool @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1116]) ).

thf(1298,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ bot_bo620288102e_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SX2 @ SX1 @ SX0 ) ) @ ( sK10_SY2603 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK10_SY2603 @ SX2 @ SX1 @ SX0 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( insert1415133716_state @ ( sK9_A_1 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY2603 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1236]) ).

thf(1299,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX2 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ bot_bo844097828e_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SX2 @ SX1 @ SX0 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SX2 @ SX1 @ SX0 ) ) @ ( sK12_SY2604 @ SX2 @ SX1 @ SX0 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK12_SY2604 @ SX2 @ SX1 @ SX0 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( insert_pname @ ( sK11_A_1 @ SX2 @ SX1 @ SX0 ) @ ( sK12_SY2604 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1235]) ).

thf(1300,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1035]) ).

thf(1301,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK28_X_1 @ SX0 ) ) )
                | ( bot_bo535777328l_bool
                  = ( collec1823980261e_bool @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo535777328l_bool
                 != ( collec1823980261e_bool @ SX0 ) )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1125]) ).

thf(1302,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ( SX0 != bot_bo844097828e_bool )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) )
                | ( SX0 = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1192]) ).

thf(1303,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_pname @ SX0 )
                | ~ ( is_pname @ SX1 )
                | ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_pname @ SX0 )
                | ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
                | ( SX0 = SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1184]) ).

thf(1304,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1177]) ).

thf(1305,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK30_X_1 @ SX0 ) ) ) )
                | ( bot_bo1537088220l_bool
                  = ( collec1613912337l_bool @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo1537088220l_bool
                 != ( collec1613912337l_bool @ SX0 ) )
                | ! [SX1: $i] :
                    ( ~ ( is_fun1661590463l_bool @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1123]) ).

thf(1306,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ ( image_2003357581_state @ SX0 @ SX1 ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) )
                          | ~ ( is_fun_pname_bool @ ( sK1_C @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SX2 @ SX1 @ SX0 ) ) ) )
              | ( SX2
               != ( image_2003357581_state @ SX0 @ ( sK1_C @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1242]) ).

thf(1307,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
                | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
                  = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
                | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
                  = bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1224]) ).

thf(1308,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
                | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
                  = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
                | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
                  = bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1229]) ).

thf(1309,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ ( insert1415133716_state @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i] :
                  ( ( SX1 != SX0 )
                  | ! [SX2: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ ( insert1415133716_state @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1082]) ).

thf(1310,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ ( insert_pname @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i] :
                  ( ( SX1 != SX0 )
                  | ! [SX2: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ ( insert_pname @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1085]) ).

thf(1311,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ SX2 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ SX2 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX0 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[987]) ).

thf(1312,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
                | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
                  = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
                | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
                  = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1227]) ).

thf(1313,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SX2 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ bot_bo535777328l_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SX2 @ SX1 @ SX0 ) ) @ ( sK6_SY2601 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK6_SY2601 @ SX2 @ SX1 @ SX0 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SX2 @ SX1 @ SX0 ) @ ( sK6_SY2601 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1238]) ).

thf(1314,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1190]) ).

thf(1315,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK36_X_1 @ SX0 ) ) ) )
                | ( ( collec1613912337l_bool @ SX0 )
                  = bot_bo1537088220l_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collec1613912337l_bool @ SX0 )
                 != bot_bo1537088220l_bool )
                | ! [SX1: $i] :
                    ( ~ ( is_fun1661590463l_bool @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1113]) ).

thf(1316,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ ( insert1325755072e_bool @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i] :
                  ( ( SX1 != SX0 )
                  | ! [SX2: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ ( insert1325755072e_bool @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1083]) ).

thf(1317,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( SX1 != bot_bo844097828e_bool )
                | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
                  = bot_bo620288102e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ( SX1 = bot_bo844097828e_bool )
                | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
                  = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1036]) ).

thf(1318,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
                | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1176]) ).

thf(1319,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ SX2 ) ) )
                  | ( SX0 = SX1 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i] :
                        ( ( SX0 != SX1 )
                        | ! [SX2: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ SX2 ) ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX2 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ SX2 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1147]) ).

thf(1320,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1188]) ).

thf(1321,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX3 ) @ SX2 ) )
                      | ~ ( is_fun_pname_bool @ SX3 )
                      | ( SX0
                       != ( image_2003357581_state @ SX1 @ SX3 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ ( image_2003357581_state @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ ( image_2003357581_state @ SX1 @ SX2 ) ) )
                  | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) )
                            | ~ ( is_fun_pname_bool @ ( sK15_AA @ SX2 @ SX1 @ SX0 ) ) )
                      | ( SX0
                       != ( image_2003357581_state @ SX1 @ ( sK15_AA @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1220]) ).

thf(1322,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ ( insert1415133716_state @ SX1 @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ SX0 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ SX0 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX2 ) @ ( insert1415133716_state @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1212]) ).

thf(1323,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1191]) ).

thf(1324,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX0 )
                | ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SX0 ) ) @ SX0 ) ) )
                | ( SX0 = bot_bo1649642514l_bool ) )
          | ~ ! [SX0: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX0 )
                | ( SX0 != bot_bo1649642514l_bool )
                | ! [SX1: $i] :
                    ( ~ ( is_fun_pname_bool @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1133]) ).

thf(1325,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX0 )
                | ( SX0 = bot_bo1649642514l_bool )
                | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SX0 ) ) @ SX0 ) )
                    | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) )
                    | ~ ( is_fun_pname_bool @ SX1 ) )
                | ( SX0 != bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1129]) ).

thf(1326,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ ( insert1556680138e_bool @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i] :
                  ( ( SX1 != SX0 )
                  | ! [SX2: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ ( insert1556680138e_bool @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1084]) ).

thf(1327,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1032]) ).

thf(1328,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1208]) ).

thf(1329,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) )
                | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) )
                | ( SX0 = SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1169]) ).

thf(1330,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) @ SX2 ) )
                  | ( SX0 = SX2 )
                  | ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ( SX0 != SX2 )
                        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) @ SX2 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX2 ) )
                        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1145]) ).

thf(1331,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1155]) ).

thf(1332,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1030]) ).

thf(1333,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
                | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1178]) ).

thf(1334,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( is_pname @ SX0 )
                  | ~ ( is_pname @ SX2 )
                  | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SX0 @ SX1 ) @ SX2 ) )
                  | ( SX0 = SX2 )
                  | ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( is_pname @ SX0 )
                        | ~ ( is_pname @ SX2 )
                        | ( SX0 != SX2 )
                        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SX0 @ SX1 ) @ SX2 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( is_pname @ SX0 )
                        | ~ ( is_pname @ SX2 )
                        | ~ ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX2 ) )
                        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1144]) ).

thf(1335,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != bot_bo535777328l_bool )
                | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
                  = bot_bo620288102e_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 = bot_bo535777328l_bool )
                | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
                  = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1041]) ).

thf(1336,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK35_X_1 @ SX0 ) ) )
                | ( ( collec488126193l_bool @ SX0 )
                  = bot_bo1761158942l_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collec488126193l_bool @ SX0 )
                 != bot_bo1761158942l_bool )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1114]) ).

thf(1337,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
                | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
                  = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
                | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
                  = bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1223]) ).

thf(1338,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SX0 @ SX1 ) ) @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SX0 @ SX1 ) ) @ SX2 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX2 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SX0 @ SX1 ) ) @ SX2 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1213]) ).

thf(1339,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK32_X_1 @ SX0 ) ) )
                | ( ( collec307967673_state @ SX0 )
                  = bot_bo620288102e_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collec307967673_state @ SX0 )
                 != bot_bo620288102e_bool )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1117]) ).

thf(1340,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK29_X_1 @ SX0 ) ) )
                | ( bot_bo1761158942l_bool
                  = ( collec488126193l_bool @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo1761158942l_bool
                 != ( collec488126193l_bool @ SX0 ) )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1124]) ).

thf(1341,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) )
                | ( SX0 = SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( is_fun_pname_bool @ SX0 )
                      | ~ ( is_fun_pname_bool @ SX1 )
                      | ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( is_fun_pname_bool @ SX0 )
                      | ~ ( is_fun_pname_bool @ SX1 )
                      | ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1168]) ).

thf(1342,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SX2 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ bot_bo1649642514l_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SX2 @ SX1 @ SX0 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SX2 @ SX1 @ SX0 ) ) @ ( sK8_SY2602 @ SX2 @ SX1 @ SX0 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK8_SY2602 @ SX2 @ SX1 @ SX0 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SX2 @ SX1 @ SX0 ) @ ( sK8_SY2602 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1237]) ).

thf(1343,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
                | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
                  = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
                | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
                  = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1222]) ).

thf(1344,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_pname @ SX0 )
                | ~ ( is_pname @ SX1 )
                | ( ( hAPP_pname_com @ body_1 @ SX0 )
                 != ( hAPP_pname_com @ body_1 @ SX1 ) )
                | ( SX0 = SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_pname @ SX0 )
                | ~ ( is_pname @ SX1 )
                | ( SX0 != SX1 )
                | ( ( hAPP_pname_com @ body_1 @ SX0 )
                  = ( hAPP_pname_com @ body_1 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1244]) ).

thf(1345,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SX0 ) ) @ SX0 ) )
                | ( SX0 = bot_bo620288102e_bool ) )
          | ~ ! [SX0: $i] :
                ( ( SX0 != bot_bo620288102e_bool )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1135]) ).

thf(1346,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
                | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
                  = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
                | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
                  = bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1225]) ).

thf(1347,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ~ ( ~ ( is_pname @ ( sK17_X_1 @ SX0 ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SX0 ) ) @ SX0 ) ) )
                | ( SX0 = bot_bo844097828e_bool ) )
          | ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ( SX0 != bot_bo844097828e_bool )
                | ! [SX1: $i] :
                    ( ~ ( is_pname @ SX1 )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1136]) ).

thf(1348,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK34_X_1 @ SX0 ) ) )
                | ( ( collec1823980261e_bool @ SX0 )
                  = bot_bo535777328l_bool ) )
          | ~ ! [SX0: $i] :
                ( ( ( collec1823980261e_bool @ SX0 )
                 != bot_bo535777328l_bool )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1115]) ).

thf(1349,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
                | ( SX0 = SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1185]) ).

thf(1350,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
                  | ( ( insert1415133716_state @ SX1 @ SX2 )
                   != ( insert1415133716_state @ SX1 @ SX0 ) )
                  | ( SX2 = SX0 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
                  | ( SX2 != SX0 )
                  | ( ( insert1415133716_state @ SX1 @ SX2 )
                    = ( insert1415133716_state @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1143]) ).

thf(1351,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1154]) ).

thf(1352,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0 = bot_bo620288102e_bool )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SX0 ) ) @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
                | ( SX0 != bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1131]) ).

thf(1353,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK26_X_1 @ SX0 ) ) )
                | ( bot_bo620288102e_bool
                  = ( collec307967673_state @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( bot_bo620288102e_bool
                 != ( collec307967673_state @ SX0 ) )
                | ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1127]) ).

thf(1354,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX2 ) @ ( insert_pname @ SX1 @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX2 ) @ SX0 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX2 ) @ SX0 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX2 ) @ ( insert_pname @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1211]) ).

thf(1355,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX2 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
                  | ( ( insert_pname @ SX1 @ SX2 )
                   != ( insert_pname @ SX1 @ SX0 ) )
                  | ( SX2 = SX0 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX2 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
                  | ( SX2 != SX0 )
                  | ( ( insert_pname @ SX1 @ SX2 )
                    = ( insert_pname @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1142]) ).

thf(1356,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX3 ) @ SX2 ) )
                      | ~ ( is_pname @ SX3 )
                      | ( SX0
                       != ( hAPP_p1422361149_state @ SX1 @ SX3 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( image_2003357581_state @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( image_2003357581_state @ SX1 @ SX2 ) ) )
                  | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) )
                            | ~ ( is_pname @ ( sK16_X_1 @ SX2 @ SX1 @ SX0 ) ) )
                      | ( SX0
                       != ( hAPP_p1422361149_state @ SX1 @ ( sK16_X_1 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1174]) ).

thf(1357,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != bot_bo620288102e_bool )
                | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
                  = bot_bo535777328l_bool ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 = bot_bo620288102e_bool )
                | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
                  = ( insert1556680138e_bool @ SX0 @ bot_bo535777328l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1039]) ).

thf(1358,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
                | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
                  = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
                | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
                  = bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1226]) ).

thf(1359,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ( SX0 = bot_bo844097828e_bool )
                | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SX0 ) ) @ SX0 ) )
                    | ~ ( is_pname @ ( sK21_X_1 @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
                    | ~ ( is_pname @ SX1 ) )
                | ( SX0 != bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1132]) ).

thf(1360,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1175]) ).

thf(1361,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SX1 @ SX0 ) ) @ SX1 ) )
              | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SX1 @ SX0 ) ) @ SX0 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1241]) ).

thf(1362,plain,
    ! [SV1: $i] :
      ( ( is_fun_pname_bool @ ( dom_pname_com @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1363,plain,
    ! [SV2: $i] :
      ( ( ! [SY2605: $i] : ( is_bool @ ( hAPP_f971112728l_bool @ SV2 @ SY2605 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(1364,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) ) @ fa ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[977]) ).

thf(1365,plain,
    ! [SV3: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV3 ) @ bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1366,plain,
    ! [SV4: $i] :
      ( ( ! [SY2606: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV4 ) @ SY2606 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2606 ) @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1367,plain,
    ! [SV5: $i] :
      ( ( ! [SY2607: $i,SY2608: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2607 ) @ SY2608 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SY2608 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2607 ) @ SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1368,plain,
    ! [SV6: $i] :
      ( ( ! [SY2609: $i,SY2610: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2609 ) @ SY2610 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2609 ) @ SV6 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SY2610 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1369,plain,
    ! [SV7: $i] :
      ( ( ! [SY2611: $i,SY2612: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2611 ) @ SY2612 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SY2611 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SY2612 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1370,plain,
    ! [SV8: $i] :
      ( ( ! [SY2613: $i,SY2614: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2613 ) @ ( insert1415133716_state @ SY2614 @ bot_bo620288102e_bool ) ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2613 ) @ SV8 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2613 ) @ ( insert1415133716_state @ SY2614 @ SV8 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1371,plain,
    ! [SV9: $i] :
      ( ( ! [SY2615: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ SY2615 ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ SV9 ) ) ) @ bot_bo620288102e_bool ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY2615 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1372,plain,
    ! [SV10: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV10 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ ord_le313189616e_bool ) @ SV10 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1373,plain,
    ! [SV11: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV11 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ SV11 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1374,plain,
    ! [SV12: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV12 ) )
        | ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ SV12 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1375,plain,
    ! [SV13: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV13 ) )
        | ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ SV13 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1376,plain,
    ! [SV14: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV14 ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ SV14 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1377,plain,
    ! [SV15: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV15 ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( hAPP_f510955609l_bool @ ( cOMBC_7971162l_bool @ ord_le675606854l_bool ) @ SV15 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1378,plain,
    ! [SV16: $i] :
      ( ( ! [SY2616: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2616 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ SV16 @ SY2616 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1379,plain,
    ! [SV17: $i] :
      ( ( ! [SY2617: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2617 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ SV17 @ SY2617 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1380,plain,
    ! [SV18: $i] :
      ( ( ! [SY2618: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2618 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ SV18 @ SY2618 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1381,plain,
    ! [SV19: $i] :
      ( ( ! [SY2619: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2619 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ SV19 @ SY2619 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[998]) ).

thf(1382,plain,
    ! [SV20: $i] :
      ( ( ! [SY2620: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2620 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ SV20 @ SY2620 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1383,plain,
    ! [SV21: $i] :
      ( ( ! [SY2621: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2621 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ SV21 @ SY2621 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1384,plain,
    ! [SV22: $i] :
      ( ( ! [SY2622: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2622 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ SV22 @ SY2622 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1385,plain,
    ! [SV23: $i] :
      ( ( ! [SY2623: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2623 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ SV23 @ SY2623 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1386,plain,
    ! [SV24: $i] :
      ( ( ! [SY2624: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2624 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ SV24 @ SY2624 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1387,plain,
    ! [SV25: $i] :
      ( ( ! [SY2625: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2625 ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ SV25 @ SY2625 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1388,plain,
    ! [SV26: $i] :
      ( ( ! [SY2626: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2626 ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ SV26 @ SY2626 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1389,plain,
    ! [SV27: $i] :
      ( ( ! [SY2627: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2627 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ SV27 @ SY2627 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1390,plain,
    ! [SV28: $i] :
      ( ( ! [SY2628: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2628 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ SV28 @ SY2628 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1391,plain,
    ! [SV29: $i] :
      ( ( ! [SY2629: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2629 ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ SV29 @ SY2629 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1392,plain,
    ! [SV30: $i] :
      ( ( ! [SY2630: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2630 ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ SV30 @ SY2630 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1393,plain,
    ! [SV31: $i] :
      ( ( ! [SY2631: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2631 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ SV31 @ SY2631 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1394,plain,
    ! [SV32: $i] :
      ( ( ! [SY2632: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2632 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ SV32 @ SY2632 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1011]) ).

thf(1395,plain,
    ! [SV33: $i] :
      ( ( ! [SY2633: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2633 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ SV33 @ SY2633 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1396,plain,
    ! [SV34: $i] :
      ( ( ! [SY2634: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2634 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ SV34 @ SY2634 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1397,plain,
    ! [SV35: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ bot_bo620288102e_bool ) @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1398,plain,
    ! [SV36: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ bot_bo1649642514l_bool ) @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1399,plain,
    ! [SV37: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ bot_bo535777328l_bool ) @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1400,plain,
    ! [SV38: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ bot_bo844097828e_bool ) @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1017]) ).

thf(1401,plain,
    ! [SV39: $i] :
      ( ( ! [SY2635: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2635 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV39 @ SY2635 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1402,plain,
    ! [SV40: $i] :
      ( ( ! [SY2636: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2636 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV40 @ SY2636 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1019]) ).

thf(1403,plain,
    ! [SV41: $i] :
      ( ( ! [SY2637: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2637 ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ SV41 @ SY2637 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1404,plain,
    ! [SV42: $i] :
      ( ( ! [SY2638: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2638 ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ SV42 @ SY2638 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1021]) ).

thf(1405,plain,
    ! [SV43: $i] :
      ( ( ! [SY2639: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2639 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV43 @ SY2639 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1406,plain,
    ! [SV44: $i] :
      ( ( ! [SY2640: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2640 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV44 @ SY2640 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1023]) ).

thf(1407,plain,
    ! [SV45: $i] :
      ( ( ! [SY2641: $i,SY2642: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2641 ) @ SY2642 ) )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV45 ) @ SY2642 )
              = ( insert1415133716_state @ SV45 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1408,plain,
    ! [SV46: $i] :
      ( ( ! [SY2643: $i,SY2644: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2643 ) @ SY2644 ) )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV46 ) @ SY2644 )
              = ( insert_pname @ SV46 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1043]) ).

thf(1409,plain,
    ! [SV47: $i] :
      ( ( ! [SY2645: $i,SY2646: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2645 ) @ SY2646 ) )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV47 ) @ SY2646 )
              = ( insert1325755072e_bool @ SV47 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1410,plain,
    ! [SV48: $i] :
      ( ( ! [SY2647: $i,SY2648: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2647 ) @ SY2648 ) )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV48 ) @ SY2648 )
              = ( insert1556680138e_bool @ SV48 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1411,plain,
    ! [SV49: $i] :
      ( ( ! [SY2649: $i,SY2650: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2649 ) @ SY2650 ) )
            | ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ SV49 ) @ SY2650 )
              = ( insert1325755072e_bool @ SV49 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1046]) ).

thf(1412,plain,
    ! [SV50: $i] :
      ( ( ! [SY2651: $i,SY2652: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2651 ) @ SY2652 ) )
            | ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ SV50 ) @ SY2652 )
              = ( insert1556680138e_bool @ SV50 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1047]) ).

thf(1413,plain,
    ! [SV51: $i] :
      ( ( ! [SY2653: $i,SY2654: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2653 ) @ SY2654 ) )
            | ( ( image_pname_pname @ ( cOMBK_pname_pname @ SV51 ) @ SY2654 )
              = ( insert_pname @ SV51 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1048]) ).

thf(1414,plain,
    ! [SV52: $i] :
      ( ( ! [SY2655: $i,SY2656: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2655 ) @ SY2656 ) )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV52 ) @ SY2656 )
              = ( insert1415133716_state @ SV52 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1415,plain,
    ! [SV53: $i] :
      ( ( ! [SY2657: $i,SY2658: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2657 ) @ SY2658 ) )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV53 ) @ SY2658 )
              = ( insert1415133716_state @ SV53 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1416,plain,
    ! [SV54: $i] :
      ( ( ! [SY2659: $i,SY2660: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2659 ) @ SY2660 ) )
            | ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ SV54 ) @ SY2660 )
              = ( insert_pname @ SV54 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1417,plain,
    ! [SV55: $i] :
      ( ( ! [SY2661: $i,SY2662: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2661 ) @ SY2662 ) )
            | ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ SV55 ) @ SY2662 )
              = ( insert_pname @ SV55 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1418,plain,
    ! [SV56: $i] :
      ( ( ! [SY2663: $i] :
            ( ! [SY2664: $i] :
                ( ( hAPP_p799580910on_com @ SV56 @ SY2663 )
               != ( some_com @ SY2664 ) )
            | ( ( insert_pname @ SY2663 @ ( dom_pname_com @ SV56 ) )
              = ( dom_pname_com @ SV56 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1053]) ).

thf(1419,plain,
    ! [SV57: $i] :
      ( ( ! [SY2665: $i,SY2666: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2666 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SY2665 @ SY2666 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1420,plain,
    ! [SV58: $i] :
      ( ( ! [SY2667: $i,SY2668: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2668 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SY2667 @ SY2668 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1421,plain,
    ! [SV59: $i] :
      ( ( ! [SY2669: $i,SY2670: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2670 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SY2669 @ SY2670 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1056]) ).

thf(1422,plain,
    ! [SV60: $i] :
      ( ( ! [SY2671: $i,SY2672: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2672 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SY2671 @ SY2672 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1057]) ).

thf(1423,plain,
    ! [SV61: $i] :
      ( ( ! [SY2673: $i,SY2674: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2674 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SY2673 @ SY2674 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1424,plain,
    ! [SV62: $i] :
      ( ( ! [SY2675: $i,SY2676: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2676 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SY2675 @ SY2676 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1059]) ).

thf(1425,plain,
    ! [SV63: $i] :
      ( ( ! [SY2677: $i,SY2678: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2678 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SY2677 @ SY2678 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1426,plain,
    ! [SV64: $i] :
      ( ( ! [SY2679: $i,SY2680: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2680 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SY2679 @ SY2680 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1061]) ).

thf(1427,plain,
    ! [SV65: $i] :
      ( ( ! [SY2681: $i,SY2682: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2682 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SY2681 @ SY2682 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1062]) ).

thf(1428,plain,
    ! [SV66: $i] :
      ( ( ! [SY2683: $i,SY2684: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2684 ) )
            | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SY2683 @ SY2684 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1063]) ).

thf(1429,plain,
    ! [SV67: $i] :
      ( ( ! [SY2685: $i,SY2686: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2686 ) )
            | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SY2685 @ SY2686 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1064]) ).

thf(1430,plain,
    ! [SV68: $i] :
      ( ( ! [SY2687: $i,SY2688: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2688 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SY2687 @ SY2688 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1065]) ).

thf(1431,plain,
    ! [SV69: $i] :
      ( ( ! [SY2689: $i,SY2690: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2690 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SY2689 @ SY2690 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1066]) ).

thf(1432,plain,
    ! [SV70: $i] :
      ( ( ! [SY2691: $i,SY2692: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2692 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SY2691 @ SY2692 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1067]) ).

thf(1433,plain,
    ! [SV71: $i] :
      ( ( ! [SY2693: $i,SY2694: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2694 ) )
            | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SY2693 @ SY2694 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1434,plain,
    ! [SV72: $i] :
      ( ( ! [SY2695: $i,SY2696: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2696 ) )
            | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SY2695 @ SY2696 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1069]) ).

thf(1435,plain,
    ! [SV73: $i] :
      ( ( ! [SY2697: $i,SY2698: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2698 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SY2697 @ SY2698 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1070]) ).

thf(1436,plain,
    ! [SV74: $i] :
      ( ( ! [SY2699: $i,SY2700: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2700 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SY2699 @ SY2700 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1071]) ).

thf(1437,plain,
    ! [SV75: $i] :
      ( ( ! [SY2701: $i,SY2702: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2702 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SY2701 @ SY2702 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1438,plain,
    ! [SV76: $i] :
      ( ( ! [SY2703: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV76 ) @ ( insert1415133716_state @ SY2703 @ bot_bo620288102e_bool ) ) )
            | ( SV76 = bot_bo620288102e_bool )
            | ( SV76
              = ( insert1415133716_state @ SY2703 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1439,plain,
    ! [SV77: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV77 )
        | ! [SY2704: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) )
            | ( SV77 = bot_bo1649642514l_bool )
            | ( SV77
              = ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1440,plain,
    ! [SV78: $i] :
      ( ( ! [SY2705: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV78 ) @ ( insert1556680138e_bool @ SY2705 @ bot_bo535777328l_bool ) ) )
            | ( SV78 = bot_bo535777328l_bool )
            | ( SV78
              = ( insert1556680138e_bool @ SY2705 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1075]) ).

thf(1441,plain,
    ! [SV79: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV79 )
        | ! [SY2706: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) )
            | ( SV79 = bot_bo844097828e_bool )
            | ( SV79
              = ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1076]) ).

thf(1442,plain,
    ( ( ( ~ ( hBOOL @ hoare_165779456gleton ) )
      = $true )
    | ( ( ~ ( hBOOL @ wT_bodies )
        | ! [C_1: $i] :
            ( ~ ( hBOOL @ ( wt @ C_1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1077]) ).

thf(1443,plain,
    ! [SV80: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV80 ) @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1078]) ).

thf(1444,plain,
    ! [SV81: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV81 ) @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1445,plain,
    ! [SV82: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV82 ) @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1446,plain,
    ! [SV83: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV83 ) @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1081]) ).

thf(1447,plain,
    ! [SV84: $i] :
      ( ( ! [SY2707: $i,SY2708: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SY2707 @ SY2708 ) ) )
            | ( SV84 = SY2707 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SY2708 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1086]) ).

thf(1448,plain,
    ! [SV85: $i] :
      ( ( ! [SY2709: $i] :
            ( ~ ( is_fun_pname_bool @ SV85 )
            | ~ ( is_fun_pname_bool @ SY2709 )
            | ! [SY2710: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SY2709 @ SY2710 ) ) )
                | ( SV85 = SY2709 )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY2710 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1087]) ).

thf(1449,plain,
    ! [SV86: $i] :
      ( ( ! [SY2711: $i,SY2712: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SY2711 @ SY2712 ) ) )
            | ( SV86 = SY2711 )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SY2712 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1450,plain,
    ! [SV87: $i] :
      ( ( ! [SY2713: $i] :
            ( ~ ( is_pname @ SV87 )
            | ~ ( is_pname @ SY2713 )
            | ! [SY2714: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SY2713 @ SY2714 ) ) )
                | ( SV87 = SY2713 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY2714 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1451,plain,
    ! [SV88: $i] :
      ( ( ! [SY2715: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SY2715 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2715 ) @ SV88 ) )
            | ( SV88 = SY2715 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1452,plain,
    ! [SV89: $i] :
      ( ( ! [SY2716: $i] :
            ( ~ ( is_fun1661590463l_bool @ SV89 )
            | ~ ( is_fun1661590463l_bool @ SY2716 )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SY2716 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SY2716 ) @ SV89 ) )
            | ( SV89 = SY2716 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1453,plain,
    ! [SV90: $i] :
      ( ( ! [SY2717: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SY2717 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SY2717 ) @ SV90 ) )
            | ( SV90 = SY2717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1454,plain,
    ! [SV91: $i] :
      ( ( ! [SY2718: $i] :
            ( ~ ( is_fun_pname_bool @ SV91 )
            | ~ ( is_fun_pname_bool @ SY2718 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SY2718 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2718 ) @ SV91 ) )
            | ( SV91 = SY2718 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1093]) ).

thf(1455,plain,
    ! [SV92: $i] :
      ( ( ! [SY2719: $i,SY2720: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2719 ) @ SY2720 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SY2719 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SY2720 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1094]) ).

thf(1456,plain,
    ! [SV93: $i] :
      ( ( ! [SY2721: $i,SY2722: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SY2721 ) @ SY2722 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SY2721 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SY2722 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1095]) ).

thf(1457,plain,
    ! [SV94: $i] :
      ( ( ! [SY2723: $i,SY2724: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SY2723 ) @ SY2724 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SY2723 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SY2724 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1096]) ).

thf(1458,plain,
    ! [SV95: $i] :
      ( ( ! [SY2725: $i,SY2726: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2725 ) @ SY2726 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SY2725 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SY2726 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1459,plain,
    ! [SV96: $i] :
      ( ( ! [SY2727: $i,SY2728: $i,SY2729: $i] :
            ( ( SY2727
             != ( hAPP_H356885323e_bool @ SY2728 @ SY2729 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2729 ) @ SV96 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2727 ) @ ( image_2131964411e_bool @ SY2728 @ SV96 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1098]) ).

thf(1460,plain,
    ! [SV97: $i] :
      ( ( ! [SY2730: $i,SY2731: $i,SY2732: $i] :
            ( ( SY2730
             != ( hAPP_H1049623551e_bool @ SY2731 @ SY2732 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2732 ) @ SV97 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2730 ) @ ( image_1828608335e_bool @ SY2731 @ SV97 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1099]) ).

thf(1461,plain,
    ! [SV98: $i] :
      ( ( ! [SY2733: $i,SY2734: $i,SY2735: $i] :
            ( ( SY2733
             != ( hAPP_p61793385e_bool @ SY2734 @ SY2735 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2735 ) @ SV98 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2733 ) @ ( image_47868345e_bool @ SY2734 @ SV98 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1462,plain,
    ! [SV99: $i] :
      ( ( ! [SY2736: $i,SY2737: $i,SY2738: $i] :
            ( ( SY2736
             != ( hAPP_p442853985e_bool @ SY2737 @ SY2738 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2738 ) @ SV99 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2736 ) @ ( image_70449425e_bool @ SY2737 @ SV99 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1463,plain,
    ! [SV100: $i] :
      ( ( ! [SY2739: $i,SY2740: $i,SY2741: $i] :
            ( ( SY2739
             != ( hAPP_f888949707_state @ SY2740 @ SY2741 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2741 ) @ SV100 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2739 ) @ ( image_516545147_state @ SY2740 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1464,plain,
    ! [SV101: $i] :
      ( ( ! [SY2742: $i,SY2743: $i,SY2744: $i] :
            ( ( SY2742
             != ( hAPP_f1387463497_state @ SY2743 @ SY2744 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2744 ) @ SV101 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2742 ) @ ( image_18964633_state @ SY2743 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1465,plain,
    ! [SV102: $i] :
      ( ( ! [SY2745: $i,SY2746: $i,SY2747: $i] :
            ( ( SY2745
             != ( hAPP_H1621176307_pname @ SY2746 @ SY2747 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2747 ) @ SV102 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2745 ) @ ( image_54689091_pname @ SY2746 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1466,plain,
    ! [SV103: $i] :
      ( ( ! [SY2748: $i,SY2749: $i,SY2750: $i] :
            ( ( SY2748
             != ( hAPP_pname_pname @ SY2749 @ SY2750 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2750 ) @ SV103 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2748 ) @ ( image_pname_pname @ SY2749 @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1467,plain,
    ! [SV104: $i] :
      ( ( ! [SY2751: $i,SY2752: $i,SY2753: $i] :
            ( ( SY2751
             != ( hAPP_f1297739591_pname @ SY2752 @ SY2753 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2753 ) @ SV104 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2751 ) @ ( image_1283814551_pname @ SY2752 @ SV104 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1106]) ).

thf(1468,plain,
    ! [SV105: $i] :
      ( ( ! [SY2754: $i,SY2755: $i,SY2756: $i] :
            ( ( SY2754
             != ( hAPP_f560369737_pname @ SY2755 @ SY2756 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2756 ) @ SV105 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2754 ) @ ( image_187965177_pname @ SY2755 @ SV105 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1469,plain,
    ! [SV106: $i] :
      ( ( ! [SY2757: $i,SY2758: $i,SY2759: $i] :
            ( ( SY2757
             != ( hAPP_p1422361149_state @ SY2758 @ SY2759 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2759 ) @ SV106 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2757 ) @ ( image_2003357581_state @ SY2758 @ SV106 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1470,plain,
    ! [SV107: $i] :
      ( ( ! [SY2760: $i] :
            ( ( SY2760 != bot_bo1649642514l_bool )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV107 ) @ SY2760 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1471,plain,
    ! [SV108: $i] :
      ( ( ! [SY2761: $i] :
            ( ( SY2761 != bot_bo535777328l_bool )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV108 ) @ SY2761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1472,plain,
    ! [SV109: $i] :
      ( ( ! [SY2762: $i] :
            ( ( SY2762 != bot_bo620288102e_bool )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV109 ) @ SY2762 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1473,plain,
    ! [SV110: $i] :
      ( ( ! [SY2763: $i] :
            ( ( SY2763 != bot_bo844097828e_bool )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV110 ) @ SY2763 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1474,plain,
    ! [SV111: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV111 ) @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1475,plain,
    ! [SV112: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV112 ) @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1476,plain,
    ! [SV113: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV113 ) @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1477,plain,
    ! [SV114: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV114 ) @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1478,plain,
    ! [SV115: $i] :
      ( ( ! [SY2764: $i] :
            ( ~ ( is_fun_pname_bool @ SY2764 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SY2764 ) )
            | ( ( insert_pname @ SV115 @ SY2764 )
              = SY2764 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1479,plain,
    ! [SV116: $i] :
      ( ( ! [SY2765: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV116 ) @ SY2765 ) )
            | ( ( insert1415133716_state @ SV116 @ SY2765 )
              = SY2765 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1480,plain,
    ! [SV117: $i] :
      ( ( ! [SY2766: $i,SY2767: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2766 ) @ SY2767 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2766 ) @ ( insert_pname @ SV117 @ SY2767 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1481,plain,
    ! [SV118: $i] :
      ( ( ! [SY2768: $i,SY2769: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2768 ) @ SY2769 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2768 ) @ ( insert1415133716_state @ SV118 @ SY2769 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1482,plain,
    ! [SV119: $i] :
      ( ( ! [SY2770: $i,SY2771: $i] :
            ( ( insert1415133716_state @ SV119 @ ( insert1415133716_state @ SY2770 @ SY2771 ) )
            = ( insert1415133716_state @ SY2770 @ ( insert1415133716_state @ SV119 @ SY2771 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1483,plain,
    ! [SV120: $i] :
      ( ( ! [SY2772: $i] :
            ( ( insert1415133716_state @ SV120 @ ( insert1415133716_state @ SV120 @ SY2772 ) )
            = ( insert1415133716_state @ SV120 @ SY2772 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1484,plain,
    ! [SV121: $i] :
      ( ( ! [SY2773: $i] :
            ( ( insert1415133716_state @ SV121 @ ( collec307967673_state @ SY2773 ) )
            = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fimplies @ ( cOMBB_2144135922_state @ fNot @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV121 ) ) ) @ SY2773 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1485,plain,
    ! [SV122: $i] :
      ( ( ! [SY2774: $i] :
            ( ( insert1415133716_state @ SV122 @ SY2774 )
            = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV122 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ SY2774 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1486,plain,
    ! [SV123: $i] :
      ( ( ! [SY2775: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV123 ) @ ( insert_pname @ SV123 @ SY2775 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1487,plain,
    ! [SV124: $i] :
      ( ( ! [SY2776: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV124 ) @ ( insert1415133716_state @ SV124 @ SY2776 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1488,plain,
    ! [SV125: $i] :
      ( ( ! [SY2777: $i,SY2778: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2777 ) @ SY2778 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2778 ) @ SV125 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2777 ) @ SV125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1489,plain,
    ! [SV126: $i] :
      ( ( ! [SY2779: $i,SY2780: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2779 ) @ SY2780 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2780 ) @ SV126 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2779 ) @ SV126 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1490,plain,
    ! [SV127: $i] :
      ( ( ! [SY2781: $i,SY2782: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2781 ) @ SY2782 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SY2781 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SY2782 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1491,plain,
    ! [SV128: $i] :
      ( ( ! [SY2783: $i,SY2784: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2783 ) @ SY2784 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SY2783 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SY2784 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1492,plain,
    ! [SV129: $i] :
      ( ( ! [SY2785: $i,SY2786: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2785 ) @ SY2786 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2786 ) @ SV129 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2785 ) @ SV129 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1493,plain,
    ! [SV130: $i] :
      ( ( ! [SY2787: $i,SY2788: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2787 ) @ SY2788 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2788 ) @ SV130 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2787 ) @ SV130 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1494,plain,
    ! [SV131: $i] :
      ( ( ! [SY2789: $i,SY2790: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2789 ) @ SY2790 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SY2789 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SY2790 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1495,plain,
    ! [SV132: $i] :
      ( ( ! [SY2791: $i,SY2792: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2791 ) @ SY2792 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SY2791 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SY2792 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1496,plain,
    ! [SV133: $i] :
      ( ( ! [SY2793: $i] :
            ( ( SV133 != SY2793 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2793 ) @ SV133 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1497,plain,
    ! [SV134: $i] :
      ( ( ! [SY2794: $i] :
            ( ( SV134 != SY2794 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2794 ) @ SV134 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1498,plain,
    ! [SV135: $i] :
      ( ( ! [SY2795: $i] :
            ( ( SV135 != SY2795 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV135 ) @ SY2795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1499,plain,
    ! [SV136: $i] :
      ( ( ! [SY2796: $i] :
            ( ( SV136 != SY2796 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV136 ) @ SY2796 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1500,plain,
    ! [SV137: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV137 ) @ SV137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1501,plain,
    ! [SV138: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV138 ) @ SV138 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1502,plain,
    ! [SV139: $i] :
      ( ( ! [SY2797: $i,SY2798: $i,SY2799: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2798 ) @ SY2799 ) )
            | ( SV139
             != ( hAPP_p1422361149_state @ SY2797 @ SY2798 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SY2797 @ SY2799 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1503,plain,
    ! [SV140: $i] :
      ( ( ! [SY2800: $i,SY2801: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2800 ) @ SY2801 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ SV140 @ SY2800 ) ) @ ( image_2003357581_state @ SV140 @ SY2801 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1504,plain,
    ! [SV141: $i] :
      ( ( ! [SY2802: $i] :
            ( ( insert1415133716_state @ SV141 @ SY2802 )
            = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV141 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ SY2802 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1505,plain,
    ! [SV142: $i] :
      ( ( ! [SY2803: $i] :
            ( ( ( insert1415133716_state @ SV142 @ bot_bo620288102e_bool )
             != ( insert1415133716_state @ SY2803 @ bot_bo620288102e_bool ) )
            | ( SV142 = SY2803 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1506,plain,
    ! [SV143: $i] :
      ( ( ! [SY2804: $i] :
            ( ~ ( is_pname @ SV143 )
            | ~ ( is_pname @ SY2804 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SY2804 @ bot_bo844097828e_bool ) ) )
            | ( SV143 = SY2804 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1507,plain,
    ! [SV144: $i] :
      ( ( ! [SY2805: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV144 ) @ ( insert1415133716_state @ SY2805 @ bot_bo620288102e_bool ) ) )
            | ( SV144 = SY2805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1508,plain,
    ! [SV145: $i] :
      ( ( ! [SY2806: $i] :
            ( ( insert1415133716_state @ SV145 @ SY2806 )
           != bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1509,plain,
    ! [SV146: $i] :
      ( ( ! [SY2807: $i] :
            ( bot_bo620288102e_bool
           != ( insert1415133716_state @ SV146 @ SY2807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1510,plain,
    ! [SV147: $i] :
      ( ( ( image_2003357581_state @ SV147 @ bot_bo844097828e_bool )
        = bot_bo620288102e_bool )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1511,plain,
    ! [SV148: $i] :
      ( ( ! [SY2808: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SY2808 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2808 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1512,plain,
    ! [SV149: $i] :
      ( ( ! [SY2809: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SY2809 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2809 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1198]) ).

thf(1513,plain,
    ! [SV150: $i] :
      ( ( ! [SY2810: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SY2810 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2810 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1514,plain,
    ! [SV151: $i] :
      ( ( ! [SY2811: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SY2811 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2811 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1200]) ).

thf(1515,plain,
    ! [SV152: $i] :
      ( ( ! [SY2812: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2812 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SY2812 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1516,plain,
    ! [SV153: $i] :
      ( ( ! [SY2813: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2813 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SY2813 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1517,plain,
    ! [SV154: $i] :
      ( ( ! [SY2814: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2814 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SY2814 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1518,plain,
    ! [SV155: $i] :
      ( ( ! [SY2815: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2815 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SY2815 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1204]) ).

thf(1519,plain,
    ! [SV156: $i] :
      ( ( ! [SY2816: $i,SY2817: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2816 ) @ SY2817 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV156 @ SY2816 ) ) @ ( insert_pname @ SV156 @ SY2817 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1205]) ).

thf(1520,plain,
    ! [SV157: $i] :
      ( ( ! [SY2818: $i,SY2819: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2818 ) @ SY2819 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV157 @ SY2818 ) ) @ ( insert1415133716_state @ SV157 @ SY2819 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1206]) ).

thf(1521,plain,
    ! [SV158: $i] :
      ( ( ! [SY2820: $i,SY2821: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2820 ) @ SY2821 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2820 ) @ ( insert_pname @ SV158 @ SY2821 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1522,plain,
    ! [SV159: $i] :
      ( ( ! [SY2822: $i,SY2823: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2822 ) @ SY2823 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2822 ) @ ( insert1415133716_state @ SV159 @ SY2823 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1523,plain,
    ! [SV160: $i] :
      ( ( ! [SY2824: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV160 ) @ ( insert_pname @ SY2824 @ SV160 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1524,plain,
    ! [SV161: $i] :
      ( ( ! [SY2825: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV161 ) @ ( insert1415133716_state @ SY2825 @ SV161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1525,plain,
    ! [SV162: $i] :
      ( ( ! [SY2826: $i,SY2827: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2826 ) @ SY2827 ) )
            | ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV162 @ SY2826 ) @ ( image_2003357581_state @ SV162 @ SY2827 ) )
              = ( image_2003357581_state @ SV162 @ SY2827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1526,plain,
    ! [SV163: $i] :
      ( ( ! [SY2828: $i,SY2829: $i] :
            ( ( image_2003357581_state @ SV163 @ ( insert_pname @ SY2828 @ SY2829 ) )
            = ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV163 @ SY2828 ) @ ( image_2003357581_state @ SV163 @ SY2829 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1527,plain,
    ! [SV164: $i] :
      ( ( ! [SY2830: $i,SY2831: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2830 ) @ SY2831 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ SV164 @ SY2830 ) ) @ ( image_2003357581_state @ SV164 @ SY2831 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1219]) ).

thf(1528,plain,
    ! [SV165: $i] :
      ( ( ! [SY2832: $i] :
            ( ! [SY2833: $i] :
                ( ( hAPP_p799580910on_com @ SV165 @ SY2832 )
               != ( some_com @ SY2833 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2832 ) @ ( dom_pname_com @ SV165 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1529,plain,
    ! [SV166: $i] :
      ( ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV166 ) )
        = ( insert1415133716_state @ SV166 @ bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1230]) ).

thf(1530,plain,
    ! [SV167: $i] :
      ( ( ( collec307967673_state @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV167 ) )
        = ( insert1415133716_state @ SV167 @ bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1231]) ).

thf(1531,plain,
    ( ( ( ~ ( hBOOL @ wT_bodies ) )
      = $true )
    | ( ( ! [Pn: $i,B_2: $i] :
            ( ( ( hAPP_p799580910on_com @ body @ Pn )
             != ( some_com @ B_2 ) )
            | ( hBOOL @ ( wt @ B_2 ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1233]) ).

thf(1532,plain,
    ! [SV168: $i] :
      ( ( ~ ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ SV168 ) ) )
        | ( ( hAPP_p799580910on_com @ body @ SV168 )
          = ( some_com @ ( sK4_Y_1 @ SV168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1533,plain,
    ! [SV169: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV169 ) )
        | ~ ( hBOOL @ SV169 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1534,plain,
    ! [SV170: $i] :
      ( ( ( hBOOL @ SV170 )
        | ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV170 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1246]) ).

thf(1535,plain,
    ! [SV171: $i] :
      ( ( ! [SY2834: $i] :
            ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SY2834 ) @ SV171 ) )
            | ~ ( hBOOL @ SY2834 )
            | ~ ( hBOOL @ SV171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1536,plain,
    ! [SV172: $i] :
      ( ( ! [SY2835: $i] :
            ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV172 ) @ SY2835 ) )
        | ( hBOOL @ SV172 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1537,plain,
    ! [SV173: $i] :
      ( ( ! [SY2836: $i] :
            ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV173 ) @ SY2836 ) )
            | ( hBOOL @ SY2836 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1538,plain,
    ! [SV174: $i] :
      ( ( ! [SY2837: $i] :
            ( ~ ( hBOOL @ SY2837 )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SY2837 ) @ SV174 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1539,plain,
    ! [SV175: $i] :
      ( ( ! [SY2838: $i] :
            ( ~ ( hBOOL @ SY2838 )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV175 ) @ SY2838 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1540,plain,
    ! [SV176: $i] :
      ( ( ! [SY2839: $i] :
            ( ( hBOOL @ SY2839 )
            | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV176 ) @ SY2839 ) )
            | ( hBOOL @ SV176 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1252]) ).

thf(1541,plain,
    ( ( hBOOL @ fFalse )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1542,plain,
    ! [SV177: $i] :
      ( ( ! [SY2840: $i] :
            ( ( hBOOL @ SY2840 )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SY2840 ) @ SV177 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1543,plain,
    ! [SV178: $i] :
      ( ( ! [SY2841: $i] :
            ( ~ ( hBOOL @ SY2841 )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV178 ) @ SY2841 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1544,plain,
    ! [SV179: $i] :
      ( ( ! [SY2842: $i] :
            ( ( hBOOL @ SY2842 )
            | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SY2842 ) )
            | ~ ( hBOOL @ SV179 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1545,plain,
    ! [SV180: $i] :
      ( ( ! [SY2843: $i] :
            ( ~ ( is_pname @ SV180 )
            | ~ ( is_pname @ SY2843 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SY2843 ) )
            | ( SV180 = SY2843 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1546,plain,
    ! [SV181: $i] :
      ( ( ! [SY2844: $i] :
            ( ( SV181 != SY2844 )
            | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV181 ) @ SY2844 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1547,plain,
    ! [SV182: $i] :
      ( ( ! [SY2845: $i] :
            ( ~ ( is_fun_pname_bool @ SV182 )
            | ~ ( is_fun_pname_bool @ SY2845 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SY2845 ) )
            | ( SV182 = SY2845 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1548,plain,
    ! [SV183: $i] :
      ( ( ! [SY2846: $i] :
            ( ( SV183 != SY2846 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV183 ) @ SY2846 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1549,plain,
    ! [SV184: $i] :
      ( ( ! [SY2847: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV184 ) @ SY2847 ) )
            | ( SV184 = SY2847 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1550,plain,
    ! [SV185: $i] :
      ( ( ! [SY2848: $i] :
            ( ( SV185 != SY2848 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV185 ) @ SY2848 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1551,plain,
    ! [SV186: $i] :
      ( ( ! [SY2849: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV186 ) @ SY2849 ) )
            | ( SV186 = SY2849 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1263]) ).

thf(1552,plain,
    ! [SV187: $i] :
      ( ( ! [SY2850: $i] :
            ( ( SV187 != SY2850 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV187 ) @ SY2850 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1553,plain,
    ! [SV188: $i] :
      ( ( ! [SY2851: $i,SY2852: $i] :
            ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ SV188 @ SY2851 ) @ SY2852 )
            = ( hAPP_c1126217667_state @ SV188 @ ( hAPP_pname_com @ SY2851 @ SY2852 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1265]) ).

thf(1554,plain,
    ! [SV189: $i] :
      ( ( ~ ( is_bool @ SV189 )
        | ! [SY2853: $i] :
            ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ SV189 ) @ SY2853 )
            = SV189 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1555,plain,
    ! [SV190: $i] :
      ( ( ! [SY2854: $i,SY2855: $i] :
            ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ SV190 @ SY2854 ) @ SY2855 )
            = ( hAPP_bool_bool @ SV190 @ ( hAPP_f971112728l_bool @ SY2854 @ SY2855 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1267]) ).

thf(1556,plain,
    ! [SV191: $i] :
      ( ( ! [SY2856: $i,SY2857: $i] :
            ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ SV191 @ SY2856 ) @ SY2857 )
            = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ SV191 @ SY2857 ) @ ( hAPP_f971112728l_bool @ SY2856 @ SY2857 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1557,plain,
    ! [SV192: $i] :
      ( ( ! [SY2858: $i,SY2859: $i] :
            ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ SV192 @ SY2858 ) @ SY2859 )
            = ( hAPP_b589554111l_bool @ SV192 @ ( hAPP_f971112728l_bool @ SY2858 @ SY2859 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1558,plain,
    ! [SV193: $i] :
      ( ( ! [SY2860: $i,SY2861: $i] :
            ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ SV193 ) @ SY2860 ) @ SY2861 )
            = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ SV193 @ SY2861 ) @ SY2860 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1559,plain,
    ! [SV194: $i] :
      ( ( ! [SY2862: $i,SY2863: $i] :
            ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ SV194 ) @ SY2862 ) @ SY2863 )
            = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ SV194 @ SY2863 ) @ SY2862 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1560,plain,
    ! [SV195: $i] :
      ( ( ! [SY2864: $i,SY2865: $i] :
            ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ SV195 ) @ SY2864 ) @ SY2865 )
            = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ SV195 @ SY2865 ) @ SY2864 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1561,plain,
    ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( image_2003357581_state @ ( cOMBB_699532858_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1562,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX1 )
            | ( SX1 != bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX1 )
            | ( SX1 = bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1274]) ).

thf(1563,plain,
    ! [SV196: $i] :
      ( ( ~ ( ~ ! [SY2866: $i,SY2867: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2867 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2866 ) @ SY2867 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2866 ) ) @ SY2867 ) ) )
            | ~ ~ ( ~ ! [SY2868: $i,SY2869: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) )
                  | ~ ! [SY2870: $i,SY2871: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1564,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo620288102e_bool )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) )
            | ( SX0 = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1276]) ).

thf(1565,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1277]) ).

thf(1566,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
              = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1278]) ).

thf(1567,plain,
    ! [SV197: $i] :
      ( ( ! [SY2872: $i,SY2873: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SY2872 @ SY2873 ) ) )
            | ~ ( ~ ( is_pname @ ( sK13_X_1 @ SY2873 @ SY2872 @ SV197 ) )
                | ~ ~ ( ( SV197
                       != ( hAPP_p1422361149_state @ SY2872 @ ( sK13_X_1 @ SY2873 @ SY2872 @ SV197 ) ) )
                      | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SY2873 @ SY2872 @ SV197 ) ) @ SY2873 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1568,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1280]) ).

thf(1569,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1281]) ).

thf(1570,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ! [SY2874: $i] :
                  ( ~ ( is_pname @ SV198 )
                  | ~ ( is_pname @ SY2874 )
                  | ! [SY2875: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2874 @ SY2875 ) ) )
                      | ( SV198 = SY2874 )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2875 ) ) ) )
            | ~ ~ ( ~ ! [SY2876: $i] :
                        ( ~ ( is_pname @ SV198 )
                        | ~ ( is_pname @ SY2876 )
                        | ( SV198 != SY2876 )
                        | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) )
                  | ~ ! [SY2878: $i] :
                        ( ~ ( is_pname @ SV198 )
                        | ~ ( is_pname @ SY2878 )
                        | ! [SY2879: $i] :
                            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1571,plain,
    ! [SV199: $i] :
      ( ( ! [SY2880: $i] :
            ( ~ ( ~ ( is_pname @ ( sK3_X_1 @ SY2880 @ SV199 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SY2880 @ SV199 ) ) @ SY2880 ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SY2880 @ SV199 ) ) @ SV199 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2880 ) @ SV199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1572,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK31_X_1 @ SX0 ) ) ) )
            | ( ( collect_pname @ SX0 )
              = bot_bo844097828e_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collect_pname @ SX0 )
             != bot_bo844097828e_bool )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1284]) ).

thf(1573,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
              = bot_bo1649642514l_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
              = ( insert1325755072e_bool @ SX0 @ bot_bo1649642514l_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1285]) ).

thf(1574,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = bot_bo535777328l_bool )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SX0 ) ) @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 != bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1286]) ).

thf(1575,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( ( image_2003357581_state @ SX0 @ SX1 )
             != bot_bo620288102e_bool )
            | ( SX1 = bot_bo844097828e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ SX0 @ SX1 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1287]) ).

thf(1576,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
              = bot_bo844097828e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
              = ( insert_pname @ SX0 @ bot_bo844097828e_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1288]) ).

thf(1577,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK25_X_1 @ SX0 ) ) ) )
            | ( bot_bo844097828e_bool
              = ( collect_pname @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo844097828e_bool
             != ( collect_pname @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1289]) ).

thf(1578,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( bot_bo620288102e_bool
             != ( image_2003357581_state @ SX0 @ SX1 ) )
            | ( SX1 = bot_bo844097828e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( bot_bo620288102e_bool
              = ( image_2003357581_state @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1290]) ).

thf(1579,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK27_X_1 @ SX0 ) ) ) )
            | ( bot_bo1649642514l_bool
              = ( collec1974731493e_bool @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo1649642514l_bool
             != ( collec1974731493e_bool @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1291]) ).

thf(1580,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SX0 ) ) @ SX0 ) )
            | ( SX0 = bot_bo535777328l_bool ) )
      | ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo535777328l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1292]) ).

thf(1581,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1293]) ).

thf(1582,plain,
    ( ( ( ~ ( hBOOL @ hoare_165779456gleton ) )
      = $true )
    | ( ( ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SX1 @ SX0 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SX1 @ SX0 ) ) @ ( dom_pname_com @ body ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SX1 @ SX0 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
            | ~ ( hBOOL @ ( wt @ SX0 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SX0 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1294]) ).

thf(1583,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1584,plain,
    ! [SV200: $i] :
      ( ( ! [SY2881: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2882: $i,SY2883: $i] :
                                ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                                 != ( insert1415133716_state @ SY2882 @ ( insert1415133716_state @ SY2883 @ bot_bo620288102e_bool ) ) )
                                | ( SV200 = SY2882 )
                                | ( SV200 = SY2883 ) )
                          | ~ ! [SY2884: $i] :
                                ( ! [SY2885: $i] :
                                    ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                                   != ( insert1415133716_state @ SY2884 @ ( insert1415133716_state @ SY2885 @ bot_bo620288102e_bool ) ) )
                                | ( SV200 = SY2884 )
                                | ( SY2881 = SY2884 ) ) )
                    | ~ ~ ( ~ ! [SY2886: $i,SY2887: $i] :
                                ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                                 != ( insert1415133716_state @ SY2886 @ ( insert1415133716_state @ SY2887 @ bot_bo620288102e_bool ) ) )
                                | ( SY2881 = SY2887 )
                                | ( SV200 = SY2887 ) )
                          | ~ ! [SY2888: $i,SY2889: $i] :
                                ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                                 != ( insert1415133716_state @ SY2888 @ ( insert1415133716_state @ SY2889 @ bot_bo620288102e_bool ) ) )
                                | ( SY2881 = SY2889 )
                                | ( SY2881 = SY2888 ) ) ) )
              | ~ ~ ( ~ ! [SY2890: $i,SY2891: $i] :
                          ( ( SV200 != SY2890 )
                          | ( SY2881 != SY2891 )
                          | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                            = ( insert1415133716_state @ SY2890 @ ( insert1415133716_state @ SY2891 @ bot_bo620288102e_bool ) ) ) )
                    | ~ ! [SY2892: $i,SY2893: $i] :
                          ( ( SV200 != SY2893 )
                          | ( SY2881 != SY2892 )
                          | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SY2881 @ bot_bo620288102e_bool ) )
                            = ( insert1415133716_state @ SY2892 @ ( insert1415133716_state @ SY2893 @ bot_bo620288102e_bool ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1585,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK33_X_1 @ SX0 ) ) ) )
            | ( ( collec1974731493e_bool @ SX0 )
              = bot_bo1649642514l_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collec1974731493e_bool @ SX0 )
             != bot_bo1649642514l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1586,plain,
    ! [SV201: $i] :
      ( ( ! [SY2894: $i,SY2895: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2895 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2895 ) @ SY2894 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SY2895 @ SY2894 @ SV201 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SY2895 @ SY2894 @ SV201 ) ) @ SY2894 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SY2895 @ SY2894 @ SV201 ) ) @ ( sK10_SY2603 @ SY2895 @ SY2894 @ SV201 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SY2895 @ SY2894 @ SV201 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SY2895 @ SY2894 @ SV201 ) @ ( sK10_SY2603 @ SY2895 @ SY2894 @ SV201 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SY2895 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1587,plain,
    ! [SV202: $i] :
      ( ( ! [SY2896: $i,SY2897: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2897 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2897 ) @ SY2896 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
            | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SY2897 @ SY2896 @ SV202 ) )
                      | ~ ( is_pname @ ( sK11_A_1 @ SY2897 @ SY2896 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SY2897 @ SY2896 @ SV202 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SY2897 @ SY2896 @ SV202 ) ) @ SY2896 ) )
                            | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SY2897 @ SY2896 @ SV202 ) ) @ ( sK12_SY2604 @ SY2897 @ SY2896 @ SV202 ) ) )
                                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SY2897 @ SY2896 @ SV202 ) ) )
                                        | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SY2897 @ SY2896 @ SV202 ) @ ( sK12_SY2604 @ SY2897 @ SY2896 @ SV202 ) ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SY2897 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1588,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1589,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK28_X_1 @ SX0 ) ) )
            | ( bot_bo535777328l_bool
              = ( collec1823980261e_bool @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo535777328l_bool
             != ( collec1823980261e_bool @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1301]) ).

thf(1590,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 != bot_bo844097828e_bool )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) )
            | ( SX0 = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1591,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1303]) ).

thf(1592,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1593,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK30_X_1 @ SX0 ) ) ) )
            | ( bot_bo1537088220l_bool
              = ( collec1613912337l_bool @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo1537088220l_bool
             != ( collec1613912337l_bool @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1594,plain,
    ! [SV203: $i] :
      ( ( ! [SY2898: $i,SY2899: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY2899 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2899 ) @ ( image_2003357581_state @ SV203 @ SY2898 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SY2899 @ SY2898 @ SV203 ) ) @ SY2898 ) )
                            | ~ ( is_fun_pname_bool @ ( sK1_C @ SY2899 @ SY2898 @ SV203 ) ) )
                      | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SY2899 @ SY2898 @ SV203 ) ) ) )
                | ( SY2899
                 != ( image_2003357581_state @ SV203 @ ( sK1_C @ SY2899 @ SY2898 @ SV203 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1595,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
              = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1596,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
              = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1597,plain,
    ! [SV204: $i] :
      ( ( ~ ( ~ ! [SY2900: $i,SY2901: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ SY2901 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ ( insert1415133716_state @ SV204 @ SY2901 ) ) ) )
            | ~ ! [SY2902: $i] :
                  ( ( SY2902 != SV204 )
                  | ! [SY2903: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2902 ) @ ( insert1415133716_state @ SV204 @ SY2903 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1598,plain,
    ! [SV205: $i] :
      ( ( ~ ( ~ ! [SY2904: $i,SY2905: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ SY2905 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ ( insert_pname @ SV205 @ SY2905 ) ) ) )
            | ~ ! [SY2906: $i] :
                  ( ( SY2906 != SV205 )
                  | ! [SY2907: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2906 ) @ ( insert_pname @ SV205 @ SY2907 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1599,plain,
    ! [SV206: $i] :
      ( ( ~ ( ~ ! [SY2908: $i] :
                  ( ! [SY2909: $i] :
                      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ SY2909 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ bot_bo620288102e_bool ) ) ) )
            | ~ ! [SY2910: $i,SY2911: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2910 @ SY2911 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SY2911 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1311]) ).

thf(1600,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
              = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1601,plain,
    ! [SV207: $i] :
      ( ( ! [SY2912: $i,SY2913: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2913 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SY2913 ) @ SY2912 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SY2913 @ SY2912 @ SV207 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SY2913 @ SY2912 @ SV207 ) ) @ SY2912 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SY2913 @ SY2912 @ SV207 ) ) @ ( sK6_SY2601 @ SY2913 @ SY2912 @ SV207 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SY2913 @ SY2912 @ SV207 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SY2913 @ SY2912 @ SV207 ) @ ( sK6_SY2601 @ SY2913 @ SY2912 @ SV207 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SY2913 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1602,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1603,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK36_X_1 @ SX0 ) ) ) )
            | ( ( collec1613912337l_bool @ SX0 )
              = bot_bo1537088220l_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collec1613912337l_bool @ SX0 )
             != bot_bo1537088220l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1604,plain,
    ! [SV208: $i] :
      ( ( ~ ( ~ ! [SY2914: $i,SY2915: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ SY2915 ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ ( insert1325755072e_bool @ SV208 @ SY2915 ) ) ) )
            | ~ ! [SY2916: $i] :
                  ( ( SY2916 != SV208 )
                  | ! [SY2917: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2916 ) @ ( insert1325755072e_bool @ SV208 @ SY2917 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1605,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 = bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1606,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1318]) ).

thf(1607,plain,
    ! [SV209: $i] :
      ( ( ~ ( ~ ! [SY2918: $i,SY2919: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2918 @ SY2919 ) ) )
                  | ( SV209 = SY2918 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2919 ) ) )
            | ~ ~ ( ~ ! [SY2920: $i] :
                        ( ( SV209 != SY2920 )
                        | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) )
                  | ~ ! [SY2922: $i,SY2923: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
                        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1608,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1609,plain,
    ! [SV210: $i] :
      ( ( ~ ( ~ ! [SY2924: $i,SY2925: $i] :
                  ( ! [SY2926: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2926 ) @ SY2925 ) )
                      | ~ ( is_fun_pname_bool @ SY2926 )
                      | ( SV210
                       != ( image_2003357581_state @ SY2924 @ SY2926 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2924 @ SY2925 ) ) ) )
            | ~ ! [SY2927: $i,SY2928: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2927 @ SY2928 ) ) )
                  | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) @ SY2928 ) )
                            | ~ ( is_fun_pname_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) )
                      | ( SV210
                       != ( image_2003357581_state @ SY2927 @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1610,plain,
    ! [SV211: $i] :
      ( ( ~ ( ~ ! [SY2929: $i,SY2930: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2929 ) @ SY2930 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ ( insert1415133716_state @ SY2929 @ SV211 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ SV211 ) ) )
            | ~ ! [SY2931: $i,SY2932: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2931 ) @ SY2932 ) )
                  | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ SV211 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ ( insert1415133716_state @ SY2931 @ SV211 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1611,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1612,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SX0 ) ) @ SX0 ) ) )
            | ( SX0 = bot_bo1649642514l_bool ) )
      | ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ( SX0 != bot_bo1649642514l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1613,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ( SX0 = bot_bo1649642514l_bool )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SX0 ) ) @ SX0 ) )
                | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) )
                | ~ ( is_fun_pname_bool @ SX1 ) )
            | ( SX0 != bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1325]) ).

thf(1614,plain,
    ! [SV212: $i] :
      ( ( ~ ( ~ ! [SY2933: $i,SY2934: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ SY2934 ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ ( insert1556680138e_bool @ SV212 @ SY2934 ) ) ) )
            | ~ ! [SY2935: $i] :
                  ( ( SY2935 != SV212 )
                  | ! [SY2936: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2935 ) @ ( insert1556680138e_bool @ SV212 @ SY2936 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1615,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1327]) ).

thf(1616,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1328]) ).

thf(1617,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1329]) ).

thf(1618,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ! [SY2937: $i,SY2938: $i] :
                  ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2937 ) @ SY2938 ) )
                  | ( SV213 = SY2938 )
                  | ( hBOOL @ ( hAPP_H78829294e_bool @ SY2937 @ SY2938 ) ) )
            | ~ ~ ( ~ ! [SY2939: $i,SY2940: $i] :
                        ( ( SV213 != SY2940 )
                        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) )
                  | ~ ! [SY2941: $i,SY2942: $i] :
                        ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
                        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1619,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1331]) ).

thf(1620,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1332]) ).

thf(1621,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1622,plain,
    ! [SV214: $i] :
      ( ( ~ ( ~ ! [SY2943: $i,SY2944: $i] :
                  ( ~ ( is_pname @ SV214 )
                  | ~ ( is_pname @ SY2944 )
                  | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2943 ) @ SY2944 ) )
                  | ( SV214 = SY2944 )
                  | ( hBOOL @ ( hAPP_pname_bool @ SY2943 @ SY2944 ) ) )
            | ~ ~ ( ~ ! [SY2945: $i,SY2946: $i] :
                        ( ~ ( is_pname @ SV214 )
                        | ~ ( is_pname @ SY2946 )
                        | ( SV214 != SY2946 )
                        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) )
                  | ~ ! [SY2947: $i,SY2948: $i] :
                        ( ~ ( is_pname @ SV214 )
                        | ~ ( is_pname @ SY2948 )
                        | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
                        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1623,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1624,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK35_X_1 @ SX0 ) ) )
            | ( ( collec488126193l_bool @ SX0 )
              = bot_bo1761158942l_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collec488126193l_bool @ SX0 )
             != bot_bo1761158942l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1336]) ).

thf(1625,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
              = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1337]) ).

thf(1626,plain,
    ! [SV215: $i] :
      ( ( ~ ( ~ ! [SY2949: $i,SY2950: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2950 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2949 ) @ SY2950 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2949 ) ) @ SY2950 ) ) )
            | ~ ~ ( ~ ! [SY2951: $i,SY2952: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) )
                  | ~ ! [SY2953: $i,SY2954: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1627,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK32_X_1 @ SX0 ) ) )
            | ( ( collec307967673_state @ SX0 )
              = bot_bo620288102e_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collec307967673_state @ SX0 )
             != bot_bo620288102e_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1339]) ).

thf(1628,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK29_X_1 @ SX0 ) ) )
            | ( bot_bo1761158942l_bool
              = ( collec488126193l_bool @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo1761158942l_bool
             != ( collec488126193l_bool @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1340]) ).

thf(1629,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX1 )
                  | ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX1 )
                  | ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1341]) ).

thf(1630,plain,
    ! [SV216: $i] :
      ( ( ! [SY2955: $i,SY2956: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2956 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SY2956 ) @ SY2955 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
            | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SY2956 @ SY2955 @ SV216 ) )
                      | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SY2956 @ SY2955 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SY2956 @ SY2955 @ SV216 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SY2956 @ SY2955 @ SV216 ) ) @ SY2955 ) )
                            | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SY2956 @ SY2955 @ SV216 ) ) @ ( sK8_SY2602 @ SY2956 @ SY2955 @ SV216 ) ) )
                                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SY2956 @ SY2955 @ SV216 ) ) )
                                        | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SY2956 @ SY2955 @ SV216 ) @ ( sK8_SY2602 @ SY2956 @ SY2955 @ SV216 ) ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SY2956 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1631,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
              = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1343]) ).

thf(1632,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( ( hAPP_pname_com @ body_1 @ SX0 )
             != ( hAPP_pname_com @ body_1 @ SX1 ) )
            | ( SX0 = SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( SX0 != SX1 )
            | ( ( hAPP_pname_com @ body_1 @ SX0 )
              = ( hAPP_pname_com @ body_1 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1344]) ).

thf(1633,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SX0 ) ) @ SX0 ) )
            | ( SX0 = bot_bo620288102e_bool ) )
      | ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo620288102e_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1345]) ).

thf(1634,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
              = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1346]) ).

thf(1635,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( ~ ( is_pname @ ( sK17_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SX0 ) ) @ SX0 ) ) )
            | ( SX0 = bot_bo844097828e_bool ) )
      | ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 != bot_bo844097828e_bool )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1347]) ).

thf(1636,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK34_X_1 @ SX0 ) ) )
            | ( ( collec1823980261e_bool @ SX0 )
              = bot_bo535777328l_bool ) )
      | ~ ! [SX0: $i] :
            ( ( ( collec1823980261e_bool @ SX0 )
             != bot_bo535777328l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1348]) ).

thf(1637,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1349]) ).

thf(1638,plain,
    ! [SV217: $i] :
      ( ( ~ ( ~ ! [SY2957: $i,SY2958: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SY2958 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SV217 ) )
                  | ( ( insert1415133716_state @ SY2957 @ SY2958 )
                   != ( insert1415133716_state @ SY2957 @ SV217 ) )
                  | ( SY2958 = SV217 ) )
            | ~ ! [SY2959: $i,SY2960: $i] :
                  ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SY2960 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SV217 ) )
                  | ( SY2960 != SV217 )
                  | ( ( insert1415133716_state @ SY2959 @ SY2960 )
                    = ( insert1415133716_state @ SY2959 @ SV217 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1639,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1351]) ).

thf(1640,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = bot_bo620288102e_bool )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SX0 ) ) @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
            | ( SX0 != bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1352]) ).

thf(1641,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK26_X_1 @ SX0 ) ) )
            | ( bot_bo620288102e_bool
              = ( collec307967673_state @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( bot_bo620288102e_bool
             != ( collec307967673_state @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1353]) ).

thf(1642,plain,
    ! [SV218: $i] :
      ( ( ~ ( ~ ! [SY2961: $i,SY2962: $i] :
                  ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2961 ) @ SY2962 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ ( insert_pname @ SY2961 @ SV218 ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ SV218 ) ) )
            | ~ ! [SY2963: $i,SY2964: $i] :
                  ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2963 ) @ SY2964 ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ SV218 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ ( insert_pname @ SY2963 @ SV218 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1643,plain,
    ! [SV219: $i] :
      ( ( ~ ( ~ ! [SY2965: $i,SY2966: $i] :
                  ( ~ ( is_fun_pname_bool @ SV219 )
                  | ~ ( is_fun_pname_bool @ SY2966 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SY2966 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SV219 ) )
                  | ( ( insert_pname @ SY2965 @ SY2966 )
                   != ( insert_pname @ SY2965 @ SV219 ) )
                  | ( SY2966 = SV219 ) )
            | ~ ! [SY2967: $i,SY2968: $i] :
                  ( ~ ( is_fun_pname_bool @ SV219 )
                  | ~ ( is_fun_pname_bool @ SY2968 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SY2968 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SV219 ) )
                  | ( SY2968 != SV219 )
                  | ( ( insert_pname @ SY2967 @ SY2968 )
                    = ( insert_pname @ SY2967 @ SV219 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1644,plain,
    ! [SV220: $i] :
      ( ( ~ ( ~ ! [SY2969: $i,SY2970: $i] :
                  ( ! [SY2971: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2971 ) @ SY2970 ) )
                      | ~ ( is_pname @ SY2971 )
                      | ( SV220
                       != ( hAPP_p1422361149_state @ SY2969 @ SY2971 ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2969 @ SY2970 ) ) ) )
            | ~ ! [SY2972: $i,SY2973: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2972 @ SY2973 ) ) )
                  | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) @ SY2973 ) )
                            | ~ ( is_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) )
                      | ( SV220
                       != ( hAPP_p1422361149_state @ SY2972 @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1645,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
              = bot_bo535777328l_bool ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
              = ( insert1556680138e_bool @ SX0 @ bot_bo535777328l_bool ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1357]) ).

thf(1646,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
              = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1647,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 = bot_bo844097828e_bool )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SX0 ) ) @ SX0 ) )
                | ~ ( is_pname @ ( sK21_X_1 @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
                | ~ ( is_pname @ SX1 ) )
            | ( SX0 != bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1359]) ).

thf(1648,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1649,plain,
    ! [SV221: $i] :
      ( ( ! [SY2974: $i] :
            ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SY2974 @ SV221 ) ) @ SY2974 ) )
                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SY2974 @ SV221 ) ) @ SV221 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2974 ) @ SV221 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1650,plain,
    ! [SV222: $i,SV2: $i] :
      ( ( is_bool @ ( hAPP_f971112728l_bool @ SV2 @ SV222 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1651,plain,
    ! [SV223: $i,SV4: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV4 ) @ SV223 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV223 ) @ SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1652,plain,
    ! [SV5: $i,SV224: $i] :
      ( ( ! [SY2975: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SY2975 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SY2975 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1653,plain,
    ! [SV6: $i,SV225: $i] :
      ( ( ! [SY2976: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SY2976 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SY2976 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1654,plain,
    ! [SV7: $i,SV226: $i] :
      ( ( ! [SY2977: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SY2977 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SY2977 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1655,plain,
    ! [SV8: $i,SV227: $i] :
      ( ( ! [SY2978: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SY2978 @ bot_bo620288102e_bool ) ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SY2978 @ SV8 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1370]) ).

thf(1656,plain,
    ! [SV228: $i,SV9: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ SV228 ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ SV9 ) ) ) @ bot_bo620288102e_bool ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV228 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1657,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV10 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ ord_le313189616e_bool ) @ SV10 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1372]) ).

thf(1658,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV11 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1373]) ).

thf(1659,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV12 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ SV12 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1374]) ).

thf(1660,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV13 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ SV13 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1375]) ).

thf(1661,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV14 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ SV14 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1376]) ).

thf(1662,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV15 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( hAPP_f510955609l_bool @ ( cOMBC_7971162l_bool @ ord_le675606854l_bool ) @ SV15 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1377]) ).

thf(1663,plain,
    ! [SV16: $i,SV229: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV229 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ SV16 @ SV229 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1664,plain,
    ! [SV17: $i,SV230: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV230 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ SV17 @ SV230 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1665,plain,
    ! [SV18: $i,SV231: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV231 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ SV18 @ SV231 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1666,plain,
    ! [SV19: $i,SV232: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV232 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ SV19 @ SV232 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1381]) ).

thf(1667,plain,
    ! [SV20: $i,SV233: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV233 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ SV20 @ SV233 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1668,plain,
    ! [SV21: $i,SV234: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV234 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ SV21 @ SV234 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1669,plain,
    ! [SV22: $i,SV235: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV235 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ SV22 @ SV235 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1670,plain,
    ! [SV23: $i,SV236: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV236 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ SV23 @ SV236 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1385]) ).

thf(1671,plain,
    ! [SV24: $i,SV237: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV237 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ SV24 @ SV237 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1672,plain,
    ! [SV25: $i,SV238: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV238 ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ SV25 @ SV238 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1387]) ).

thf(1673,plain,
    ! [SV26: $i,SV239: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV239 ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ SV26 @ SV239 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1388]) ).

thf(1674,plain,
    ! [SV27: $i,SV240: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV240 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ SV27 @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1675,plain,
    ! [SV28: $i,SV241: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV241 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ SV28 @ SV241 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1390]) ).

thf(1676,plain,
    ! [SV29: $i,SV242: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV242 ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ SV29 @ SV242 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1391]) ).

thf(1677,plain,
    ! [SV30: $i,SV243: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV243 ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ SV30 @ SV243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1392]) ).

thf(1678,plain,
    ! [SV31: $i,SV244: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV244 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ SV31 @ SV244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1679,plain,
    ! [SV32: $i,SV245: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV245 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ SV32 @ SV245 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1394]) ).

thf(1680,plain,
    ! [SV33: $i,SV246: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV246 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ SV33 @ SV246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1395]) ).

thf(1681,plain,
    ! [SV34: $i,SV247: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV247 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ SV34 @ SV247 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1396]) ).

thf(1682,plain,
    ! [SV39: $i,SV248: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV248 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV39 @ SV248 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1683,plain,
    ! [SV40: $i,SV249: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV249 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV40 @ SV249 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1684,plain,
    ! [SV41: $i,SV250: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV250 ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ SV41 @ SV250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1403]) ).

thf(1685,plain,
    ! [SV42: $i,SV251: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV251 ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ SV42 @ SV251 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1404]) ).

thf(1686,plain,
    ! [SV43: $i,SV252: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV252 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV43 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1405]) ).

thf(1687,plain,
    ! [SV44: $i,SV253: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV253 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV44 @ SV253 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1406]) ).

thf(1688,plain,
    ! [SV45: $i,SV254: $i] :
      ( ( ! [SY2979: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV254 ) @ SY2979 ) )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV45 ) @ SY2979 )
              = ( insert1415133716_state @ SV45 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1689,plain,
    ! [SV46: $i,SV255: $i] :
      ( ( ! [SY2980: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV255 ) @ SY2980 ) )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV46 ) @ SY2980 )
              = ( insert_pname @ SV46 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1408]) ).

thf(1690,plain,
    ! [SV47: $i,SV256: $i] :
      ( ( ! [SY2981: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV256 ) @ SY2981 ) )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV47 ) @ SY2981 )
              = ( insert1325755072e_bool @ SV47 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1691,plain,
    ! [SV48: $i,SV257: $i] :
      ( ( ! [SY2982: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV257 ) @ SY2982 ) )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV48 ) @ SY2982 )
              = ( insert1556680138e_bool @ SV48 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1410]) ).

thf(1692,plain,
    ! [SV49: $i,SV258: $i] :
      ( ( ! [SY2983: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV258 ) @ SY2983 ) )
            | ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ SV49 ) @ SY2983 )
              = ( insert1325755072e_bool @ SV49 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1411]) ).

thf(1693,plain,
    ! [SV50: $i,SV259: $i] :
      ( ( ! [SY2984: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV259 ) @ SY2984 ) )
            | ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ SV50 ) @ SY2984 )
              = ( insert1556680138e_bool @ SV50 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1412]) ).

thf(1694,plain,
    ! [SV51: $i,SV260: $i] :
      ( ( ! [SY2985: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV260 ) @ SY2985 ) )
            | ( ( image_pname_pname @ ( cOMBK_pname_pname @ SV51 ) @ SY2985 )
              = ( insert_pname @ SV51 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1695,plain,
    ! [SV52: $i,SV261: $i] :
      ( ( ! [SY2986: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV261 ) @ SY2986 ) )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV52 ) @ SY2986 )
              = ( insert1415133716_state @ SV52 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1414]) ).

thf(1696,plain,
    ! [SV53: $i,SV262: $i] :
      ( ( ! [SY2987: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV262 ) @ SY2987 ) )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV53 ) @ SY2987 )
              = ( insert1415133716_state @ SV53 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1415]) ).

thf(1697,plain,
    ! [SV54: $i,SV263: $i] :
      ( ( ! [SY2988: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV263 ) @ SY2988 ) )
            | ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ SV54 ) @ SY2988 )
              = ( insert_pname @ SV54 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1416]) ).

thf(1698,plain,
    ! [SV55: $i,SV264: $i] :
      ( ( ! [SY2989: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV264 ) @ SY2989 ) )
            | ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ SV55 ) @ SY2989 )
              = ( insert_pname @ SV55 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1699,plain,
    ! [SV265: $i,SV56: $i] :
      ( ( ! [SY2990: $i] :
            ( ( hAPP_p799580910on_com @ SV56 @ SV265 )
           != ( some_com @ SY2990 ) )
        | ( ( insert_pname @ SV265 @ ( dom_pname_com @ SV56 ) )
          = ( dom_pname_com @ SV56 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1700,plain,
    ! [SV266: $i,SV57: $i] :
      ( ( ! [SY2991: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY2991 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SY2991 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1419]) ).

thf(1701,plain,
    ! [SV267: $i,SV58: $i] :
      ( ( ! [SY2992: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2992 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SY2992 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1420]) ).

thf(1702,plain,
    ! [SV268: $i,SV59: $i] :
      ( ( ! [SY2993: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2993 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SY2993 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1421]) ).

thf(1703,plain,
    ! [SV269: $i,SV60: $i] :
      ( ( ! [SY2994: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2994 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SY2994 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1704,plain,
    ! [SV270: $i,SV61: $i] :
      ( ( ! [SY2995: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2995 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SY2995 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1705,plain,
    ! [SV271: $i,SV62: $i] :
      ( ( ! [SY2996: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SY2996 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SY2996 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1424]) ).

thf(1706,plain,
    ! [SV272: $i,SV63: $i] :
      ( ( ! [SY2997: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SY2997 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SY2997 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1425]) ).

thf(1707,plain,
    ! [SV273: $i,SV64: $i] :
      ( ( ! [SY2998: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY2998 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SY2998 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1426]) ).

thf(1708,plain,
    ! [SV274: $i,SV65: $i] :
      ( ( ! [SY2999: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY2999 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SY2999 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1709,plain,
    ! [SV275: $i,SV66: $i] :
      ( ( ! [SY3000: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3000 ) )
            | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SY3000 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1710,plain,
    ! [SV276: $i,SV67: $i] :
      ( ( ! [SY3001: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3001 ) )
            | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SY3001 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1711,plain,
    ! [SV277: $i,SV68: $i] :
      ( ( ! [SY3002: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3002 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SY3002 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1430]) ).

thf(1712,plain,
    ! [SV278: $i,SV69: $i] :
      ( ( ! [SY3003: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3003 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SY3003 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1431]) ).

thf(1713,plain,
    ! [SV279: $i,SV70: $i] :
      ( ( ! [SY3004: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3004 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SY3004 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1714,plain,
    ! [SV280: $i,SV71: $i] :
      ( ( ! [SY3005: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3005 ) )
            | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SY3005 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1715,plain,
    ! [SV281: $i,SV72: $i] :
      ( ( ! [SY3006: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3006 ) )
            | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SY3006 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1716,plain,
    ! [SV282: $i,SV73: $i] :
      ( ( ! [SY3007: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3007 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SY3007 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1717,plain,
    ! [SV283: $i,SV74: $i] :
      ( ( ! [SY3008: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3008 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SY3008 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1436]) ).

thf(1718,plain,
    ! [SV284: $i,SV75: $i] :
      ( ( ! [SY3009: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3009 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SY3009 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1719,plain,
    ! [SV285: $i,SV76: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV76 ) @ ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
        | ( SV76 = bot_bo620288102e_bool )
        | ( SV76
          = ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1438]) ).

thf(1720,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV77 ) )
        = $true )
      | ( ( ! [SY2704: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) )
              | ( SV77 = bot_bo1649642514l_bool )
              | ( SV77
                = ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1439]) ).

thf(1721,plain,
    ! [SV286: $i,SV78: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV78 ) @ ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
        | ( SV78 = bot_bo535777328l_bool )
        | ( SV78
          = ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1722,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV79 ) )
        = $true )
      | ( ( ! [SY2706: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) )
              | ( SV79 = bot_bo844097828e_bool )
              | ( SV79
                = ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1441]) ).

thf(1723,plain,
    ( ( ( hBOOL @ hoare_165779456gleton )
      = $false )
    | ( ( ~ ( hBOOL @ wT_bodies )
        | ! [C_1: $i] :
            ( ~ ( hBOOL @ ( wt @ C_1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1442]) ).

thf(1724,plain,
    ! [SV80: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV80 ) @ bot_bo620288102e_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1443]) ).

thf(1725,plain,
    ! [SV81: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV81 ) @ bot_bo1649642514l_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1444]) ).

thf(1726,plain,
    ! [SV82: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV82 ) @ bot_bo535777328l_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1445]) ).

thf(1727,plain,
    ! [SV83: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV83 ) @ bot_bo844097828e_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1446]) ).

thf(1728,plain,
    ! [SV287: $i,SV84: $i] :
      ( ( ! [SY3010: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SV287 @ SY3010 ) ) )
            | ( SV84 = SV287 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SY3010 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1447]) ).

thf(1729,plain,
    ! [SV288: $i,SV85: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV85 )
        | ~ ( is_fun_pname_bool @ SV288 )
        | ! [SY3011: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SY3011 ) ) )
            | ( SV85 = SV288 )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY3011 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1730,plain,
    ! [SV289: $i,SV86: $i] :
      ( ( ! [SY3012: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SV289 @ SY3012 ) ) )
            | ( SV86 = SV289 )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SY3012 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1731,plain,
    ! [SV290: $i,SV87: $i] :
      ( ( ~ ( is_pname @ SV87 )
        | ~ ( is_pname @ SV290 )
        | ! [SY3013: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SY3013 ) ) )
            | ( SV87 = SV290 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY3013 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1450]) ).

thf(1732,plain,
    ! [SV291: $i,SV88: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SV291 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV291 ) @ SV88 ) )
        | ( SV88 = SV291 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1451]) ).

thf(1733,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV89 )
        | ~ ( is_fun1661590463l_bool @ SV292 )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
        | ( SV89 = SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1452]) ).

thf(1734,plain,
    ! [SV293: $i,SV90: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SV293 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV293 ) @ SV90 ) )
        | ( SV90 = SV293 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1453]) ).

thf(1735,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV91 )
        | ~ ( is_fun_pname_bool @ SV294 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
        | ( SV91 = SV294 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1454]) ).

thf(1736,plain,
    ! [SV92: $i,SV295: $i] :
      ( ( ! [SY3014: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SY3014 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SY3014 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1737,plain,
    ! [SV93: $i,SV296: $i] :
      ( ( ! [SY3015: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SY3015 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SY3015 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1456]) ).

thf(1738,plain,
    ! [SV94: $i,SV297: $i] :
      ( ( ! [SY3016: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SY3016 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SY3016 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1457]) ).

thf(1739,plain,
    ! [SV95: $i,SV298: $i] :
      ( ( ! [SY3017: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SY3017 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SY3017 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1458]) ).

thf(1740,plain,
    ! [SV96: $i,SV299: $i] :
      ( ( ! [SY3018: $i,SY3019: $i] :
            ( ( SV299
             != ( hAPP_H356885323e_bool @ SY3018 @ SY3019 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3019 ) @ SV96 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SY3018 @ SV96 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1741,plain,
    ! [SV97: $i,SV300: $i] :
      ( ( ! [SY3020: $i,SY3021: $i] :
            ( ( SV300
             != ( hAPP_H1049623551e_bool @ SY3020 @ SY3021 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3021 ) @ SV97 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SY3020 @ SV97 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1460]) ).

thf(1742,plain,
    ! [SV98: $i,SV301: $i] :
      ( ( ! [SY3022: $i,SY3023: $i] :
            ( ( SV301
             != ( hAPP_p61793385e_bool @ SY3022 @ SY3023 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3023 ) @ SV98 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SY3022 @ SV98 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1743,plain,
    ! [SV99: $i,SV302: $i] :
      ( ( ! [SY3024: $i,SY3025: $i] :
            ( ( SV302
             != ( hAPP_p442853985e_bool @ SY3024 @ SY3025 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3025 ) @ SV99 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SY3024 @ SV99 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1462]) ).

thf(1744,plain,
    ! [SV100: $i,SV303: $i] :
      ( ( ! [SY3026: $i,SY3027: $i] :
            ( ( SV303
             != ( hAPP_f888949707_state @ SY3026 @ SY3027 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3027 ) @ SV100 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SY3026 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1745,plain,
    ! [SV101: $i,SV304: $i] :
      ( ( ! [SY3028: $i,SY3029: $i] :
            ( ( SV304
             != ( hAPP_f1387463497_state @ SY3028 @ SY3029 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3029 ) @ SV101 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SY3028 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1746,plain,
    ! [SV102: $i,SV305: $i] :
      ( ( ! [SY3030: $i,SY3031: $i] :
            ( ( SV305
             != ( hAPP_H1621176307_pname @ SY3030 @ SY3031 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3031 ) @ SV102 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SY3030 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1465]) ).

thf(1747,plain,
    ! [SV103: $i,SV306: $i] :
      ( ( ! [SY3032: $i,SY3033: $i] :
            ( ( SV306
             != ( hAPP_pname_pname @ SY3032 @ SY3033 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3033 ) @ SV103 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SY3032 @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1466]) ).

thf(1748,plain,
    ! [SV104: $i,SV307: $i] :
      ( ( ! [SY3034: $i,SY3035: $i] :
            ( ( SV307
             != ( hAPP_f1297739591_pname @ SY3034 @ SY3035 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3035 ) @ SV104 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SY3034 @ SV104 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1749,plain,
    ! [SV105: $i,SV308: $i] :
      ( ( ! [SY3036: $i,SY3037: $i] :
            ( ( SV308
             != ( hAPP_f560369737_pname @ SY3036 @ SY3037 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3037 ) @ SV105 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SY3036 @ SV105 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1468]) ).

thf(1750,plain,
    ! [SV106: $i,SV309: $i] :
      ( ( ! [SY3038: $i,SY3039: $i] :
            ( ( SV309
             != ( hAPP_p1422361149_state @ SY3038 @ SY3039 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3039 ) @ SV106 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SY3038 @ SV106 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1751,plain,
    ! [SV107: $i,SV310: $i] :
      ( ( ( SV310 != bot_bo1649642514l_bool )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV107 ) @ SV310 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1470]) ).

thf(1752,plain,
    ! [SV108: $i,SV311: $i] :
      ( ( ( SV311 != bot_bo535777328l_bool )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV108 ) @ SV311 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1753,plain,
    ! [SV109: $i,SV312: $i] :
      ( ( ( SV312 != bot_bo620288102e_bool )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV109 ) @ SV312 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1472]) ).

thf(1754,plain,
    ! [SV110: $i,SV313: $i] :
      ( ( ( SV313 != bot_bo844097828e_bool )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV110 ) @ SV313 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1755,plain,
    ! [SV111: $i] :
      ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV111 ) @ bot_bo1649642514l_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1474]) ).

thf(1756,plain,
    ! [SV112: $i] :
      ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV112 ) @ bot_bo535777328l_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1475]) ).

thf(1757,plain,
    ! [SV113: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV113 ) @ bot_bo620288102e_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1476]) ).

thf(1758,plain,
    ! [SV114: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV114 ) @ bot_bo844097828e_bool ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1477]) ).

thf(1759,plain,
    ! [SV115: $i,SV314: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV314 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SV314 ) )
        | ( ( insert_pname @ SV115 @ SV314 )
          = SV314 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1478]) ).

thf(1760,plain,
    ! [SV315: $i,SV116: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV116 ) @ SV315 ) )
        | ( ( insert1415133716_state @ SV116 @ SV315 )
          = SV315 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1761,plain,
    ! [SV117: $i,SV316: $i] :
      ( ( ! [SY3040: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ SY3040 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ ( insert_pname @ SV117 @ SY3040 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1480]) ).

thf(1762,plain,
    ! [SV118: $i,SV317: $i] :
      ( ( ! [SY3041: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ SY3041 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ ( insert1415133716_state @ SV118 @ SY3041 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1763,plain,
    ! [SV318: $i,SV119: $i] :
      ( ( ! [SY3042: $i] :
            ( ( insert1415133716_state @ SV119 @ ( insert1415133716_state @ SV318 @ SY3042 ) )
            = ( insert1415133716_state @ SV318 @ ( insert1415133716_state @ SV119 @ SY3042 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1764,plain,
    ! [SV319: $i,SV120: $i] :
      ( ( ( insert1415133716_state @ SV120 @ ( insert1415133716_state @ SV120 @ SV319 ) )
        = ( insert1415133716_state @ SV120 @ SV319 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1765,plain,
    ! [SV320: $i,SV121: $i] :
      ( ( ( insert1415133716_state @ SV121 @ ( collec307967673_state @ SV320 ) )
        = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fimplies @ ( cOMBB_2144135922_state @ fNot @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV121 ) ) ) @ SV320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1484]) ).

thf(1766,plain,
    ! [SV321: $i,SV122: $i] :
      ( ( ( insert1415133716_state @ SV122 @ SV321 )
        = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV122 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1767,plain,
    ! [SV322: $i,SV123: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV123 ) @ ( insert_pname @ SV123 @ SV322 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1768,plain,
    ! [SV323: $i,SV124: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV124 ) @ ( insert1415133716_state @ SV124 @ SV323 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1769,plain,
    ! [SV125: $i,SV324: $i] :
      ( ( ! [SY3043: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SY3043 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3043 ) @ SV125 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1488]) ).

thf(1770,plain,
    ! [SV126: $i,SV325: $i] :
      ( ( ! [SY3044: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SY3044 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3044 ) @ SV126 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1489]) ).

thf(1771,plain,
    ! [SV127: $i,SV326: $i] :
      ( ( ! [SY3045: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SY3045 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SY3045 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1772,plain,
    ! [SV128: $i,SV327: $i] :
      ( ( ! [SY3046: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SY3046 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SY3046 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1773,plain,
    ! [SV129: $i,SV328: $i] :
      ( ( ! [SY3047: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SY3047 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3047 ) @ SV129 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1774,plain,
    ! [SV130: $i,SV329: $i] :
      ( ( ! [SY3048: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SY3048 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3048 ) @ SV130 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1775,plain,
    ! [SV131: $i,SV330: $i] :
      ( ( ! [SY3049: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SY3049 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SY3049 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1776,plain,
    ! [SV132: $i,SV331: $i] :
      ( ( ! [SY3050: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SY3050 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SY3050 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1777,plain,
    ! [SV332: $i,SV133: $i] :
      ( ( ( SV133 != SV332 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV332 ) @ SV133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1778,plain,
    ! [SV333: $i,SV134: $i] :
      ( ( ( SV134 != SV333 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV333 ) @ SV134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1497]) ).

thf(1779,plain,
    ! [SV334: $i,SV135: $i] :
      ( ( ( SV135 != SV334 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV135 ) @ SV334 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1780,plain,
    ! [SV335: $i,SV136: $i] :
      ( ( ( SV136 != SV335 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV136 ) @ SV335 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1781,plain,
    ! [SV336: $i,SV139: $i] :
      ( ( ! [SY3051: $i,SY3052: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3051 ) @ SY3052 ) )
            | ( SV139
             != ( hAPP_p1422361149_state @ SV336 @ SY3051 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SY3052 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1782,plain,
    ! [SV140: $i,SV337: $i] :
      ( ( ! [SY3053: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV337 ) @ SY3053 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ SV140 @ SV337 ) ) @ ( image_2003357581_state @ SV140 @ SY3053 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1783,plain,
    ! [SV338: $i,SV141: $i] :
      ( ( ( insert1415133716_state @ SV141 @ SV338 )
        = ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV141 ) ) @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ member1338687867_state ) @ SV338 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1784,plain,
    ! [SV339: $i,SV142: $i] :
      ( ( ( ( insert1415133716_state @ SV142 @ bot_bo620288102e_bool )
         != ( insert1415133716_state @ SV339 @ bot_bo620288102e_bool ) )
        | ( SV142 = SV339 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1785,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ~ ( is_pname @ SV143 )
        | ~ ( is_pname @ SV340 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
        | ( SV143 = SV340 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1506]) ).

thf(1786,plain,
    ! [SV341: $i,SV144: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV144 ) @ ( insert1415133716_state @ SV341 @ bot_bo620288102e_bool ) ) )
        | ( SV144 = SV341 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1507]) ).

thf(1787,plain,
    ! [SV342: $i,SV145: $i] :
      ( ( ( ( insert1415133716_state @ SV145 @ SV342 )
         != bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1788,plain,
    ! [SV343: $i,SV146: $i] :
      ( ( ( bot_bo620288102e_bool
         != ( insert1415133716_state @ SV146 @ SV343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1789,plain,
    ! [SV344: $i,SV148: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SV344 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV344 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1511]) ).

thf(1790,plain,
    ! [SV345: $i,SV149: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SV345 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV345 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1791,plain,
    ! [SV346: $i,SV150: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SV346 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV346 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1792,plain,
    ! [SV347: $i,SV151: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SV347 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV347 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1793,plain,
    ! [SV152: $i,SV348: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV348 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SV348 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1794,plain,
    ! [SV153: $i,SV349: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV349 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SV349 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1795,plain,
    ! [SV154: $i,SV350: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV350 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SV350 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1517]) ).

thf(1796,plain,
    ! [SV155: $i,SV351: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV351 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SV351 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1797,plain,
    ! [SV156: $i,SV352: $i] :
      ( ( ! [SY3054: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV352 ) @ SY3054 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV156 @ SV352 ) ) @ ( insert_pname @ SV156 @ SY3054 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1798,plain,
    ! [SV157: $i,SV353: $i] :
      ( ( ! [SY3055: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV353 ) @ SY3055 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV157 @ SV353 ) ) @ ( insert1415133716_state @ SV157 @ SY3055 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1799,plain,
    ! [SV158: $i,SV354: $i] :
      ( ( ! [SY3056: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ SY3056 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ ( insert_pname @ SV158 @ SY3056 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1800,plain,
    ! [SV159: $i,SV355: $i] :
      ( ( ! [SY3057: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ SY3057 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ ( insert1415133716_state @ SV159 @ SY3057 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1522]) ).

thf(1801,plain,
    ! [SV356: $i,SV160: $i] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV160 ) @ ( insert_pname @ SV356 @ SV160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1802,plain,
    ! [SV357: $i,SV161: $i] :
      ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV161 ) @ ( insert1415133716_state @ SV357 @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1803,plain,
    ! [SV162: $i,SV358: $i] :
      ( ( ! [SY3058: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV358 ) @ SY3058 ) )
            | ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV162 @ SV358 ) @ ( image_2003357581_state @ SV162 @ SY3058 ) )
              = ( image_2003357581_state @ SV162 @ SY3058 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1804,plain,
    ! [SV359: $i,SV163: $i] :
      ( ( ! [SY3059: $i] :
            ( ( image_2003357581_state @ SV163 @ ( insert_pname @ SV359 @ SY3059 ) )
            = ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV163 @ SV359 ) @ ( image_2003357581_state @ SV163 @ SY3059 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1526]) ).

thf(1805,plain,
    ! [SV164: $i,SV360: $i] :
      ( ( ! [SY3060: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV360 ) @ SY3060 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ SV164 @ SV360 ) ) @ ( image_2003357581_state @ SV164 @ SY3060 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1806,plain,
    ! [SV361: $i,SV165: $i] :
      ( ( ! [SY3061: $i] :
            ( ( hAPP_p799580910on_com @ SV165 @ SV361 )
           != ( some_com @ SY3061 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV361 ) @ ( dom_pname_com @ SV165 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1807,plain,
    ( ( ( hBOOL @ wT_bodies )
      = $false )
    | ( ( ! [Pn: $i,B_2: $i] :
            ( ( ( hAPP_p799580910on_com @ body @ Pn )
             != ( some_com @ B_2 ) )
            | ( hBOOL @ ( wt @ B_2 ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1531]) ).

thf(1808,plain,
    ! [SV168: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ SV168 ) ) ) )
        = $true )
      | ( ( ( hAPP_p799580910on_com @ body @ SV168 )
          = ( some_com @ ( sK4_Y_1 @ SV168 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1532]) ).

thf(1809,plain,
    ! [SV169: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV169 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV169 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1533]) ).

thf(1810,plain,
    ! [SV170: $i] :
      ( ( ( hBOOL @ SV170 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV170 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1534]) ).

thf(1811,plain,
    ! [SV171: $i,SV362: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV362 ) @ SV171 ) )
        | ~ ( hBOOL @ SV362 )
        | ~ ( hBOOL @ SV171 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1535]) ).

thf(1812,plain,
    ! [SV172: $i] :
      ( ( ( ! [SY2835: $i] :
              ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV172 ) @ SY2835 ) ) )
        = $true )
      | ( ( hBOOL @ SV172 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1536]) ).

thf(1813,plain,
    ! [SV363: $i,SV173: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV173 ) @ SV363 ) )
        | ( hBOOL @ SV363 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1814,plain,
    ! [SV174: $i,SV364: $i] :
      ( ( ~ ( hBOOL @ SV364 )
        | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV364 ) @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1538]) ).

thf(1815,plain,
    ! [SV175: $i,SV365: $i] :
      ( ( ~ ( hBOOL @ SV365 )
        | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV175 ) @ SV365 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1816,plain,
    ! [SV176: $i,SV366: $i] :
      ( ( ( hBOOL @ SV366 )
        | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV176 ) @ SV366 ) )
        | ( hBOOL @ SV176 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1817,plain,
    ! [SV177: $i,SV367: $i] :
      ( ( ( hBOOL @ SV367 )
        | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV367 ) @ SV177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1818,plain,
    ! [SV178: $i,SV368: $i] :
      ( ( ~ ( hBOOL @ SV368 )
        | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV178 ) @ SV368 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1819,plain,
    ! [SV179: $i,SV369: $i] :
      ( ( ( hBOOL @ SV369 )
        | ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SV369 ) )
        | ~ ( hBOOL @ SV179 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1820,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ~ ( is_pname @ SV180 )
        | ~ ( is_pname @ SV370 )
        | ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
        | ( SV180 = SV370 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1821,plain,
    ! [SV371: $i,SV181: $i] :
      ( ( ( SV181 != SV371 )
        | ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV181 ) @ SV371 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1546]) ).

thf(1822,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV182 )
        | ~ ( is_fun_pname_bool @ SV372 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
        | ( SV182 = SV372 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1823,plain,
    ! [SV373: $i,SV183: $i] :
      ( ( ( SV183 != SV373 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV183 ) @ SV373 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1824,plain,
    ! [SV374: $i,SV184: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV184 ) @ SV374 ) )
        | ( SV184 = SV374 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1825,plain,
    ! [SV375: $i,SV185: $i] :
      ( ( ( SV185 != SV375 )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV185 ) @ SV375 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1826,plain,
    ! [SV376: $i,SV186: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV186 ) @ SV376 ) )
        | ( SV186 = SV376 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1827,plain,
    ! [SV377: $i,SV187: $i] :
      ( ( ( SV187 != SV377 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV187 ) @ SV377 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1828,plain,
    ! [SV378: $i,SV188: $i] :
      ( ( ! [SY3062: $i] :
            ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ SV188 @ SV378 ) @ SY3062 )
            = ( hAPP_c1126217667_state @ SV188 @ ( hAPP_pname_com @ SV378 @ SY3062 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1829,plain,
    ! [SV189: $i] :
      ( ( ( ~ ( is_bool @ SV189 ) )
        = $true )
      | ( ( ! [SY2853: $i] :
              ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ SV189 ) @ SY2853 )
              = SV189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1554]) ).

thf(1830,plain,
    ! [SV379: $i,SV190: $i] :
      ( ( ! [SY3063: $i] :
            ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ SV190 @ SV379 ) @ SY3063 )
            = ( hAPP_bool_bool @ SV190 @ ( hAPP_f971112728l_bool @ SV379 @ SY3063 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1831,plain,
    ! [SV380: $i,SV191: $i] :
      ( ( ! [SY3064: $i] :
            ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ SV191 @ SV380 ) @ SY3064 )
            = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ SV191 @ SY3064 ) @ ( hAPP_f971112728l_bool @ SV380 @ SY3064 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1832,plain,
    ! [SV381: $i,SV192: $i] :
      ( ( ! [SY3065: $i] :
            ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ SV192 @ SV381 ) @ SY3065 )
            = ( hAPP_b589554111l_bool @ SV192 @ ( hAPP_f971112728l_bool @ SV381 @ SY3065 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1833,plain,
    ! [SV382: $i,SV193: $i] :
      ( ( ! [SY3066: $i] :
            ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ SV193 ) @ SV382 ) @ SY3066 )
            = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ SV193 @ SY3066 ) @ SV382 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1558]) ).

thf(1834,plain,
    ! [SV383: $i,SV194: $i] :
      ( ( ! [SY3067: $i] :
            ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ SV194 ) @ SV383 ) @ SY3067 )
            = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ SV194 @ SY3067 ) @ SV383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1835,plain,
    ! [SV384: $i,SV195: $i] :
      ( ( ! [SY3068: $i] :
            ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ SV195 ) @ SV384 ) @ SY3068 )
            = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ SV195 @ SY3068 ) @ SV384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1836,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX1 )
            | ( SX1 != bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1562]) ).

thf(1837,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX1 )
            | ( SX1 = bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1562]) ).

thf(1838,plain,
    ! [SV196: $i] :
      ( ( ~ ! [SY2866: $i,SY2867: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2867 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2866 ) @ SY2867 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2866 ) ) @ SY2867 ) ) )
        | ~ ~ ( ~ ! [SY2868: $i,SY2869: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) )
              | ~ ! [SY2870: $i,SY2871: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1563]) ).

thf(1839,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo620288102e_bool )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1564]) ).

thf(1840,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) )
            | ( SX0 = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1564]) ).

thf(1841,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1565]) ).

thf(1842,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1565]) ).

thf(1843,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
              = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1566]) ).

thf(1844,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1566]) ).

thf(1845,plain,
    ! [SV385: $i,SV197: $i] :
      ( ( ! [SY3069: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SY3069 ) ) )
            | ~ ( ~ ( is_pname @ ( sK13_X_1 @ SY3069 @ SV385 @ SV197 ) )
                | ~ ~ ( ( SV197
                       != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SY3069 @ SV385 @ SV197 ) ) )
                      | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SY3069 @ SV385 @ SV197 ) ) @ SY3069 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1846,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1568]) ).

thf(1847,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1568]) ).

thf(1848,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1569]) ).

thf(1849,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1569]) ).

thf(1850,plain,
    ! [SV198: $i] :
      ( ( ~ ! [SY2874: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2874 )
              | ! [SY2875: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2874 @ SY2875 ) ) )
                  | ( SV198 = SY2874 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2875 ) ) ) )
        | ~ ~ ( ~ ! [SY2876: $i] :
                    ( ~ ( is_pname @ SV198 )
                    | ~ ( is_pname @ SY2876 )
                    | ( SV198 != SY2876 )
                    | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) )
              | ~ ! [SY2878: $i] :
                    ( ~ ( is_pname @ SV198 )
                    | ~ ( is_pname @ SY2878 )
                    | ! [SY2879: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1851,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ~ ( ~ ( is_pname @ ( sK3_X_1 @ SV386 @ SV199 ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
                  | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1852,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK31_X_1 @ SX0 ) ) ) )
            | ( ( collect_pname @ SX0 )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1572]) ).

thf(1853,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collect_pname @ SX0 )
             != bot_bo844097828e_bool )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1572]) ).

thf(1854,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1573]) ).

thf(1855,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
              = ( insert1325755072e_bool @ SX0 @ bot_bo1649642514l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1573]) ).

thf(1856,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = bot_bo535777328l_bool )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SX0 ) ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1574]) ).

thf(1857,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 != bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1574]) ).

thf(1858,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( ( image_2003357581_state @ SX0 @ SX1 )
             != bot_bo620288102e_bool )
            | ( SX1 = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1575]) ).

thf(1859,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ SX0 @ SX1 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1575]) ).

thf(1860,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1576]) ).

thf(1861,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
              = ( insert_pname @ SX0 @ bot_bo844097828e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1576]) ).

thf(1862,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK25_X_1 @ SX0 ) ) ) )
            | ( bot_bo844097828e_bool
              = ( collect_pname @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1577]) ).

thf(1863,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo844097828e_bool
             != ( collect_pname @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1577]) ).

thf(1864,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( bot_bo620288102e_bool
             != ( image_2003357581_state @ SX0 @ SX1 ) )
            | ( SX1 = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1578]) ).

thf(1865,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( bot_bo620288102e_bool
              = ( image_2003357581_state @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1578]) ).

thf(1866,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK27_X_1 @ SX0 ) ) ) )
            | ( bot_bo1649642514l_bool
              = ( collec1974731493e_bool @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1579]) ).

thf(1867,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo1649642514l_bool
             != ( collec1974731493e_bool @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1579]) ).

thf(1868,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SX0 ) ) @ SX0 ) )
            | ( SX0 = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1580]) ).

thf(1869,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo535777328l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1580]) ).

thf(1870,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1581]) ).

thf(1871,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1581]) ).

thf(1872,plain,
    ( ( ( hBOOL @ hoare_165779456gleton )
      = $false )
    | ( ( ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SX1 @ SX0 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SX1 @ SX0 ) ) @ ( dom_pname_com @ body ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SX1 @ SX0 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
            | ~ ( hBOOL @ ( wt @ SX0 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SX1 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SX0 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1582]) ).

thf(1873,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1583]) ).

thf(1874,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1583]) ).

thf(1875,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                              | ( SV200 = SY3070 )
                              | ( SV200 = SY3071 ) )
                        | ~ ! [SY3072: $i] :
                              ( ! [SY3073: $i] :
                                  ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                                 != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                              | ( SV200 = SY3072 )
                              | ( SV387 = SY3072 ) ) )
                  | ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                              | ( SV387 = SY3075 )
                              | ( SV200 = SY3075 ) )
                        | ~ ! [SY3076: $i,SY3077: $i] :
                              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                               != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                              | ( SV387 = SY3077 )
                              | ( SV387 = SY3076 ) ) ) )
            | ~ ~ ( ~ ! [SY3078: $i,SY3079: $i] :
                        ( ( SV200 != SY3078 )
                        | ( SV387 != SY3079 )
                        | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                          = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) )
                  | ~ ! [SY3080: $i,SY3081: $i] :
                        ( ( SV200 != SY3081 )
                        | ( SV387 != SY3080 )
                        | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                          = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1584]) ).

thf(1876,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK33_X_1 @ SX0 ) ) ) )
            | ( ( collec1974731493e_bool @ SX0 )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1585]) ).

thf(1877,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collec1974731493e_bool @ SX0 )
             != bot_bo1649642514l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1585]) ).

thf(1878,plain,
    ! [SV201: $i,SV388: $i] :
      ( ( ! [SY3082: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3082 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3082 ) @ SV388 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SY3082 @ SV388 @ SV201 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SY3082 @ SV388 @ SV201 ) ) @ SV388 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SY3082 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SY3082 @ SV388 @ SV201 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SY3082 @ SV388 @ SV201 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SY3082 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SY3082 @ SV388 @ SV201 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SY3082 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1879,plain,
    ! [SV202: $i,SV389: $i] :
      ( ( ! [SY3083: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3083 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3083 ) @ SV389 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
            | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SY3083 @ SV389 @ SV202 ) )
                      | ~ ( is_pname @ ( sK11_A_1 @ SY3083 @ SV389 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SY3083 @ SV389 @ SV202 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SY3083 @ SV389 @ SV202 ) ) @ SV389 ) )
                            | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SY3083 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SY3083 @ SV389 @ SV202 ) ) )
                                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SY3083 @ SV389 @ SV202 ) ) )
                                        | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SY3083 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SY3083 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SY3083 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1880,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1588]) ).

thf(1881,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1588]) ).

thf(1882,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK28_X_1 @ SX0 ) ) )
            | ( bot_bo535777328l_bool
              = ( collec1823980261e_bool @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1589]) ).

thf(1883,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo535777328l_bool
             != ( collec1823980261e_bool @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1589]) ).

thf(1884,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 != bot_bo844097828e_bool )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1590]) ).

thf(1885,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) )
            | ( SX0 = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1590]) ).

thf(1886,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1591]) ).

thf(1887,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1591]) ).

thf(1888,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1592]) ).

thf(1889,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1592]) ).

thf(1890,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK30_X_1 @ SX0 ) ) ) )
            | ( bot_bo1537088220l_bool
              = ( collec1613912337l_bool @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1593]) ).

thf(1891,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo1537088220l_bool
             != ( collec1613912337l_bool @ SX0 ) )
            | ! [SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1593]) ).

thf(1892,plain,
    ! [SV390: $i,SV203: $i] :
      ( ( ! [SY3084: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3084 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3084 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SY3084 @ SV390 @ SV203 ) ) @ SV390 ) )
                            | ~ ( is_fun_pname_bool @ ( sK1_C @ SY3084 @ SV390 @ SV203 ) ) )
                      | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SY3084 @ SV390 @ SV203 ) ) ) )
                | ( SY3084
                 != ( image_2003357581_state @ SV203 @ ( sK1_C @ SY3084 @ SV390 @ SV203 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1594]) ).

thf(1893,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
              = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1595]) ).

thf(1894,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
              = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1595]) ).

thf(1895,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
              = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1896,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1897,plain,
    ! [SV204: $i] :
      ( ( ~ ! [SY2900: $i,SY2901: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ SY2901 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ ( insert1415133716_state @ SV204 @ SY2901 ) ) ) )
        | ~ ! [SY2902: $i] :
              ( ( SY2902 != SV204 )
              | ! [SY2903: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2902 ) @ ( insert1415133716_state @ SV204 @ SY2903 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1597]) ).

thf(1898,plain,
    ! [SV205: $i] :
      ( ( ~ ! [SY2904: $i,SY2905: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ SY2905 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ ( insert_pname @ SV205 @ SY2905 ) ) ) )
        | ~ ! [SY2906: $i] :
              ( ( SY2906 != SV205 )
              | ! [SY2907: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2906 ) @ ( insert_pname @ SV205 @ SY2907 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1598]) ).

thf(1899,plain,
    ! [SV206: $i] :
      ( ( ~ ! [SY2908: $i] :
              ( ! [SY2909: $i] :
                  ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ SY2909 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ bot_bo620288102e_bool ) ) ) )
        | ~ ! [SY2910: $i,SY2911: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2910 @ SY2911 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SY2911 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1599]) ).

thf(1900,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
              = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1600]) ).

thf(1901,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1600]) ).

thf(1902,plain,
    ! [SV207: $i,SV391: $i] :
      ( ( ! [SY3085: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY3085 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SY3085 ) @ SV391 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SY3085 @ SV391 @ SV207 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SY3085 @ SV391 @ SV207 ) ) @ SV391 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SY3085 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SY3085 @ SV391 @ SV207 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SY3085 @ SV391 @ SV207 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SY3085 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SY3085 @ SV391 @ SV207 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SY3085 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1601]) ).

thf(1903,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1904,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1905,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK36_X_1 @ SX0 ) ) ) )
            | ( ( collec1613912337l_bool @ SX0 )
              = bot_bo1537088220l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1906,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collec1613912337l_bool @ SX0 )
             != bot_bo1537088220l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun1661590463l_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1907,plain,
    ! [SV208: $i] :
      ( ( ~ ! [SY2914: $i,SY2915: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ SY2915 ) )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ ( insert1325755072e_bool @ SV208 @ SY2915 ) ) ) )
        | ~ ! [SY2916: $i] :
              ( ( SY2916 != SV208 )
              | ! [SY2917: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2916 ) @ ( insert1325755072e_bool @ SV208 @ SY2917 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1604]) ).

thf(1908,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1909,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX1 )
            | ( SX1 = bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1910,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1606]) ).

thf(1911,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1606]) ).

thf(1912,plain,
    ! [SV209: $i] :
      ( ( ~ ! [SY2918: $i,SY2919: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2918 @ SY2919 ) ) )
              | ( SV209 = SY2918 )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2919 ) ) )
        | ~ ~ ( ~ ! [SY2920: $i] :
                    ( ( SV209 != SY2920 )
                    | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) )
              | ~ ! [SY2922: $i,SY2923: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1607]) ).

thf(1913,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1914,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1915,plain,
    ! [SV210: $i] :
      ( ( ~ ! [SY2924: $i,SY2925: $i] :
              ( ! [SY2926: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2926 ) @ SY2925 ) )
                  | ~ ( is_fun_pname_bool @ SY2926 )
                  | ( SV210
                   != ( image_2003357581_state @ SY2924 @ SY2926 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2924 @ SY2925 ) ) ) )
        | ~ ! [SY2927: $i,SY2928: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2927 @ SY2928 ) ) )
              | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) @ SY2928 ) )
                        | ~ ( is_fun_pname_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) )
                  | ( SV210
                   != ( image_2003357581_state @ SY2927 @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1609]) ).

thf(1916,plain,
    ! [SV211: $i] :
      ( ( ~ ! [SY2929: $i,SY2930: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2929 ) @ SY2930 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ ( insert1415133716_state @ SY2929 @ SV211 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ SV211 ) ) )
        | ~ ! [SY2931: $i,SY2932: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2931 ) @ SY2932 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ SV211 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ ( insert1415133716_state @ SY2931 @ SV211 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1610]) ).

thf(1917,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1918,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1919,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SX0 ) ) @ SX0 ) ) )
            | ( SX0 = bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1612]) ).

thf(1920,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ( SX0 != bot_bo1649642514l_bool )
            | ! [SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1612]) ).

thf(1921,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ( SX0 = bot_bo1649642514l_bool )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SX0 ) ) @ SX0 ) )
                | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1922,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun1661590463l_bool @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) )
                | ~ ( is_fun_pname_bool @ SX1 ) )
            | ( SX0 != bot_bo1649642514l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1923,plain,
    ! [SV212: $i] :
      ( ( ~ ! [SY2933: $i,SY2934: $i] :
              ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ SY2934 ) )
              | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ ( insert1556680138e_bool @ SV212 @ SY2934 ) ) ) )
        | ~ ! [SY2935: $i] :
              ( ( SY2935 != SV212 )
              | ! [SY2936: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2935 ) @ ( insert1556680138e_bool @ SV212 @ SY2936 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1614]) ).

thf(1924,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1925,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1926,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1616]) ).

thf(1927,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1616]) ).

thf(1928,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1929,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1930,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY2937: $i,SY2938: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2937 ) @ SY2938 ) )
              | ( SV213 = SY2938 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ SY2937 @ SY2938 ) ) )
        | ~ ~ ( ~ ! [SY2939: $i,SY2940: $i] :
                    ( ( SV213 != SY2940 )
                    | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) )
              | ~ ! [SY2941: $i,SY2942: $i] :
                    ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
                    | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1618]) ).

thf(1931,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1932,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1933,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1934,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1935,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1621]) ).

thf(1936,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1621]) ).

thf(1937,plain,
    ! [SV214: $i] :
      ( ( ~ ! [SY2943: $i,SY2944: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2944 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2943 ) @ SY2944 ) )
              | ( SV214 = SY2944 )
              | ( hBOOL @ ( hAPP_pname_bool @ SY2943 @ SY2944 ) ) )
        | ~ ~ ( ~ ! [SY2945: $i,SY2946: $i] :
                    ( ~ ( is_pname @ SV214 )
                    | ~ ( is_pname @ SY2946 )
                    | ( SV214 != SY2946 )
                    | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) )
              | ~ ! [SY2947: $i,SY2948: $i] :
                    ( ~ ( is_pname @ SV214 )
                    | ~ ( is_pname @ SY2948 )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
                    | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1938,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1623]) ).

thf(1939,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
              = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1623]) ).

thf(1940,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK35_X_1 @ SX0 ) ) )
            | ( ( collec488126193l_bool @ SX0 )
              = bot_bo1761158942l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1624]) ).

thf(1941,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collec488126193l_bool @ SX0 )
             != bot_bo1761158942l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1624]) ).

thf(1942,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
              = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1943,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1944,plain,
    ! [SV215: $i] :
      ( ( ~ ! [SY2949: $i,SY2950: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2950 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2949 ) @ SY2950 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2949 ) ) @ SY2950 ) ) )
        | ~ ~ ( ~ ! [SY2951: $i,SY2952: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
                    | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) )
              | ~ ! [SY2953: $i,SY2954: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
                    | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1626]) ).

thf(1945,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK32_X_1 @ SX0 ) ) )
            | ( ( collec307967673_state @ SX0 )
              = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1627]) ).

thf(1946,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collec307967673_state @ SX0 )
             != bot_bo620288102e_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1627]) ).

thf(1947,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK29_X_1 @ SX0 ) ) )
            | ( bot_bo1761158942l_bool
              = ( collec488126193l_bool @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1628]) ).

thf(1948,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo1761158942l_bool
             != ( collec488126193l_bool @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1628]) ).

thf(1949,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1629]) ).

thf(1950,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX1 )
                  | ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( is_fun_pname_bool @ SX0 )
                  | ~ ( is_fun_pname_bool @ SX1 )
                  | ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1629]) ).

thf(1951,plain,
    ! [SV216: $i,SV392: $i] :
      ( ( ! [SY3086: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY3086 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SY3086 ) @ SV392 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
            | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SY3086 @ SV392 @ SV216 ) )
                      | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SY3086 @ SV392 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SY3086 @ SV392 @ SV216 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SY3086 @ SV392 @ SV216 ) ) @ SV392 ) )
                            | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SY3086 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SY3086 @ SV392 @ SV216 ) ) )
                                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SY3086 @ SV392 @ SV216 ) ) )
                                        | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SY3086 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SY3086 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SY3086 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1630]) ).

thf(1952,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
              = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1953,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1954,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( ( hAPP_pname_com @ body_1 @ SX0 )
             != ( hAPP_pname_com @ body_1 @ SX1 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1632]) ).

thf(1955,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_pname @ SX0 )
            | ~ ( is_pname @ SX1 )
            | ( SX0 != SX1 )
            | ( ( hAPP_pname_com @ body_1 @ SX0 )
              = ( hAPP_pname_com @ body_1 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1632]) ).

thf(1956,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SX0 ) ) @ SX0 ) )
            | ( SX0 = bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1633]) ).

thf(1957,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != bot_bo620288102e_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1633]) ).

thf(1958,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
              = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1634]) ).

thf(1959,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1634]) ).

thf(1960,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( ~ ( is_pname @ ( sK17_X_1 @ SX0 ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SX0 ) ) @ SX0 ) ) )
            | ( SX0 = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1635]) ).

thf(1961,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 != bot_bo844097828e_bool )
            | ! [SX1: $i] :
                ( ~ ( is_pname @ SX1 )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1635]) ).

thf(1962,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK34_X_1 @ SX0 ) ) )
            | ( ( collec1823980261e_bool @ SX0 )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1636]) ).

thf(1963,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( collec1823980261e_bool @ SX0 )
             != bot_bo535777328l_bool )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1636]) ).

thf(1964,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1965,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1966,plain,
    ! [SV217: $i] :
      ( ( ~ ! [SY2957: $i,SY2958: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SY2958 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SV217 ) )
              | ( ( insert1415133716_state @ SY2957 @ SY2958 )
               != ( insert1415133716_state @ SY2957 @ SV217 ) )
              | ( SY2958 = SV217 ) )
        | ~ ! [SY2959: $i,SY2960: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SY2960 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SV217 ) )
              | ( SY2960 != SV217 )
              | ( ( insert1415133716_state @ SY2959 @ SY2960 )
                = ( insert1415133716_state @ SY2959 @ SV217 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1967,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1968,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1969,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = bot_bo620288102e_bool )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SX0 ) ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1640]) ).

thf(1970,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
            | ( SX0 != bot_bo620288102e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1640]) ).

thf(1971,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK26_X_1 @ SX0 ) ) )
            | ( bot_bo620288102e_bool
              = ( collec307967673_state @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1641]) ).

thf(1972,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( bot_bo620288102e_bool
             != ( collec307967673_state @ SX0 ) )
            | ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1641]) ).

thf(1973,plain,
    ! [SV218: $i] :
      ( ( ~ ! [SY2961: $i,SY2962: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2961 ) @ SY2962 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ ( insert_pname @ SY2961 @ SV218 ) ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ SV218 ) ) )
        | ~ ! [SY2963: $i,SY2964: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2963 ) @ SY2964 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ SV218 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ ( insert_pname @ SY2963 @ SV218 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1642]) ).

thf(1974,plain,
    ! [SV219: $i] :
      ( ( ~ ! [SY2965: $i,SY2966: $i] :
              ( ~ ( is_fun_pname_bool @ SV219 )
              | ~ ( is_fun_pname_bool @ SY2966 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SY2966 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SV219 ) )
              | ( ( insert_pname @ SY2965 @ SY2966 )
               != ( insert_pname @ SY2965 @ SV219 ) )
              | ( SY2966 = SV219 ) )
        | ~ ! [SY2967: $i,SY2968: $i] :
              ( ~ ( is_fun_pname_bool @ SV219 )
              | ~ ( is_fun_pname_bool @ SY2968 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SY2968 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SV219 ) )
              | ( SY2968 != SV219 )
              | ( ( insert_pname @ SY2967 @ SY2968 )
                = ( insert_pname @ SY2967 @ SV219 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1643]) ).

thf(1975,plain,
    ! [SV220: $i] :
      ( ( ~ ! [SY2969: $i,SY2970: $i] :
              ( ! [SY2971: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2971 ) @ SY2970 ) )
                  | ~ ( is_pname @ SY2971 )
                  | ( SV220
                   != ( hAPP_p1422361149_state @ SY2969 @ SY2971 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2969 @ SY2970 ) ) ) )
        | ~ ! [SY2972: $i,SY2973: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2972 @ SY2973 ) ) )
              | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) @ SY2973 ) )
                        | ~ ( is_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) )
                  | ( SV220
                   != ( hAPP_p1422361149_state @ SY2972 @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1644]) ).

thf(1976,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
              = bot_bo535777328l_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1645]) ).

thf(1977,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 = bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
              = ( insert1556680138e_bool @ SX0 @ bot_bo535777328l_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1645]) ).

thf(1978,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
              = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1646]) ).

thf(1979,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
              = bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1646]) ).

thf(1980,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ( SX0 = bot_bo844097828e_bool )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SX0 ) ) @ SX0 ) )
                | ~ ( is_pname @ ( sK21_X_1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1647]) ).

thf(1981,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
                | ~ ( is_pname @ SX1 ) )
            | ( SX0 != bot_bo844097828e_bool ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1647]) ).

thf(1982,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1648]) ).

thf(1983,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1648]) ).

thf(1984,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV393 ) )
            | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1649]) ).

thf(1985,plain,
    ! [SV223: $i,SV4: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV4 ) @ SV223 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV223 ) @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1651]) ).

thf(1986,plain,
    ! [SV5: $i,SV394: $i,SV224: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV394 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SV394 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(1987,plain,
    ! [SV6: $i,SV395: $i,SV225: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SV395 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SV395 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(1988,plain,
    ! [SV7: $i,SV396: $i,SV226: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SV396 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV396 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1654]) ).

thf(1989,plain,
    ! [SV8: $i,SV397: $i,SV227: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ bot_bo620288102e_bool ) ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(1990,plain,
    ! [SV228: $i,SV9: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ SV228 ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ SV9 ) ) ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV228 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1656]) ).

thf(1991,plain,
    ! [SV10: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV10 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ ord_le313189616e_bool ) @ SV10 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1657]) ).

thf(1992,plain,
    ! [SV11: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV11 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ ord_le1285840794e_bool ) @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1658]) ).

thf(1993,plain,
    ! [SV12: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV12 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f595608956l_bool @ finite1491191519l_bool @ ( collec792590109l_bool @ ( hAPP_f1759205631l_bool @ ( cOMBC_336095980l_bool @ ord_le1375671464l_bool ) @ SV12 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1659]) ).

thf(1994,plain,
    ! [SV13: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV13 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1022807134l_bool @ finite34021339l_bool @ ( collec256567069l_bool @ ( hAPP_f667366769l_bool @ ( cOMBC_747715418l_bool @ ord_le889598034l_bool ) @ SV13 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1660]) ).

thf(1995,plain,
    ! [SV14: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV14 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( hAPP_f585161855l_bool @ ( cOMBC_1691491604l_bool @ ord_le287025148l_bool ) @ SV14 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1661]) ).

thf(1996,plain,
    ! [SV15: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV15 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( hAPP_f510955609l_bool @ ( cOMBC_7971162l_bool @ ord_le675606854l_bool ) @ SV15 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1997,plain,
    ! [SV16: $i,SV229: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ SV16 @ SV229 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1663]) ).

thf(1998,plain,
    ! [SV17: $i,SV230: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV230 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ SV17 @ SV230 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1664]) ).

thf(1999,plain,
    ! [SV18: $i,SV231: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV231 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ SV18 @ SV231 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1665]) ).

thf(2000,plain,
    ! [SV19: $i,SV232: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ SV19 @ SV232 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1666]) ).

thf(2001,plain,
    ! [SV20: $i,SV233: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ SV20 @ SV233 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1667]) ).

thf(2002,plain,
    ! [SV21: $i,SV234: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ SV21 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1668]) ).

thf(2003,plain,
    ! [SV22: $i,SV235: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV235 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ SV22 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1669]) ).

thf(2004,plain,
    ! [SV23: $i,SV236: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ SV23 @ SV236 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1670]) ).

thf(2005,plain,
    ! [SV24: $i,SV237: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV237 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ SV24 @ SV237 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1671]) ).

thf(2006,plain,
    ! [SV25: $i,SV238: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV238 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ SV25 @ SV238 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1672]) ).

thf(2007,plain,
    ! [SV26: $i,SV239: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV239 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ SV26 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1673]) ).

thf(2008,plain,
    ! [SV27: $i,SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV240 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ SV27 @ SV240 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1674]) ).

thf(2009,plain,
    ! [SV28: $i,SV241: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV241 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ SV28 @ SV241 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1675]) ).

thf(2010,plain,
    ! [SV29: $i,SV242: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV242 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ SV29 @ SV242 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1676]) ).

thf(2011,plain,
    ! [SV30: $i,SV243: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV243 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ SV30 @ SV243 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1677]) ).

thf(2012,plain,
    ! [SV31: $i,SV244: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV244 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ SV31 @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1678]) ).

thf(2013,plain,
    ! [SV32: $i,SV245: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV245 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ SV32 @ SV245 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1679]) ).

thf(2014,plain,
    ! [SV33: $i,SV246: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV246 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ SV33 @ SV246 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1680]) ).

thf(2015,plain,
    ! [SV34: $i,SV247: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV247 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ SV34 @ SV247 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1681]) ).

thf(2016,plain,
    ! [SV39: $i,SV248: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV248 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV39 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1682]) ).

thf(2017,plain,
    ! [SV40: $i,SV249: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV40 @ SV249 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1683]) ).

thf(2018,plain,
    ! [SV41: $i,SV250: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV250 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ SV41 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1684]) ).

thf(2019,plain,
    ! [SV42: $i,SV251: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ SV42 @ SV251 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1685]) ).

thf(2020,plain,
    ! [SV43: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV252 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV43 @ SV252 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1686]) ).

thf(2021,plain,
    ! [SV44: $i,SV253: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV44 @ SV253 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1687]) ).

thf(2022,plain,
    ! [SV45: $i,SV398: $i,SV254: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV254 ) @ SV398 ) )
        | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV45 ) @ SV398 )
          = ( insert1415133716_state @ SV45 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1688]) ).

thf(2023,plain,
    ! [SV46: $i,SV399: $i,SV255: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV255 ) @ SV399 ) )
        | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV46 ) @ SV399 )
          = ( insert_pname @ SV46 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(2024,plain,
    ! [SV47: $i,SV400: $i,SV256: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV256 ) @ SV400 ) )
        | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV47 ) @ SV400 )
          = ( insert1325755072e_bool @ SV47 @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1690]) ).

thf(2025,plain,
    ! [SV48: $i,SV401: $i,SV257: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV257 ) @ SV401 ) )
        | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV48 ) @ SV401 )
          = ( insert1556680138e_bool @ SV48 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1691]) ).

thf(2026,plain,
    ! [SV49: $i,SV402: $i,SV258: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV258 ) @ SV402 ) )
        | ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ SV49 ) @ SV402 )
          = ( insert1325755072e_bool @ SV49 @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(2027,plain,
    ! [SV50: $i,SV403: $i,SV259: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV259 ) @ SV403 ) )
        | ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ SV50 ) @ SV403 )
          = ( insert1556680138e_bool @ SV50 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1693]) ).

thf(2028,plain,
    ! [SV51: $i,SV404: $i,SV260: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV260 ) @ SV404 ) )
        | ( ( image_pname_pname @ ( cOMBK_pname_pname @ SV51 ) @ SV404 )
          = ( insert_pname @ SV51 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1694]) ).

thf(2029,plain,
    ! [SV52: $i,SV405: $i,SV261: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV261 ) @ SV405 ) )
        | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV52 ) @ SV405 )
          = ( insert1415133716_state @ SV52 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1695]) ).

thf(2030,plain,
    ! [SV53: $i,SV406: $i,SV262: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV262 ) @ SV406 ) )
        | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV53 ) @ SV406 )
          = ( insert1415133716_state @ SV53 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1696]) ).

thf(2031,plain,
    ! [SV54: $i,SV407: $i,SV263: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV263 ) @ SV407 ) )
        | ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ SV54 ) @ SV407 )
          = ( insert_pname @ SV54 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(2032,plain,
    ! [SV55: $i,SV408: $i,SV264: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV264 ) @ SV408 ) )
        | ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ SV55 ) @ SV408 )
          = ( insert_pname @ SV55 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1698]) ).

thf(2033,plain,
    ! [SV265: $i,SV56: $i] :
      ( ( ( ! [SY2990: $i] :
              ( ( hAPP_p799580910on_com @ SV56 @ SV265 )
             != ( some_com @ SY2990 ) ) )
        = $true )
      | ( ( ( insert_pname @ SV265 @ ( dom_pname_com @ SV56 ) )
          = ( dom_pname_com @ SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1699]) ).

thf(2034,plain,
    ! [SV266: $i,SV57: $i,SV409: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV409 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SV409 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1700]) ).

thf(2035,plain,
    ! [SV267: $i,SV58: $i,SV410: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV410 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SV410 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1701]) ).

thf(2036,plain,
    ! [SV268: $i,SV59: $i,SV411: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV411 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SV411 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1702]) ).

thf(2037,plain,
    ! [SV269: $i,SV60: $i,SV412: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV412 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SV412 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1703]) ).

thf(2038,plain,
    ! [SV270: $i,SV61: $i,SV413: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV413 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SV413 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1704]) ).

thf(2039,plain,
    ! [SV271: $i,SV62: $i,SV414: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV414 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SV414 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1705]) ).

thf(2040,plain,
    ! [SV272: $i,SV63: $i,SV415: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV415 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SV415 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1706]) ).

thf(2041,plain,
    ! [SV273: $i,SV64: $i,SV416: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV416 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SV416 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1707]) ).

thf(2042,plain,
    ! [SV274: $i,SV65: $i,SV417: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV417 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SV417 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1708]) ).

thf(2043,plain,
    ! [SV275: $i,SV66: $i,SV418: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV418 ) )
        | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SV418 ) ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1709]) ).

thf(2044,plain,
    ! [SV276: $i,SV67: $i,SV419: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV419 ) )
        | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SV419 ) ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1710]) ).

thf(2045,plain,
    ! [SV277: $i,SV68: $i,SV420: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV420 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SV420 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1711]) ).

thf(2046,plain,
    ! [SV278: $i,SV69: $i,SV421: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV421 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SV421 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1712]) ).

thf(2047,plain,
    ! [SV279: $i,SV70: $i,SV422: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV422 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SV422 ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1713]) ).

thf(2048,plain,
    ! [SV280: $i,SV71: $i,SV423: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV423 ) )
        | ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SV423 ) ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1714]) ).

thf(2049,plain,
    ! [SV281: $i,SV72: $i,SV424: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV424 ) )
        | ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SV424 ) ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1715]) ).

thf(2050,plain,
    ! [SV282: $i,SV73: $i,SV425: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV425 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SV425 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1716]) ).

thf(2051,plain,
    ! [SV283: $i,SV74: $i,SV426: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV426 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SV426 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1717]) ).

thf(2052,plain,
    ! [SV284: $i,SV75: $i,SV427: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV427 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SV427 ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1718]) ).

thf(2053,plain,
    ! [SV285: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV76 ) @ ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV76 = bot_bo620288102e_bool )
          | ( SV76
            = ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1719]) ).

thf(2054,plain,
    ! [SV77: $i] :
      ( ( ( is_fun1661590463l_bool @ SV77 )
        = $false )
      | ( ( ! [SY2704: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) )
              | ( SV77 = bot_bo1649642514l_bool )
              | ( SV77
                = ( insert1325755072e_bool @ SY2704 @ bot_bo1649642514l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1720]) ).

thf(2055,plain,
    ! [SV286: $i,SV78: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV78 ) @ ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) ) )
        = $true )
      | ( ( ( SV78 = bot_bo535777328l_bool )
          | ( SV78
            = ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1721]) ).

thf(2056,plain,
    ! [SV79: $i] :
      ( ( ( is_fun_pname_bool @ SV79 )
        = $false )
      | ( ( ! [SY2706: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) )
              | ( SV79 = bot_bo844097828e_bool )
              | ( SV79
                = ( insert_pname @ SY2706 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1722]) ).

thf(2057,plain,
    ( ( ( ~ ( hBOOL @ wT_bodies ) )
      = $true )
    | ( ( ! [C_1: $i] :
            ( ~ ( hBOOL @ ( wt @ C_1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true )
    | ( ( hBOOL @ hoare_165779456gleton )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1723]) ).

thf(2058,plain,
    ! [SV428: $i,SV287: $i,SV84: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SV287 @ SV428 ) ) )
        | ( SV84 = SV287 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SV428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1728]) ).

thf(2059,plain,
    ! [SV288: $i,SV85: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV85 )
          | ~ ( is_fun_pname_bool @ SV288 ) )
        = $true )
      | ( ( ! [SY3011: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SY3011 ) ) )
              | ( SV85 = SV288 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY3011 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1729]) ).

thf(2060,plain,
    ! [SV429: $i,SV289: $i,SV86: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SV289 @ SV429 ) ) )
        | ( SV86 = SV289 )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SV429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1730]) ).

thf(2061,plain,
    ! [SV290: $i,SV87: $i] :
      ( ( ( ~ ( is_pname @ SV87 )
          | ~ ( is_pname @ SV290 ) )
        = $true )
      | ( ( ! [SY3013: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SY3013 ) ) )
              | ( SV87 = SV290 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY3013 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1731]) ).

thf(2062,plain,
    ! [SV291: $i,SV88: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SV291 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV291 ) @ SV88 ) )
          | ( SV88 = SV291 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1732]) ).

thf(2063,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV89 )
          | ~ ( is_fun1661590463l_bool @ SV292 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1733]) ).

thf(2064,plain,
    ! [SV293: $i,SV90: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SV293 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV293 ) @ SV90 ) )
          | ( SV90 = SV293 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1734]) ).

thf(2065,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV91 )
          | ~ ( is_fun_pname_bool @ SV294 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1735]) ).

thf(2066,plain,
    ! [SV92: $i,SV430: $i,SV295: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SV430 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV430 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(2067,plain,
    ! [SV93: $i,SV431: $i,SV296: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SV431 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV431 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1737]) ).

thf(2068,plain,
    ! [SV94: $i,SV432: $i,SV297: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SV432 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1738]) ).

thf(2069,plain,
    ! [SV95: $i,SV433: $i,SV298: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SV433 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV433 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(2070,plain,
    ! [SV96: $i,SV434: $i,SV299: $i] :
      ( ( ! [SY3087: $i] :
            ( ( SV299
             != ( hAPP_H356885323e_bool @ SV434 @ SY3087 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3087 ) @ SV96 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1740]) ).

thf(2071,plain,
    ! [SV97: $i,SV435: $i,SV300: $i] :
      ( ( ! [SY3088: $i] :
            ( ( SV300
             != ( hAPP_H1049623551e_bool @ SV435 @ SY3088 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3088 ) @ SV97 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1741]) ).

thf(2072,plain,
    ! [SV98: $i,SV436: $i,SV301: $i] :
      ( ( ! [SY3089: $i] :
            ( ( SV301
             != ( hAPP_p61793385e_bool @ SV436 @ SY3089 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3089 ) @ SV98 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1742]) ).

thf(2073,plain,
    ! [SV99: $i,SV437: $i,SV302: $i] :
      ( ( ! [SY3090: $i] :
            ( ( SV302
             != ( hAPP_p442853985e_bool @ SV437 @ SY3090 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3090 ) @ SV99 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1743]) ).

thf(2074,plain,
    ! [SV100: $i,SV438: $i,SV303: $i] :
      ( ( ! [SY3091: $i] :
            ( ( SV303
             != ( hAPP_f888949707_state @ SV438 @ SY3091 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3091 ) @ SV100 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1744]) ).

thf(2075,plain,
    ! [SV101: $i,SV439: $i,SV304: $i] :
      ( ( ! [SY3092: $i] :
            ( ( SV304
             != ( hAPP_f1387463497_state @ SV439 @ SY3092 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3092 ) @ SV101 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1745]) ).

thf(2076,plain,
    ! [SV102: $i,SV440: $i,SV305: $i] :
      ( ( ! [SY3093: $i] :
            ( ( SV305
             != ( hAPP_H1621176307_pname @ SV440 @ SY3093 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3093 ) @ SV102 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1746]) ).

thf(2077,plain,
    ! [SV103: $i,SV441: $i,SV306: $i] :
      ( ( ! [SY3094: $i] :
            ( ( SV306
             != ( hAPP_pname_pname @ SV441 @ SY3094 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3094 ) @ SV103 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(2078,plain,
    ! [SV104: $i,SV442: $i,SV307: $i] :
      ( ( ! [SY3095: $i] :
            ( ( SV307
             != ( hAPP_f1297739591_pname @ SV442 @ SY3095 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3095 ) @ SV104 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1748]) ).

thf(2079,plain,
    ! [SV105: $i,SV443: $i,SV308: $i] :
      ( ( ! [SY3096: $i] :
            ( ( SV308
             != ( hAPP_f560369737_pname @ SV443 @ SY3096 ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3096 ) @ SV105 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1749]) ).

thf(2080,plain,
    ! [SV106: $i,SV444: $i,SV309: $i] :
      ( ( ! [SY3097: $i] :
            ( ( SV309
             != ( hAPP_p1422361149_state @ SV444 @ SY3097 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3097 ) @ SV106 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1750]) ).

thf(2081,plain,
    ! [SV107: $i,SV310: $i] :
      ( ( ( ( SV310 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV107 ) @ SV310 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1751]) ).

thf(2082,plain,
    ! [SV108: $i,SV311: $i] :
      ( ( ( ( SV311 != bot_bo535777328l_bool ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV108 ) @ SV311 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1752]) ).

thf(2083,plain,
    ! [SV109: $i,SV312: $i] :
      ( ( ( ( SV312 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV109 ) @ SV312 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1753]) ).

thf(2084,plain,
    ! [SV110: $i,SV313: $i] :
      ( ( ( ( SV313 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV110 ) @ SV313 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1754]) ).

thf(2085,plain,
    ! [SV115: $i,SV314: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV314 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SV314 ) )
          | ( ( insert_pname @ SV115 @ SV314 )
            = SV314 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1759]) ).

thf(2086,plain,
    ! [SV315: $i,SV116: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV116 ) @ SV315 ) ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV116 @ SV315 )
          = SV315 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1760]) ).

thf(2087,plain,
    ! [SV117: $i,SV445: $i,SV316: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ SV445 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ ( insert_pname @ SV117 @ SV445 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1761]) ).

thf(2088,plain,
    ! [SV118: $i,SV446: $i,SV317: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ SV446 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ ( insert1415133716_state @ SV118 @ SV446 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1762]) ).

thf(2089,plain,
    ! [SV447: $i,SV318: $i,SV119: $i] :
      ( ( ( insert1415133716_state @ SV119 @ ( insert1415133716_state @ SV318 @ SV447 ) )
        = ( insert1415133716_state @ SV318 @ ( insert1415133716_state @ SV119 @ SV447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1763]) ).

thf(2090,plain,
    ! [SV125: $i,SV448: $i,SV324: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV448 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV448 ) @ SV125 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(2091,plain,
    ! [SV126: $i,SV449: $i,SV325: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV449 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV449 ) @ SV126 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1770]) ).

thf(2092,plain,
    ! [SV127: $i,SV450: $i,SV326: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SV450 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1771]) ).

thf(2093,plain,
    ! [SV128: $i,SV451: $i,SV327: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SV451 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(2094,plain,
    ! [SV129: $i,SV452: $i,SV328: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV452 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV452 ) @ SV129 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1773]) ).

thf(2095,plain,
    ! [SV130: $i,SV453: $i,SV329: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV453 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV453 ) @ SV130 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1774]) ).

thf(2096,plain,
    ! [SV131: $i,SV454: $i,SV330: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SV454 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV454 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1775]) ).

thf(2097,plain,
    ! [SV132: $i,SV455: $i,SV331: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SV455 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1776]) ).

thf(2098,plain,
    ! [SV332: $i,SV133: $i] :
      ( ( ( ( SV133 != SV332 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV332 ) @ SV133 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1777]) ).

thf(2099,plain,
    ! [SV333: $i,SV134: $i] :
      ( ( ( ( SV134 != SV333 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV333 ) @ SV134 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1778]) ).

thf(2100,plain,
    ! [SV334: $i,SV135: $i] :
      ( ( ( ( SV135 != SV334 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV135 ) @ SV334 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1779]) ).

thf(2101,plain,
    ! [SV335: $i,SV136: $i] :
      ( ( ( ( SV136 != SV335 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV136 ) @ SV335 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1780]) ).

thf(2102,plain,
    ! [SV336: $i,SV139: $i,SV456: $i] :
      ( ( ! [SY3098: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SY3098 ) )
            | ( SV139
             != ( hAPP_p1422361149_state @ SV336 @ SV456 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SY3098 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1781]) ).

thf(2103,plain,
    ! [SV140: $i,SV457: $i,SV337: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV337 ) @ SV457 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ SV140 @ SV337 ) ) @ ( image_2003357581_state @ SV140 @ SV457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1782]) ).

thf(2104,plain,
    ! [SV339: $i,SV142: $i] :
      ( ( ( ( ( insert1415133716_state @ SV142 @ bot_bo620288102e_bool )
           != ( insert1415133716_state @ SV339 @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( SV142 = SV339 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1784]) ).

thf(2105,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ( ~ ( is_pname @ SV143 )
          | ~ ( is_pname @ SV340 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
          | ( SV143 = SV340 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1785]) ).

thf(2106,plain,
    ! [SV341: $i,SV144: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV144 ) @ ( insert1415133716_state @ SV341 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( SV144 = SV341 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1786]) ).

thf(2107,plain,
    ! [SV342: $i,SV145: $i] :
      ( ( ( insert1415133716_state @ SV145 @ SV342 )
        = bot_bo620288102e_bool )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1787]) ).

thf(2108,plain,
    ! [SV343: $i,SV146: $i] :
      ( ( bot_bo620288102e_bool
        = ( insert1415133716_state @ SV146 @ SV343 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1788]) ).

thf(2109,plain,
    ! [SV344: $i,SV148: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SV344 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV344 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1789]) ).

thf(2110,plain,
    ! [SV345: $i,SV149: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SV345 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV345 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1790]) ).

thf(2111,plain,
    ! [SV346: $i,SV150: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SV346 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV346 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1791]) ).

thf(2112,plain,
    ! [SV347: $i,SV151: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SV347 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV347 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1792]) ).

thf(2113,plain,
    ! [SV152: $i,SV348: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV348 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SV348 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1793]) ).

thf(2114,plain,
    ! [SV153: $i,SV349: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV349 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SV349 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1794]) ).

thf(2115,plain,
    ! [SV154: $i,SV350: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV350 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SV350 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1795]) ).

thf(2116,plain,
    ! [SV155: $i,SV351: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV351 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SV351 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1796]) ).

thf(2117,plain,
    ! [SV156: $i,SV458: $i,SV352: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV352 ) @ SV458 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV156 @ SV352 ) ) @ ( insert_pname @ SV156 @ SV458 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1797]) ).

thf(2118,plain,
    ! [SV157: $i,SV459: $i,SV353: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV353 ) @ SV459 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV157 @ SV353 ) ) @ ( insert1415133716_state @ SV157 @ SV459 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1798]) ).

thf(2119,plain,
    ! [SV158: $i,SV460: $i,SV354: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ SV460 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ ( insert_pname @ SV158 @ SV460 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1799]) ).

thf(2120,plain,
    ! [SV159: $i,SV461: $i,SV355: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ SV461 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ ( insert1415133716_state @ SV159 @ SV461 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1800]) ).

thf(2121,plain,
    ! [SV162: $i,SV462: $i,SV358: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV358 ) @ SV462 ) )
        | ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV162 @ SV358 ) @ ( image_2003357581_state @ SV162 @ SV462 ) )
          = ( image_2003357581_state @ SV162 @ SV462 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1803]) ).

thf(2122,plain,
    ! [SV463: $i,SV359: $i,SV163: $i] :
      ( ( ( image_2003357581_state @ SV163 @ ( insert_pname @ SV359 @ SV463 ) )
        = ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV163 @ SV359 ) @ ( image_2003357581_state @ SV163 @ SV463 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1804]) ).

thf(2123,plain,
    ! [SV164: $i,SV464: $i,SV360: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV360 ) @ SV464 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ SV164 @ SV360 ) ) @ ( image_2003357581_state @ SV164 @ SV464 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1805]) ).

thf(2124,plain,
    ! [SV361: $i,SV165: $i] :
      ( ( ( ! [SY3061: $i] :
              ( ( hAPP_p799580910on_com @ SV165 @ SV361 )
             != ( some_com @ SY3061 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV361 ) @ ( dom_pname_com @ SV165 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1806]) ).

thf(2125,plain,
    ! [SV465: $i] :
      ( ( ( ! [SY3099: $i] :
              ( ( ( hAPP_p799580910on_com @ body @ SV465 )
               != ( some_com @ SY3099 ) )
              | ( hBOOL @ ( wt @ SY3099 ) ) ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1807]) ).

thf(2126,plain,
    ! [SV168: $i] :
      ( ( ( hBOOL @ ( wt @ ( hAPP_pname_com @ body_1 @ SV168 ) ) )
        = $false )
      | ( ( ( hAPP_p799580910on_com @ body @ SV168 )
          = ( some_com @ ( sK4_Y_1 @ SV168 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1808]) ).

thf(2127,plain,
    ! [SV169: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV169 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV169 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1809]) ).

thf(2128,plain,
    ! [SV171: $i,SV362: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV362 ) @ SV171 ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV362 )
          | ~ ( hBOOL @ SV171 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1811]) ).

thf(2129,plain,
    ! [SV466: $i,SV172: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV172 ) @ SV466 ) ) )
        = $true )
      | ( ( hBOOL @ SV172 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1812]) ).

thf(2130,plain,
    ! [SV363: $i,SV173: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV173 ) @ SV363 ) ) )
        = $true )
      | ( ( hBOOL @ SV363 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1813]) ).

thf(2131,plain,
    ! [SV174: $i,SV364: $i] :
      ( ( ( ~ ( hBOOL @ SV364 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV364 ) @ SV174 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1814]) ).

thf(2132,plain,
    ! [SV175: $i,SV365: $i] :
      ( ( ( ~ ( hBOOL @ SV365 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV175 ) @ SV365 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1815]) ).

thf(2133,plain,
    ! [SV176: $i,SV366: $i] :
      ( ( ( hBOOL @ SV366 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV176 ) @ SV366 ) )
          | ( hBOOL @ SV176 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1816]) ).

thf(2134,plain,
    ! [SV177: $i,SV367: $i] :
      ( ( ( hBOOL @ SV367 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV367 ) @ SV177 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1817]) ).

thf(2135,plain,
    ! [SV178: $i,SV368: $i] :
      ( ( ( ~ ( hBOOL @ SV368 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV178 ) @ SV368 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1818]) ).

thf(2136,plain,
    ! [SV179: $i,SV369: $i] :
      ( ( ( hBOOL @ SV369 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SV369 ) )
          | ~ ( hBOOL @ SV179 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1819]) ).

thf(2137,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ( ~ ( is_pname @ SV180 )
          | ~ ( is_pname @ SV370 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
          | ( SV180 = SV370 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1820]) ).

thf(2138,plain,
    ! [SV371: $i,SV181: $i] :
      ( ( ( ( SV181 != SV371 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV181 ) @ SV371 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1821]) ).

thf(2139,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV182 )
          | ~ ( is_fun_pname_bool @ SV372 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
          | ( SV182 = SV372 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1822]) ).

thf(2140,plain,
    ! [SV373: $i,SV183: $i] :
      ( ( ( ( SV183 != SV373 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV183 ) @ SV373 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1823]) ).

thf(2141,plain,
    ! [SV374: $i,SV184: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV184 ) @ SV374 ) ) )
        = $true )
      | ( ( SV184 = SV374 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1824]) ).

thf(2142,plain,
    ! [SV375: $i,SV185: $i] :
      ( ( ( ( SV185 != SV375 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV185 ) @ SV375 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1825]) ).

thf(2143,plain,
    ! [SV376: $i,SV186: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV186 ) @ SV376 ) ) )
        = $true )
      | ( ( SV186 = SV376 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1826]) ).

thf(2144,plain,
    ! [SV377: $i,SV187: $i] :
      ( ( ( ( SV187 != SV377 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV187 ) @ SV377 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1827]) ).

thf(2145,plain,
    ! [SV467: $i,SV378: $i,SV188: $i] :
      ( ( ( hAPP_p1422361149_state @ ( cOMBB_699532858_pname @ SV188 @ SV378 ) @ SV467 )
        = ( hAPP_c1126217667_state @ SV188 @ ( hAPP_pname_com @ SV378 @ SV467 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1828]) ).

thf(2146,plain,
    ! [SV189: $i] :
      ( ( ( is_bool @ SV189 )
        = $false )
      | ( ( ! [SY2853: $i] :
              ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ SV189 ) @ SY2853 )
              = SV189 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1829]) ).

thf(2147,plain,
    ! [SV468: $i,SV379: $i,SV190: $i] :
      ( ( ( hAPP_f971112728l_bool @ ( cOMBB_1522210668e_bool @ SV190 @ SV379 ) @ SV468 )
        = ( hAPP_bool_bool @ SV190 @ ( hAPP_f971112728l_bool @ SV379 @ SV468 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1830]) ).

thf(2148,plain,
    ! [SV469: $i,SV380: $i,SV191: $i] :
      ( ( ( hAPP_f971112728l_bool @ ( cOMBS_2066081387l_bool @ SV191 @ SV380 ) @ SV469 )
        = ( hAPP_bool_bool @ ( hAPP_f637090980l_bool @ SV191 @ SV469 ) @ ( hAPP_f971112728l_bool @ SV380 @ SV469 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1831]) ).

thf(2149,plain,
    ! [SV470: $i,SV381: $i,SV192: $i] :
      ( ( ( hAPP_f637090980l_bool @ ( cOMBB_1585081418e_bool @ SV192 @ SV381 ) @ SV470 )
        = ( hAPP_b589554111l_bool @ SV192 @ ( hAPP_f971112728l_bool @ SV381 @ SV470 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1832]) ).

thf(2150,plain,
    ! [SV471: $i,SV382: $i,SV193: $i] :
      ( ( ( hAPP_H78829294e_bool @ ( hAPP_f98417237e_bool @ ( cOMBC_1734175330l_bool @ SV193 ) @ SV382 ) @ SV471 )
        = ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ SV193 @ SV471 ) @ SV382 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1833]) ).

thf(2151,plain,
    ! [SV472: $i,SV383: $i,SV194: $i] :
      ( ( ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ SV194 ) @ SV383 ) @ SV472 )
        = ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ SV194 @ SV472 ) @ SV383 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1834]) ).

thf(2152,plain,
    ! [SV473: $i,SV384: $i,SV195: $i] :
      ( ( ( hAPP_f971112728l_bool @ ( hAPP_f1201187855l_bool @ ( cOMBC_1114453604l_bool @ SV195 ) @ SV384 ) @ SV473 )
        = ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ SV195 @ SV473 ) @ SV384 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1835]) ).

thf(2153,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX1 )
          | ( SX1 != bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1836]) ).

thf(2154,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX1 )
          | ( SX1 = bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SX0 ) @ SX1 )
            = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1837]) ).

thf(2155,plain,
    ! [SV196: $i] :
      ( ( ~ ! [SY2866: $i,SY2867: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2867 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2866 ) @ SY2867 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2866 ) ) @ SY2867 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1838]) ).

thf(2156,plain,
    ! [SV196: $i] :
      ( ( ~ ~ ( ~ ! [SY2868: $i,SY2869: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) )
              | ~ ! [SY2870: $i,SY2871: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1838]) ).

thf(2157,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 != bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1839]) ).

thf(2158,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ bot_bo620288102e_bool ) )
          | ( SX0 = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1840]) ).

thf(2159,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1841]) ).

thf(2160,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1842]) ).

thf(2161,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
            = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1843]) ).

thf(2162,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SX1 ) ) @ SX0 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1844]) ).

thf(2163,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        | ~ ( ~ ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) )
            | ~ ~ ( ( SV197
                   != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1845]) ).

thf(2164,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1846]) ).

thf(2165,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1847]) ).

thf(2166,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1848]) ).

thf(2167,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1849]) ).

thf(2168,plain,
    ! [SV198: $i] :
      ( ( ~ ! [SY2874: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2874 )
              | ! [SY2875: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2874 @ SY2875 ) ) )
                  | ( SV198 = SY2874 )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2875 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1850]) ).

thf(2169,plain,
    ! [SV198: $i] :
      ( ( ~ ~ ( ~ ! [SY2876: $i] :
                    ( ~ ( is_pname @ SV198 )
                    | ~ ( is_pname @ SY2876 )
                    | ( SV198 != SY2876 )
                    | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) )
              | ~ ! [SY2878: $i] :
                    ( ~ ( is_pname @ SV198 )
                    | ~ ( is_pname @ SY2878 )
                    | ! [SY2879: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1850]) ).

thf(2170,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK3_X_1 @ SV386 @ SV199 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1851]) ).

thf(2171,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK31_X_1 @ SX0 ) ) ) )
          | ( ( collect_pname @ SX0 )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1852]) ).

thf(2172,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collect_pname @ SX0 )
           != bot_bo844097828e_bool )
          | ! [SX1: $i] :
              ( ~ ( is_pname @ SX1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1853]) ).

thf(2173,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1854]) ).

thf(2174,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 = bot_bo620288102e_bool )
          | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SX0 ) @ SX1 )
            = ( insert1325755072e_bool @ SX0 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1855]) ).

thf(2175,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 = bot_bo535777328l_bool )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SX0 ) ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1856]) ).

thf(2176,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) )
          | ( SX0 != bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1857]) ).

thf(2177,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( ( image_2003357581_state @ SX0 @ SX1 )
           != bot_bo620288102e_bool )
          | ( SX1 = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1858]) ).

thf(2178,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( SX1 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ SX0 @ SX1 )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1859]) ).

thf(2179,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1860]) ).

thf(2180,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 = bot_bo620288102e_bool )
          | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SX0 ) @ SX1 )
            = ( insert_pname @ SX0 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1861]) ).

thf(2181,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ ( sK25_X_1 @ SX0 ) ) ) )
          | ( bot_bo844097828e_bool
            = ( collect_pname @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1862]) ).

thf(2182,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo844097828e_bool
           != ( collect_pname @ SX0 ) )
          | ! [SX1: $i] :
              ( ~ ( is_pname @ SX1 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1863]) ).

thf(2183,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( bot_bo620288102e_bool
           != ( image_2003357581_state @ SX0 @ SX1 ) )
          | ( SX1 = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1864]) ).

thf(2184,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( SX1 != bot_bo844097828e_bool )
          | ( bot_bo620288102e_bool
            = ( image_2003357581_state @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1865]) ).

thf(2185,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK27_X_1 @ SX0 ) ) ) )
          | ( bot_bo1649642514l_bool
            = ( collec1974731493e_bool @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1866]) ).

thf(2186,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo1649642514l_bool
           != ( collec1974731493e_bool @ SX0 ) )
          | ! [SX1: $i] :
              ( ~ ( is_fun_pname_bool @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1867]) ).

thf(2187,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SX0 ) ) @ SX0 ) )
          | ( SX0 = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1868]) ).

thf(2188,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 != bot_bo535777328l_bool )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1869]) ).

thf(2189,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1870]) ).

thf(2190,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SX1 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1871]) ).

thf(2191,plain,
    ! [SV475: $i] :
      ( ( ( ! [SY3100: $i] :
              ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SY3100 @ SV475 ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SY3100 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
                        | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY3100 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SY3100 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
              | ~ ( hBOOL @ ( wt @ SV475 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SY3100 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1872]) ).

thf(2192,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1873]) ).

thf(2193,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1874]) ).

thf(2194,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                          | ( SV200 = SY3070 )
                          | ( SV200 = SY3071 ) )
                    | ~ ! [SY3072: $i] :
                          ( ! [SY3073: $i] :
                              ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                             != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                          | ( SV200 = SY3072 )
                          | ( SV387 = SY3072 ) ) )
              | ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                          | ( SV387 = SY3075 )
                          | ( SV200 = SY3075 ) )
                    | ~ ! [SY3076: $i,SY3077: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                          | ( SV387 = SY3077 )
                          | ( SV387 = SY3076 ) ) ) )
        | ~ ~ ( ~ ! [SY3078: $i,SY3079: $i] :
                    ( ( SV200 != SY3078 )
                    | ( SV387 != SY3079 )
                    | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                      = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) )
              | ~ ! [SY3080: $i,SY3081: $i] :
                    ( ( SV200 != SY3081 )
                    | ( SV387 != SY3080 )
                    | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                      = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1875]) ).

thf(2195,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ ( sK33_X_1 @ SX0 ) ) ) )
          | ( ( collec1974731493e_bool @ SX0 )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1876]) ).

thf(2196,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collec1974731493e_bool @ SX0 )
           != bot_bo1649642514l_bool )
          | ! [SX1: $i] :
              ( ~ ( is_fun_pname_bool @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1877]) ).

thf(2197,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                  | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                        | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                              | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(2198,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                  | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                        | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                    | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1879]) ).

thf(2199,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1880]) ).

thf(2200,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1881]) ).

thf(2201,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK28_X_1 @ SX0 ) ) )
          | ( bot_bo535777328l_bool
            = ( collec1823980261e_bool @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1882]) ).

thf(2202,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo535777328l_bool
           != ( collec1823980261e_bool @ SX0 ) )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1883]) ).

thf(2203,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ( SX0 != bot_bo844097828e_bool )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1884]) ).

thf(2204,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ bot_bo844097828e_bool ) )
          | ( SX0 = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1885]) ).

thf(2205,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_pname @ SX0 )
          | ~ ( is_pname @ SX1 )
          | ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1886]) ).

thf(2206,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_pname @ SX0 )
          | ~ ( is_pname @ SX1 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX0 ) @ ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1887]) ).

thf(2207,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1888]) ).

thf(2208,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1889]) ).

thf(2209,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK30_X_1 @ SX0 ) ) ) )
          | ( bot_bo1537088220l_bool
            = ( collec1613912337l_bool @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1890]) ).

thf(2210,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo1537088220l_bool
           != ( collec1613912337l_bool @ SX0 ) )
          | ! [SX1: $i] :
              ( ~ ( is_fun1661590463l_bool @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1891]) ).

thf(2211,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                        | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                  | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
            | ( SV478
             != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1892]) ).

thf(2212,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
            = ( insert1325755072e_bool @ SX1 @ bot_bo1649642514l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1893]) ).

thf(2213,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SX0 @ SX1 ) )
          | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SX1 ) ) @ SX0 ) )
            = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1894]) ).

thf(2214,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
            = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1895]) ).

thf(2215,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SX1 ) ) @ SX0 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1896]) ).

thf(2216,plain,
    ! [SV204: $i] :
      ( ( ~ ! [SY2900: $i,SY2901: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ SY2901 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ ( insert1415133716_state @ SV204 @ SY2901 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1897]) ).

thf(2217,plain,
    ! [SV204: $i] :
      ( ( ~ ! [SY2902: $i] :
              ( ( SY2902 != SV204 )
              | ! [SY2903: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2902 ) @ ( insert1415133716_state @ SV204 @ SY2903 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1897]) ).

thf(2218,plain,
    ! [SV205: $i] :
      ( ( ~ ! [SY2904: $i,SY2905: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ SY2905 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ ( insert_pname @ SV205 @ SY2905 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1898]) ).

thf(2219,plain,
    ! [SV205: $i] :
      ( ( ~ ! [SY2906: $i] :
              ( ( SY2906 != SV205 )
              | ! [SY2907: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2906 ) @ ( insert_pname @ SV205 @ SY2907 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1898]) ).

thf(2220,plain,
    ! [SV206: $i] :
      ( ( ~ ! [SY2908: $i] :
              ( ! [SY2909: $i] :
                  ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ SY2909 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ bot_bo620288102e_bool ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1899]) ).

thf(2221,plain,
    ! [SV206: $i] :
      ( ( ~ ! [SY2910: $i,SY2911: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2910 @ SY2911 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SY2911 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1899]) ).

thf(2222,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
            = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1900]) ).

thf(2223,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SX1 ) ) @ SX0 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1901]) ).

thf(2224,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                  | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                        | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                              | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1902]) ).

thf(2225,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1903]) ).

thf(2226,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SX1 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1904]) ).

thf(2227,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ ( sK36_X_1 @ SX0 ) ) ) )
          | ( ( collec1613912337l_bool @ SX0 )
            = bot_bo1537088220l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1905]) ).

thf(2228,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collec1613912337l_bool @ SX0 )
           != bot_bo1537088220l_bool )
          | ! [SX1: $i] :
              ( ~ ( is_fun1661590463l_bool @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1906]) ).

thf(2229,plain,
    ! [SV208: $i] :
      ( ( ~ ! [SY2914: $i,SY2915: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ SY2915 ) )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ ( insert1325755072e_bool @ SV208 @ SY2915 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1907]) ).

thf(2230,plain,
    ! [SV208: $i] :
      ( ( ~ ! [SY2916: $i] :
              ( ( SY2916 != SV208 )
              | ! [SY2917: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2916 ) @ ( insert1325755072e_bool @ SV208 @ SY2917 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1907]) ).

thf(2231,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( SX1 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1908]) ).

thf(2232,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX1 )
          | ( SX1 = bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SX0 ) @ SX1 )
            = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1909]) ).

thf(2233,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1910]) ).

thf(2234,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1911]) ).

thf(2235,plain,
    ! [SV209: $i] :
      ( ( ~ ! [SY2918: $i,SY2919: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2918 @ SY2919 ) ) )
              | ( SV209 = SY2918 )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2919 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1912]) ).

thf(2236,plain,
    ! [SV209: $i] :
      ( ( ~ ~ ( ~ ! [SY2920: $i] :
                    ( ( SV209 != SY2920 )
                    | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) )
              | ~ ! [SY2922: $i,SY2923: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
                    | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1912]) ).

thf(2237,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1913]) ).

thf(2238,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SX1 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1914]) ).

thf(2239,plain,
    ! [SV210: $i] :
      ( ( ~ ! [SY2924: $i,SY2925: $i] :
              ( ! [SY2926: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2926 ) @ SY2925 ) )
                  | ~ ( is_fun_pname_bool @ SY2926 )
                  | ( SV210
                   != ( image_2003357581_state @ SY2924 @ SY2926 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2924 @ SY2925 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1915]) ).

thf(2240,plain,
    ! [SV210: $i] :
      ( ( ~ ! [SY2927: $i,SY2928: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2927 @ SY2928 ) ) )
              | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) @ SY2928 ) )
                        | ~ ( is_fun_pname_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) )
                  | ( SV210
                   != ( image_2003357581_state @ SY2927 @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1915]) ).

thf(2241,plain,
    ! [SV211: $i] :
      ( ( ~ ! [SY2929: $i,SY2930: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2929 ) @ SY2930 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ ( insert1415133716_state @ SY2929 @ SV211 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ SV211 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1916]) ).

thf(2242,plain,
    ! [SV211: $i] :
      ( ( ~ ! [SY2931: $i,SY2932: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2931 ) @ SY2932 ) )
              | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ SV211 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ ( insert1415133716_state @ SY2931 @ SV211 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1916]) ).

thf(2243,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1917]) ).

thf(2244,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SX1 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1918]) ).

thf(2245,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX0 )
          | ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SX0 ) ) @ SX0 ) ) )
          | ( SX0 = bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1919]) ).

thf(2246,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX0 )
          | ( SX0 != bot_bo1649642514l_bool )
          | ! [SX1: $i] :
              ( ~ ( is_fun_pname_bool @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1920]) ).

thf(2247,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX0 )
          | ( SX0 = bot_bo1649642514l_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SX0 ) ) @ SX0 ) )
              | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1921]) ).

thf(2248,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun1661590463l_bool @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SX1 ) @ SX0 ) )
              | ~ ( is_fun_pname_bool @ SX1 ) )
          | ( SX0 != bot_bo1649642514l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1922]) ).

thf(2249,plain,
    ! [SV212: $i] :
      ( ( ~ ! [SY2933: $i,SY2934: $i] :
              ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ SY2934 ) )
              | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ ( insert1556680138e_bool @ SV212 @ SY2934 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1923]) ).

thf(2250,plain,
    ! [SV212: $i] :
      ( ( ~ ! [SY2935: $i] :
              ( ( SY2935 != SV212 )
              | ! [SY2936: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2935 ) @ ( insert1556680138e_bool @ SV212 @ SY2936 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1923]) ).

thf(2251,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1924]) ).

thf(2252,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1925]) ).

thf(2253,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1926]) ).

thf(2254,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1927]) ).

thf(2255,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1928]) ).

thf(2256,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1929]) ).

thf(2257,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY2937: $i,SY2938: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2937 ) @ SY2938 ) )
              | ( SV213 = SY2938 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ SY2937 @ SY2938 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1930]) ).

thf(2258,plain,
    ! [SV213: $i] :
      ( ( ~ ~ ( ~ ! [SY2939: $i,SY2940: $i] :
                    ( ( SV213 != SY2940 )
                    | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) )
              | ~ ! [SY2941: $i,SY2942: $i] :
                    ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
                    | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1930]) ).

thf(2259,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1931]) ).

thf(2260,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1932]) ).

thf(2261,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1933]) ).

thf(2262,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1934]) ).

thf(2263,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1935]) ).

thf(2264,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1936]) ).

thf(2265,plain,
    ! [SV214: $i] :
      ( ( ~ ! [SY2943: $i,SY2944: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2944 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2943 ) @ SY2944 ) )
              | ( SV214 = SY2944 )
              | ( hBOOL @ ( hAPP_pname_bool @ SY2943 @ SY2944 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1937]) ).

thf(2266,plain,
    ! [SV214: $i] :
      ( ( ~ ~ ( ~ ! [SY2945: $i,SY2946: $i] :
                    ( ~ ( is_pname @ SV214 )
                    | ~ ( is_pname @ SY2946 )
                    | ( SV214 != SY2946 )
                    | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) )
              | ~ ! [SY2947: $i,SY2948: $i] :
                    ( ~ ( is_pname @ SV214 )
                    | ~ ( is_pname @ SY2948 )
                    | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
                    | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1937]) ).

thf(2267,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1938]) ).

thf(2268,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 = bot_bo535777328l_bool )
          | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SX0 ) @ SX1 )
            = ( insert1415133716_state @ SX0 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1939]) ).

thf(2269,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK35_X_1 @ SX0 ) ) )
          | ( ( collec488126193l_bool @ SX0 )
            = bot_bo1761158942l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1940]) ).

thf(2270,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collec488126193l_bool @ SX0 )
           != bot_bo1761158942l_bool )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1941]) ).

thf(2271,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
            = ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1942]) ).

thf(2272,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) )
          | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SX1 ) ) @ SX0 ) )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1943]) ).

thf(2273,plain,
    ! [SV215: $i] :
      ( ( ~ ! [SY2949: $i,SY2950: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2950 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2949 ) @ SY2950 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2949 ) ) @ SY2950 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1944]) ).

thf(2274,plain,
    ! [SV215: $i] :
      ( ( ~ ~ ( ~ ! [SY2951: $i,SY2952: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
                    | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) )
              | ~ ! [SY2953: $i,SY2954: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
                    | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1944]) ).

thf(2275,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK32_X_1 @ SX0 ) ) )
          | ( ( collec307967673_state @ SX0 )
            = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1945]) ).

thf(2276,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collec307967673_state @ SX0 )
           != bot_bo620288102e_bool )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1946]) ).

thf(2277,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ ( sK29_X_1 @ SX0 ) ) )
          | ( bot_bo1761158942l_bool
            = ( collec488126193l_bool @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1947]) ).

thf(2278,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo1761158942l_bool
           != ( collec488126193l_bool @ SX0 ) )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1948]) ).

thf(2279,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ~ ( is_fun_pname_bool @ SX1 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1949]) ).

thf(2280,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ~ ( is_fun_pname_bool @ SX1 )
                | ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_fun_pname_bool @ SX0 )
                | ~ ( is_fun_pname_bool @ SX1 )
                | ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1950]) ).

thf(2281,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                  | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                        | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                    | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1951]) ).

thf(2282,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
            = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1952]) ).

thf(2283,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SX1 ) ) @ SX0 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1953]) ).

thf(2284,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_pname @ SX0 )
          | ~ ( is_pname @ SX1 )
          | ( ( hAPP_pname_com @ body_1 @ SX0 )
           != ( hAPP_pname_com @ body_1 @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1954]) ).

thf(2285,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_pname @ SX0 )
          | ~ ( is_pname @ SX1 )
          | ( SX0 != SX1 )
          | ( ( hAPP_pname_com @ body_1 @ SX0 )
            = ( hAPP_pname_com @ body_1 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1955]) ).

thf(2286,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SX0 ) ) @ SX0 ) )
          | ( SX0 = bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1956]) ).

thf(2287,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 != bot_bo620288102e_bool )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1957]) ).

thf(2288,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
            = ( insert1556680138e_bool @ SX1 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1958]) ).

thf(2289,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) )
          | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SX1 ) ) @ SX0 ) )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1959]) ).

thf(2290,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ~ ( ~ ( is_pname @ ( sK17_X_1 @ SX0 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SX0 ) ) @ SX0 ) ) )
          | ( SX0 = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1960]) ).

thf(2291,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ( SX0 != bot_bo844097828e_bool )
          | ! [SX1: $i] :
              ( ~ ( is_pname @ SX1 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1961]) ).

thf(2292,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ ( sK34_X_1 @ SX0 ) ) )
          | ( ( collec1823980261e_bool @ SX0 )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1962]) ).

thf(2293,plain,
    ( ( ! [SX0: $i] :
          ( ( ( collec1823980261e_bool @ SX0 )
           != bot_bo535777328l_bool )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1963]) ).

thf(2294,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1964]) ).

thf(2295,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX0 ) @ ( insert1415133716_state @ SX1 @ bot_bo620288102e_bool ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1965]) ).

thf(2296,plain,
    ! [SV217: $i] :
      ( ( ~ ! [SY2957: $i,SY2958: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SY2958 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SV217 ) )
              | ( ( insert1415133716_state @ SY2957 @ SY2958 )
               != ( insert1415133716_state @ SY2957 @ SV217 ) )
              | ( SY2958 = SV217 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1966]) ).

thf(2297,plain,
    ! [SV217: $i] :
      ( ( ~ ! [SY2959: $i,SY2960: $i] :
              ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SY2960 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SV217 ) )
              | ( SY2960 != SV217 )
              | ( ( insert1415133716_state @ SY2959 @ SY2960 )
                = ( insert1415133716_state @ SY2959 @ SV217 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1966]) ).

thf(2298,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1967]) ).

thf(2299,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1968]) ).

thf(2300,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 = bot_bo620288102e_bool )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SX0 ) ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1969]) ).

thf(2301,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SX1 ) @ SX0 ) )
          | ( SX0 != bot_bo620288102e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1970]) ).

thf(2302,plain,
    ( ( ! [SX0: $i] :
          ( ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ ( sK26_X_1 @ SX0 ) ) )
          | ( bot_bo620288102e_bool
            = ( collec307967673_state @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1971]) ).

thf(2303,plain,
    ( ( ! [SX0: $i] :
          ( ( bot_bo620288102e_bool
           != ( collec307967673_state @ SX0 ) )
          | ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1972]) ).

thf(2304,plain,
    ! [SV218: $i] :
      ( ( ~ ! [SY2961: $i,SY2962: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2961 ) @ SY2962 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ ( insert_pname @ SY2961 @ SV218 ) ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ SV218 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1973]) ).

thf(2305,plain,
    ! [SV218: $i] :
      ( ( ~ ! [SY2963: $i,SY2964: $i] :
              ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2963 ) @ SY2964 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ SV218 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ ( insert_pname @ SY2963 @ SV218 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1973]) ).

thf(2306,plain,
    ! [SV219: $i] :
      ( ( ~ ! [SY2965: $i,SY2966: $i] :
              ( ~ ( is_fun_pname_bool @ SV219 )
              | ~ ( is_fun_pname_bool @ SY2966 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SY2966 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SV219 ) )
              | ( ( insert_pname @ SY2965 @ SY2966 )
               != ( insert_pname @ SY2965 @ SV219 ) )
              | ( SY2966 = SV219 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1974]) ).

thf(2307,plain,
    ! [SV219: $i] :
      ( ( ~ ! [SY2967: $i,SY2968: $i] :
              ( ~ ( is_fun_pname_bool @ SV219 )
              | ~ ( is_fun_pname_bool @ SY2968 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SY2968 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SV219 ) )
              | ( SY2968 != SV219 )
              | ( ( insert_pname @ SY2967 @ SY2968 )
                = ( insert_pname @ SY2967 @ SV219 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1974]) ).

thf(2308,plain,
    ! [SV220: $i] :
      ( ( ~ ! [SY2969: $i,SY2970: $i] :
              ( ! [SY2971: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2971 ) @ SY2970 ) )
                  | ~ ( is_pname @ SY2971 )
                  | ( SV220
                   != ( hAPP_p1422361149_state @ SY2969 @ SY2971 ) ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2969 @ SY2970 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1975]) ).

thf(2309,plain,
    ! [SV220: $i] :
      ( ( ~ ! [SY2972: $i,SY2973: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2972 @ SY2973 ) ) )
              | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) @ SY2973 ) )
                        | ~ ( is_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) )
                  | ( SV220
                   != ( hAPP_p1422361149_state @ SY2972 @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1975]) ).

thf(2310,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
            = bot_bo535777328l_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1976]) ).

thf(2311,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 = bot_bo620288102e_bool )
          | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SX0 ) @ SX1 )
            = ( insert1556680138e_bool @ SX0 @ bot_bo535777328l_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1977]) ).

thf(2312,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
            = ( insert_pname @ SX1 @ bot_bo844097828e_bool ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1978]) ).

thf(2313,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ ( hAPP_pname_bool @ SX0 @ SX1 ) )
          | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SX1 ) ) @ SX0 ) )
            = bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1979]) ).

thf(2314,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ( SX0 = bot_bo844097828e_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SX0 ) ) @ SX0 ) )
              | ~ ( is_pname @ ( sK21_X_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1980]) ).

thf(2315,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SX1 ) @ SX0 ) )
              | ~ ( is_pname @ SX1 ) )
          | ( SX0 != bot_bo844097828e_bool ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1981]) ).

thf(2316,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1982]) ).

thf(2317,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1983]) ).

thf(2318,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV393 ) )
              | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1984]) ).

thf(2319,plain,
    ! [SV223: $i,SV4: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV4 ) @ SV223 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV223 ) @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1985]) ).

thf(2320,plain,
    ! [SV5: $i,SV394: $i,SV224: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV394 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SV394 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1986]) ).

thf(2321,plain,
    ! [SV6: $i,SV395: $i,SV225: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SV395 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SV395 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1987]) ).

thf(2322,plain,
    ! [SV7: $i,SV396: $i,SV226: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SV396 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV396 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1988]) ).

thf(2323,plain,
    ! [SV8: $i,SV397: $i,SV227: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ SV8 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1989]) ).

thf(2324,plain,
    ! [SV228: $i,SV9: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ SV228 ) ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_option_com_com @ the_com @ ( hAPP_p799580910on_com @ body @ SV9 ) ) ) @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV228 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ SV9 ) ) @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1990]) ).

thf(2325,plain,
    ! [SV16: $i,SV229: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV229 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_2003357581_state @ SV16 @ SV229 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1997]) ).

thf(2326,plain,
    ! [SV17: $i,SV230: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV230 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1705983821_pname @ SV17 @ SV230 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1998]) ).

thf(2327,plain,
    ! [SV18: $i,SV231: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV231 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1619336331_pname @ SV18 @ SV231 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1999]) ).

thf(2328,plain,
    ! [SV19: $i,SV232: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV232 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_187965177_pname @ SV19 @ SV232 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2000]) ).

thf(2329,plain,
    ! [SV20: $i,SV233: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV233 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_1283814551_pname @ SV20 @ SV233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2001]) ).

thf(2330,plain,
    ! [SV21: $i,SV234: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV234 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_677922117_state @ SV21 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2002]) ).

thf(2331,plain,
    ! [SV22: $i,SV235: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV235 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_892968839_state @ SV22 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2003]) ).

thf(2332,plain,
    ! [SV23: $i,SV236: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV236 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_18964633_state @ SV23 @ SV236 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2004]) ).

thf(2333,plain,
    ! [SV24: $i,SV237: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV237 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( image_516545147_state @ SV24 @ SV237 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2005]) ).

thf(2334,plain,
    ! [SV25: $i,SV238: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV238 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1642285373l_bool @ SV25 @ SV238 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2006]) ).

thf(2335,plain,
    ! [SV26: $i,SV239: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV239 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_288317893l_bool @ SV26 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2007]) ).

thf(2336,plain,
    ! [SV27: $i,SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV240 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_70449425e_bool @ SV27 @ SV240 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2008]) ).

thf(2337,plain,
    ! [SV28: $i,SV241: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV241 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_47868345e_bool @ SV28 @ SV241 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2009]) ).

thf(2338,plain,
    ! [SV29: $i,SV242: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV242 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( image_1210605179l_bool @ SV29 @ SV242 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2010]) ).

thf(2339,plain,
    ! [SV30: $i,SV243: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV243 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( image_1761575943l_bool @ SV30 @ SV243 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2011]) ).

thf(2340,plain,
    ! [SV31: $i,SV244: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV244 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( image_1828608335e_bool @ SV31 @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2341,plain,
    ! [SV32: $i,SV245: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV245 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( image_2131964411e_bool @ SV32 @ SV245 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2013]) ).

thf(2342,plain,
    ! [SV33: $i,SV246: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV246 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_54689091_pname @ SV33 @ SV246 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2014]) ).

thf(2343,plain,
    ! [SV34: $i,SV247: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV247 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( image_pname_pname @ SV34 @ SV247 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2015]) ).

thf(2344,plain,
    ! [SV39: $i,SV248: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV248 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV39 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2016]) ).

thf(2345,plain,
    ! [SV40: $i,SV249: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV249 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV40 @ SV249 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2017]) ).

thf(2346,plain,
    ! [SV41: $i,SV250: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV250 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( insert1117693814l_bool @ SV41 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2018]) ).

thf(2347,plain,
    ! [SV42: $i,SV251: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV251 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( insert203537868l_bool @ SV42 @ SV251 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2019]) ).

thf(2348,plain,
    ! [SV43: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV252 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV43 @ SV252 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2020]) ).

thf(2349,plain,
    ! [SV44: $i,SV253: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV253 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV44 @ SV253 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2021]) ).

thf(2350,plain,
    ! [SV45: $i,SV398: $i,SV254: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV254 ) @ SV398 ) ) )
        = $true )
      | ( ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV45 ) @ SV398 )
          = ( insert1415133716_state @ SV45 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2022]) ).

thf(2351,plain,
    ! [SV46: $i,SV399: $i,SV255: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV255 ) @ SV399 ) ) )
        = $true )
      | ( ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV46 ) @ SV399 )
          = ( insert_pname @ SV46 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2023]) ).

thf(2352,plain,
    ! [SV47: $i,SV400: $i,SV256: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV256 ) @ SV400 ) ) )
        = $true )
      | ( ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV47 ) @ SV400 )
          = ( insert1325755072e_bool @ SV47 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2024]) ).

thf(2353,plain,
    ! [SV48: $i,SV401: $i,SV257: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV257 ) @ SV401 ) ) )
        = $true )
      | ( ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV48 ) @ SV401 )
          = ( insert1556680138e_bool @ SV48 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2025]) ).

thf(2354,plain,
    ! [SV49: $i,SV402: $i,SV258: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV258 ) @ SV402 ) ) )
        = $true )
      | ( ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ SV49 ) @ SV402 )
          = ( insert1325755072e_bool @ SV49 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2026]) ).

thf(2355,plain,
    ! [SV50: $i,SV403: $i,SV259: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV259 ) @ SV403 ) ) )
        = $true )
      | ( ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ SV50 ) @ SV403 )
          = ( insert1556680138e_bool @ SV50 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2027]) ).

thf(2356,plain,
    ! [SV51: $i,SV404: $i,SV260: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV260 ) @ SV404 ) ) )
        = $true )
      | ( ( ( image_pname_pname @ ( cOMBK_pname_pname @ SV51 ) @ SV404 )
          = ( insert_pname @ SV51 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2028]) ).

thf(2357,plain,
    ! [SV52: $i,SV405: $i,SV261: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV261 ) @ SV405 ) ) )
        = $true )
      | ( ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV52 ) @ SV405 )
          = ( insert1415133716_state @ SV52 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2029]) ).

thf(2358,plain,
    ! [SV53: $i,SV406: $i,SV262: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV262 ) @ SV406 ) ) )
        = $true )
      | ( ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV53 ) @ SV406 )
          = ( insert1415133716_state @ SV53 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2030]) ).

thf(2359,plain,
    ! [SV54: $i,SV407: $i,SV263: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV263 ) @ SV407 ) ) )
        = $true )
      | ( ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ SV54 ) @ SV407 )
          = ( insert_pname @ SV54 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2031]) ).

thf(2360,plain,
    ! [SV55: $i,SV408: $i,SV264: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV264 ) @ SV408 ) ) )
        = $true )
      | ( ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ SV55 ) @ SV408 )
          = ( insert_pname @ SV55 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2032]) ).

thf(2361,plain,
    ! [SV481: $i,SV265: $i,SV56: $i] :
      ( ( ( ( ( hAPP_p799580910on_com @ SV56 @ SV265 )
           != ( some_com @ SV481 ) ) )
        = $true )
      | ( ( ( insert_pname @ SV265 @ ( dom_pname_com @ SV56 ) )
          = ( dom_pname_com @ SV56 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2033]) ).

thf(2362,plain,
    ! [SV266: $i,SV57: $i,SV409: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV409 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SV409 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2034]) ).

thf(2363,plain,
    ! [SV267: $i,SV58: $i,SV410: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV410 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SV410 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2035]) ).

thf(2364,plain,
    ! [SV268: $i,SV59: $i,SV411: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV411 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SV411 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2036]) ).

thf(2365,plain,
    ! [SV269: $i,SV60: $i,SV412: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV412 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SV412 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2037]) ).

thf(2366,plain,
    ! [SV270: $i,SV61: $i,SV413: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV413 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SV413 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2038]) ).

thf(2367,plain,
    ! [SV271: $i,SV62: $i,SV414: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV414 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SV414 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2039]) ).

thf(2368,plain,
    ! [SV272: $i,SV63: $i,SV415: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV415 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SV415 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2040]) ).

thf(2369,plain,
    ! [SV273: $i,SV64: $i,SV416: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV416 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SV416 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2041]) ).

thf(2370,plain,
    ! [SV274: $i,SV65: $i,SV417: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV417 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SV417 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2042]) ).

thf(2371,plain,
    ! [SV275: $i,SV66: $i,SV418: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV418 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SV418 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2043]) ).

thf(2372,plain,
    ! [SV276: $i,SV67: $i,SV419: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV419 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SV419 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2044]) ).

thf(2373,plain,
    ! [SV277: $i,SV68: $i,SV420: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV420 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SV420 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2045]) ).

thf(2374,plain,
    ! [SV278: $i,SV69: $i,SV421: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV421 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SV421 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2046]) ).

thf(2375,plain,
    ! [SV279: $i,SV70: $i,SV422: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV422 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SV422 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2047]) ).

thf(2376,plain,
    ! [SV280: $i,SV71: $i,SV423: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV423 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SV423 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2048]) ).

thf(2377,plain,
    ! [SV281: $i,SV72: $i,SV424: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV424 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SV424 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2049]) ).

thf(2378,plain,
    ! [SV282: $i,SV73: $i,SV425: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV425 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SV425 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2050]) ).

thf(2379,plain,
    ! [SV283: $i,SV74: $i,SV426: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV426 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SV426 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2051]) ).

thf(2380,plain,
    ! [SV284: $i,SV75: $i,SV427: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV427 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SV427 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2052]) ).

thf(2381,plain,
    ! [SV285: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV76 ) @ ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ( SV76 = bot_bo620288102e_bool )
          | ( SV76
            = ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2053]) ).

thf(2382,plain,
    ! [SV482: $i,SV77: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
          | ( SV77 = bot_bo1649642514l_bool )
          | ( SV77
            = ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV77 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2054]) ).

thf(2383,plain,
    ! [SV286: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV78 ) @ ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
        = $false )
      | ( ( ( SV78 = bot_bo535777328l_bool )
          | ( SV78
            = ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2055]) ).

thf(2384,plain,
    ! [SV483: $i,SV79: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
          | ( SV79 = bot_bo844097828e_bool )
          | ( SV79
            = ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV79 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2056]) ).

thf(2385,plain,
    ( ( ( hBOOL @ wT_bodies )
      = $false )
    | ( ( ! [C_1: $i] :
            ( ~ ( hBOOL @ ( wt @ C_1 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo620288102e_bool ) ) ) ) )
      = $true )
    | ( ( hBOOL @ hoare_165779456gleton )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2057]) ).

thf(2386,plain,
    ! [SV428: $i,SV287: $i,SV84: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SV287 @ SV428 ) ) ) )
        = $true )
      | ( ( ( SV84 = SV287 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SV428 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2058]) ).

thf(2387,plain,
    ! [SV288: $i,SV85: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV85 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV288 ) )
        = $true )
      | ( ( ! [SY3011: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SY3011 ) ) )
              | ( SV85 = SV288 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY3011 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2059]) ).

thf(2388,plain,
    ! [SV429: $i,SV289: $i,SV86: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SV289 @ SV429 ) ) ) )
        = $true )
      | ( ( ( SV86 = SV289 )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SV429 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2060]) ).

thf(2389,plain,
    ! [SV290: $i,SV87: $i] :
      ( ( ( ~ ( is_pname @ SV87 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV290 ) )
        = $true )
      | ( ( ! [SY3013: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SY3013 ) ) )
              | ( SV87 = SV290 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY3013 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2061]) ).

thf(2390,plain,
    ! [SV291: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SV291 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV291 ) @ SV88 ) )
          | ( SV88 = SV291 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2062]) ).

thf(2391,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV89 ) )
        = $true )
      | ( ( ~ ( is_fun1661590463l_bool @ SV292 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2063]) ).

thf(2392,plain,
    ! [SV293: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SV293 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV293 ) @ SV90 ) )
          | ( SV90 = SV293 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2064]) ).

thf(2393,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV91 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV294 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2065]) ).

thf(2394,plain,
    ! [SV92: $i,SV430: $i,SV295: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SV430 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV430 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2066]) ).

thf(2395,plain,
    ! [SV93: $i,SV431: $i,SV296: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SV431 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV431 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2067]) ).

thf(2396,plain,
    ! [SV94: $i,SV432: $i,SV297: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SV432 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV432 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2068]) ).

thf(2397,plain,
    ! [SV95: $i,SV433: $i,SV298: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SV433 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV433 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2069]) ).

thf(2398,plain,
    ! [SV96: $i,SV484: $i,SV434: $i,SV299: $i] :
      ( ( ( SV299
         != ( hAPP_H356885323e_bool @ SV434 @ SV484 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV484 ) @ SV96 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2070]) ).

thf(2399,plain,
    ! [SV97: $i,SV485: $i,SV435: $i,SV300: $i] :
      ( ( ( SV300
         != ( hAPP_H1049623551e_bool @ SV435 @ SV485 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV485 ) @ SV97 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2071]) ).

thf(2400,plain,
    ! [SV98: $i,SV486: $i,SV436: $i,SV301: $i] :
      ( ( ( SV301
         != ( hAPP_p61793385e_bool @ SV436 @ SV486 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV486 ) @ SV98 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2072]) ).

thf(2401,plain,
    ! [SV99: $i,SV487: $i,SV437: $i,SV302: $i] :
      ( ( ( SV302
         != ( hAPP_p442853985e_bool @ SV437 @ SV487 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV487 ) @ SV99 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2073]) ).

thf(2402,plain,
    ! [SV100: $i,SV488: $i,SV438: $i,SV303: $i] :
      ( ( ( SV303
         != ( hAPP_f888949707_state @ SV438 @ SV488 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV488 ) @ SV100 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2074]) ).

thf(2403,plain,
    ! [SV101: $i,SV489: $i,SV439: $i,SV304: $i] :
      ( ( ( SV304
         != ( hAPP_f1387463497_state @ SV439 @ SV489 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV489 ) @ SV101 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2075]) ).

thf(2404,plain,
    ! [SV102: $i,SV490: $i,SV440: $i,SV305: $i] :
      ( ( ( SV305
         != ( hAPP_H1621176307_pname @ SV440 @ SV490 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV490 ) @ SV102 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2076]) ).

thf(2405,plain,
    ! [SV103: $i,SV491: $i,SV441: $i,SV306: $i] :
      ( ( ( SV306
         != ( hAPP_pname_pname @ SV441 @ SV491 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV491 ) @ SV103 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2077]) ).

thf(2406,plain,
    ! [SV104: $i,SV492: $i,SV442: $i,SV307: $i] :
      ( ( ( SV307
         != ( hAPP_f1297739591_pname @ SV442 @ SV492 ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV492 ) @ SV104 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2078]) ).

thf(2407,plain,
    ! [SV105: $i,SV493: $i,SV443: $i,SV308: $i] :
      ( ( ( SV308
         != ( hAPP_f560369737_pname @ SV443 @ SV493 ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV493 ) @ SV105 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2408,plain,
    ! [SV106: $i,SV494: $i,SV444: $i,SV309: $i] :
      ( ( ( SV309
         != ( hAPP_p1422361149_state @ SV444 @ SV494 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV494 ) @ SV106 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2080]) ).

thf(2409,plain,
    ! [SV107: $i,SV310: $i] :
      ( ( ( SV310 = bot_bo1649642514l_bool )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV107 ) @ SV310 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2081]) ).

thf(2410,plain,
    ! [SV108: $i,SV311: $i] :
      ( ( ( SV311 = bot_bo535777328l_bool )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV108 ) @ SV311 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2082]) ).

thf(2411,plain,
    ! [SV109: $i,SV312: $i] :
      ( ( ( SV312 = bot_bo620288102e_bool )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV109 ) @ SV312 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2083]) ).

thf(2412,plain,
    ! [SV110: $i,SV313: $i] :
      ( ( ( SV313 = bot_bo844097828e_bool )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV110 ) @ SV313 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2084]) ).

thf(2413,plain,
    ! [SV115: $i,SV314: $i] :
      ( ( ( is_fun_pname_bool @ SV314 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SV314 ) )
          | ( ( insert_pname @ SV115 @ SV314 )
            = SV314 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2085]) ).

thf(2414,plain,
    ! [SV315: $i,SV116: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV116 ) @ SV315 ) )
        = $false )
      | ( ( ( insert1415133716_state @ SV116 @ SV315 )
          = SV315 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2086]) ).

thf(2415,plain,
    ! [SV117: $i,SV445: $i,SV316: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ SV445 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ ( insert_pname @ SV117 @ SV445 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2087]) ).

thf(2416,plain,
    ! [SV118: $i,SV446: $i,SV317: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ SV446 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ ( insert1415133716_state @ SV118 @ SV446 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2088]) ).

thf(2417,plain,
    ! [SV125: $i,SV448: $i,SV324: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV448 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV448 ) @ SV125 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2090]) ).

thf(2418,plain,
    ! [SV126: $i,SV449: $i,SV325: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV449 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV449 ) @ SV126 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2091]) ).

thf(2419,plain,
    ! [SV127: $i,SV450: $i,SV326: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SV450 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV450 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2092]) ).

thf(2420,plain,
    ! [SV128: $i,SV451: $i,SV327: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SV451 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV451 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2093]) ).

thf(2421,plain,
    ! [SV129: $i,SV452: $i,SV328: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV452 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV452 ) @ SV129 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2094]) ).

thf(2422,plain,
    ! [SV130: $i,SV453: $i,SV329: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV453 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV453 ) @ SV130 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2095]) ).

thf(2423,plain,
    ! [SV131: $i,SV454: $i,SV330: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SV454 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV454 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2096]) ).

thf(2424,plain,
    ! [SV132: $i,SV455: $i,SV331: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SV455 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV455 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2097]) ).

thf(2425,plain,
    ! [SV332: $i,SV133: $i] :
      ( ( ( SV133 = SV332 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV332 ) @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2098]) ).

thf(2426,plain,
    ! [SV333: $i,SV134: $i] :
      ( ( ( SV134 = SV333 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV333 ) @ SV134 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2099]) ).

thf(2427,plain,
    ! [SV334: $i,SV135: $i] :
      ( ( ( SV135 = SV334 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV135 ) @ SV334 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2100]) ).

thf(2428,plain,
    ! [SV335: $i,SV136: $i] :
      ( ( ( SV136 = SV335 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV136 ) @ SV335 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2101]) ).

thf(2429,plain,
    ! [SV336: $i,SV139: $i,SV495: $i,SV456: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SV495 ) )
        | ( SV139
         != ( hAPP_p1422361149_state @ SV336 @ SV456 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SV495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2102]) ).

thf(2430,plain,
    ! [SV140: $i,SV457: $i,SV337: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV337 ) @ SV457 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ SV140 @ SV337 ) ) @ ( image_2003357581_state @ SV140 @ SV457 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2103]) ).

thf(2431,plain,
    ! [SV339: $i,SV142: $i] :
      ( ( ( ( insert1415133716_state @ SV142 @ bot_bo620288102e_bool )
          = ( insert1415133716_state @ SV339 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( SV142 = SV339 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2104]) ).

thf(2432,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ( ~ ( is_pname @ SV143 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV340 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
          | ( SV143 = SV340 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2105]) ).

thf(2433,plain,
    ! [SV341: $i,SV144: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV144 ) @ ( insert1415133716_state @ SV341 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( SV144 = SV341 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2106]) ).

thf(2434,plain,
    ! [SV344: $i,SV148: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SV344 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV344 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2109]) ).

thf(2435,plain,
    ! [SV345: $i,SV149: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SV345 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV345 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2110]) ).

thf(2436,plain,
    ! [SV346: $i,SV150: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SV346 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV346 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2111]) ).

thf(2437,plain,
    ! [SV347: $i,SV151: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SV347 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV347 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2112]) ).

thf(2438,plain,
    ! [SV152: $i,SV348: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV348 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SV348 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2113]) ).

thf(2439,plain,
    ! [SV153: $i,SV349: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV349 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SV349 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2114]) ).

thf(2440,plain,
    ! [SV154: $i,SV350: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV350 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SV350 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2115]) ).

thf(2441,plain,
    ! [SV155: $i,SV351: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV351 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SV351 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2116]) ).

thf(2442,plain,
    ! [SV156: $i,SV458: $i,SV352: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV352 ) @ SV458 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV156 @ SV352 ) ) @ ( insert_pname @ SV156 @ SV458 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2117]) ).

thf(2443,plain,
    ! [SV157: $i,SV459: $i,SV353: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV353 ) @ SV459 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV157 @ SV353 ) ) @ ( insert1415133716_state @ SV157 @ SV459 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2118]) ).

thf(2444,plain,
    ! [SV158: $i,SV460: $i,SV354: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ SV460 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ ( insert_pname @ SV158 @ SV460 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2119]) ).

thf(2445,plain,
    ! [SV159: $i,SV461: $i,SV355: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ SV461 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ ( insert1415133716_state @ SV159 @ SV461 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2120]) ).

thf(2446,plain,
    ! [SV162: $i,SV462: $i,SV358: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV358 ) @ SV462 ) ) )
        = $true )
      | ( ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV162 @ SV358 ) @ ( image_2003357581_state @ SV162 @ SV462 ) )
          = ( image_2003357581_state @ SV162 @ SV462 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2121]) ).

thf(2447,plain,
    ! [SV164: $i,SV464: $i,SV360: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV360 ) @ SV464 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ SV164 @ SV360 ) ) @ ( image_2003357581_state @ SV164 @ SV464 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2123]) ).

thf(2448,plain,
    ! [SV496: $i,SV361: $i,SV165: $i] :
      ( ( ( ( ( hAPP_p799580910on_com @ SV165 @ SV361 )
           != ( some_com @ SV496 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV361 ) @ ( dom_pname_com @ SV165 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2124]) ).

thf(2449,plain,
    ! [SV497: $i,SV465: $i] :
      ( ( ( ( ( hAPP_p799580910on_com @ body @ SV465 )
           != ( some_com @ SV497 ) )
          | ( hBOOL @ ( wt @ SV497 ) ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2125]) ).

thf(2450,plain,
    ! [SV169: $i] :
      ( ( ( hBOOL @ SV169 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV169 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2127]) ).

thf(2451,plain,
    ! [SV171: $i,SV362: $i] :
      ( ( ( ~ ( hBOOL @ SV362 ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV171 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV362 ) @ SV171 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2128]) ).

thf(2452,plain,
    ! [SV466: $i,SV172: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV172 ) @ SV466 ) )
        = $false )
      | ( ( hBOOL @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2129]) ).

thf(2453,plain,
    ! [SV363: $i,SV173: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV173 ) @ SV363 ) )
        = $false )
      | ( ( hBOOL @ SV363 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2130]) ).

thf(2454,plain,
    ! [SV174: $i,SV364: $i] :
      ( ( ( hBOOL @ SV364 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV364 ) @ SV174 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2131]) ).

thf(2455,plain,
    ! [SV175: $i,SV365: $i] :
      ( ( ( hBOOL @ SV365 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV175 ) @ SV365 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2132]) ).

thf(2456,plain,
    ! [SV366: $i,SV176: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV176 ) @ SV366 ) ) )
        = $true )
      | ( ( hBOOL @ SV176 )
        = $true )
      | ( ( hBOOL @ SV366 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2133]) ).

thf(2457,plain,
    ! [SV178: $i,SV368: $i] :
      ( ( ( hBOOL @ SV368 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV178 ) @ SV368 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2135]) ).

thf(2458,plain,
    ! [SV369: $i,SV179: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SV369 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV179 ) )
        = $true )
      | ( ( hBOOL @ SV369 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2136]) ).

thf(2459,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ( ~ ( is_pname @ SV180 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV370 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
          | ( SV180 = SV370 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2137]) ).

thf(2460,plain,
    ! [SV371: $i,SV181: $i] :
      ( ( ( SV181 = SV371 )
        = $false )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV181 ) @ SV371 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2138]) ).

thf(2461,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV182 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV372 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
          | ( SV182 = SV372 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2139]) ).

thf(2462,plain,
    ! [SV373: $i,SV183: $i] :
      ( ( ( SV183 = SV373 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV183 ) @ SV373 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2140]) ).

thf(2463,plain,
    ! [SV374: $i,SV184: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV184 ) @ SV374 ) )
        = $false )
      | ( ( SV184 = SV374 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2141]) ).

thf(2464,plain,
    ! [SV375: $i,SV185: $i] :
      ( ( ( SV185 = SV375 )
        = $false )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV185 ) @ SV375 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2142]) ).

thf(2465,plain,
    ! [SV376: $i,SV186: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV186 ) @ SV376 ) )
        = $false )
      | ( ( SV186 = SV376 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2143]) ).

thf(2466,plain,
    ! [SV377: $i,SV187: $i] :
      ( ( ( SV187 = SV377 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV187 ) @ SV377 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2144]) ).

thf(2467,plain,
    ! [SV498: $i,SV189: $i] :
      ( ( ( ( hAPP_f971112728l_bool @ ( cOMBK_129401207e_bool @ SV189 ) @ SV498 )
          = SV189 )
        = $true )
      | ( ( is_bool @ SV189 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2146]) ).

thf(2468,plain,
    ! [SV499: $i] :
      ( ( ! [SY3101: $i] :
            ( ~ ( is_fun1661590463l_bool @ SY3101 )
            | ( SY3101 != bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SY3101 )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2153]) ).

thf(2469,plain,
    ! [SV500: $i] :
      ( ( ! [SY3102: $i] :
            ( ~ ( is_fun1661590463l_bool @ SY3102 )
            | ( SY3102 = bot_bo1649642514l_bool )
            | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV500 ) @ SY3102 )
              = ( insert1415133716_state @ SV500 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2154]) ).

thf(2470,plain,
    ! [SV196: $i] :
      ( ( ! [SY2866: $i,SY2867: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2867 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2866 ) @ SY2867 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2866 ) ) @ SY2867 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2155]) ).

thf(2471,plain,
    ! [SV196: $i] :
      ( ( ~ ( ~ ! [SY2868: $i,SY2869: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) )
            | ~ ! [SY2870: $i,SY2871: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2156]) ).

thf(2472,plain,
    ! [SV501: $i] :
      ( ( ( SV501 != bot_bo620288102e_bool )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV501 ) @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2157]) ).

thf(2473,plain,
    ! [SV502: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV502 ) @ bot_bo620288102e_bool ) )
        | ( SV502 = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2158]) ).

thf(2474,plain,
    ! [SV503: $i] :
      ( ( ! [SY3103: $i] :
            ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SY3103 ) ) )
            | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SY3103 ) @ SV503 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2159]) ).

thf(2475,plain,
    ! [SV504: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV504 ) ) )
        | ! [SY3104: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SY3104 ) @ SV504 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2160]) ).

thf(2476,plain,
    ! [SV505: $i] :
      ( ( ! [SY3105: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV505 @ SY3105 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SY3105 ) ) @ SV505 ) )
              = ( insert1325755072e_bool @ SY3105 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2161]) ).

thf(2477,plain,
    ! [SV506: $i] :
      ( ( ! [SY3106: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV506 @ SY3106 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SY3106 ) ) @ SV506 ) )
              = bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2162]) ).

thf(2478,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) )
              | ~ ~ ( ( SV197
                     != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2163]) ).

thf(2479,plain,
    ! [SV507: $i] :
      ( ( ! [SY3107: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SY3107 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SY3107 ) @ SV507 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2164]) ).

thf(2480,plain,
    ! [SV508: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV508 ) ) )
        | ! [SY3108: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SY3108 ) @ SV508 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2165]) ).

thf(2481,plain,
    ! [SV509: $i] :
      ( ( ! [SY3109: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV509 ) @ SY3109 ) )
            | ( hBOOL @ ( hAPP_pname_bool @ SY3109 @ SV509 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2166]) ).

thf(2482,plain,
    ! [SV510: $i] :
      ( ( ! [SY3110: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SY3110 @ SV510 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV510 ) @ SY3110 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2167]) ).

thf(2483,plain,
    ! [SV198: $i] :
      ( ( ! [SY2874: $i] :
            ( ~ ( is_pname @ SV198 )
            | ~ ( is_pname @ SY2874 )
            | ! [SY2875: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2874 @ SY2875 ) ) )
                | ( SV198 = SY2874 )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2875 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2168]) ).

thf(2484,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ! [SY2876: $i] :
                  ( ~ ( is_pname @ SV198 )
                  | ~ ( is_pname @ SY2876 )
                  | ( SV198 != SY2876 )
                  | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) )
            | ~ ! [SY2878: $i] :
                  ( ~ ( is_pname @ SV198 )
                  | ~ ( is_pname @ SY2878 )
                  | ! [SY2879: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                      | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2169]) ).

thf(2485,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( is_pname @ ( sK3_X_1 @ SV386 @ SV199 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2170]) ).

thf(2486,plain,
    ! [SV511: $i] :
      ( ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SV511 ) )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SV511 @ ( sK31_X_1 @ SV511 ) ) ) )
        | ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2171]) ).

thf(2487,plain,
    ! [SV512: $i] :
      ( ( ( ( collect_pname @ SV512 )
         != bot_bo844097828e_bool )
        | ! [SY3111: $i] :
            ( ~ ( is_pname @ SY3111 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SY3111 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2172]) ).

thf(2488,plain,
    ! [SV513: $i] :
      ( ( ! [SY3112: $i] :
            ( ( SY3112 != bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV513 ) @ SY3112 )
              = bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2173]) ).

thf(2489,plain,
    ! [SV514: $i] :
      ( ( ! [SY3113: $i] :
            ( ( SY3113 = bot_bo620288102e_bool )
            | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV514 ) @ SY3113 )
              = ( insert1325755072e_bool @ SV514 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2174]) ).

thf(2490,plain,
    ! [SV515: $i] :
      ( ( ( SV515 = bot_bo535777328l_bool )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SV515 ) ) @ SV515 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2175]) ).

thf(2491,plain,
    ! [SV516: $i] :
      ( ( ! [SY3114: $i] :
            ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3114 ) @ SV516 ) )
        | ( SV516 != bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2176]) ).

thf(2492,plain,
    ! [SV517: $i] :
      ( ( ! [SY3115: $i] :
            ( ~ ( is_fun_pname_bool @ SY3115 )
            | ( ( image_2003357581_state @ SV517 @ SY3115 )
             != bot_bo620288102e_bool )
            | ( SY3115 = bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2177]) ).

thf(2493,plain,
    ! [SV518: $i] :
      ( ( ! [SY3116: $i] :
            ( ~ ( is_fun_pname_bool @ SY3116 )
            | ( SY3116 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ SV518 @ SY3116 )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2178]) ).

thf(2494,plain,
    ! [SV519: $i] :
      ( ( ! [SY3117: $i] :
            ( ( SY3117 != bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV519 ) @ SY3117 )
              = bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2495,plain,
    ! [SV520: $i] :
      ( ( ! [SY3118: $i] :
            ( ( SY3118 = bot_bo620288102e_bool )
            | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV520 ) @ SY3118 )
              = ( insert_pname @ SV520 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2180]) ).

thf(2496,plain,
    ! [SV521: $i] :
      ( ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SV521 ) )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SV521 @ ( sK25_X_1 @ SV521 ) ) ) )
        | ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2181]) ).

thf(2497,plain,
    ! [SV522: $i] :
      ( ( ( bot_bo844097828e_bool
         != ( collect_pname @ SV522 ) )
        | ! [SY3119: $i] :
            ( ~ ( is_pname @ SY3119 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SY3119 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2182]) ).

thf(2498,plain,
    ! [SV523: $i] :
      ( ( ! [SY3120: $i] :
            ( ~ ( is_fun_pname_bool @ SY3120 )
            | ( bot_bo620288102e_bool
             != ( image_2003357581_state @ SV523 @ SY3120 ) )
            | ( SY3120 = bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2183]) ).

thf(2499,plain,
    ! [SV524: $i] :
      ( ( ! [SY3121: $i] :
            ( ~ ( is_fun_pname_bool @ SY3121 )
            | ( SY3121 != bot_bo844097828e_bool )
            | ( bot_bo620288102e_bool
              = ( image_2003357581_state @ SV524 @ SY3121 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2184]) ).

thf(2500,plain,
    ! [SV525: $i] :
      ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SV525 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV525 @ ( sK27_X_1 @ SV525 ) ) ) )
        | ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2185]) ).

thf(2501,plain,
    ! [SV526: $i] :
      ( ( ( bot_bo1649642514l_bool
         != ( collec1974731493e_bool @ SV526 ) )
        | ! [SY3122: $i] :
            ( ~ ( is_fun_pname_bool @ SY3122 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SY3122 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2186]) ).

thf(2502,plain,
    ! [SV527: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SV527 ) ) @ SV527 ) )
        | ( SV527 = bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2187]) ).

thf(2503,plain,
    ! [SV528: $i] :
      ( ( ( SV528 != bot_bo535777328l_bool )
        | ! [SY3123: $i] :
            ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3123 ) @ SV528 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2188]) ).

thf(2504,plain,
    ! [SV529: $i] :
      ( ( ! [SY3124: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV529 @ SY3124 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3124 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2189]) ).

thf(2505,plain,
    ! [SV530: $i] :
      ( ( ! [SY3125: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SY3125 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV530 @ SY3125 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2190]) ).

thf(2506,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
          | ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2191]) ).

thf(2507,plain,
    ! [SV532: $i] :
      ( ( ! [SY3126: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SY3126 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SY3126 ) @ SV532 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2192]) ).

thf(2508,plain,
    ! [SV533: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV533 ) ) )
        | ! [SY3127: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SY3127 ) @ SV533 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2193]) ).

thf(2509,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                          | ( SV200 = SY3070 )
                          | ( SV200 = SY3071 ) )
                    | ~ ! [SY3072: $i] :
                          ( ! [SY3073: $i] :
                              ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                             != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                          | ( SV200 = SY3072 )
                          | ( SV387 = SY3072 ) ) )
              | ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                          | ( SV387 = SY3075 )
                          | ( SV200 = SY3075 ) )
                    | ~ ! [SY3076: $i,SY3077: $i] :
                          ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                          | ( SV387 = SY3077 )
                          | ( SV387 = SY3076 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2194]) ).

thf(2510,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ! [SY3078: $i,SY3079: $i] :
                    ( ( SV200 != SY3078 )
                    | ( SV387 != SY3079 )
                    | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                      = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) )
              | ~ ! [SY3080: $i,SY3081: $i] :
                    ( ( SV200 != SY3081 )
                    | ( SV387 != SY3080 )
                    | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                      = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2194]) ).

thf(2511,plain,
    ! [SV534: $i] :
      ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SV534 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV534 @ ( sK33_X_1 @ SV534 ) ) ) )
        | ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2195]) ).

thf(2512,plain,
    ! [SV535: $i] :
      ( ( ( ( collec1974731493e_bool @ SV535 )
         != bot_bo1649642514l_bool )
        | ! [SY3128: $i] :
            ( ~ ( is_fun_pname_bool @ SY3128 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SY3128 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2196]) ).

thf(2513,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2197]) ).

thf(2514,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2198]) ).

thf(2515,plain,
    ! [SV536: $i] :
      ( ( ! [SY3129: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SY3129 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SY3129 ) @ SV536 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2199]) ).

thf(2516,plain,
    ! [SV537: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV537 ) ) )
        | ! [SY3130: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SY3130 ) @ SV537 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2200]) ).

thf(2517,plain,
    ! [SV538: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV538 @ ( sK28_X_1 @ SV538 ) ) )
        | ( bot_bo535777328l_bool
          = ( collec1823980261e_bool @ SV538 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2201]) ).

thf(2518,plain,
    ! [SV539: $i] :
      ( ( ( bot_bo535777328l_bool
         != ( collec1823980261e_bool @ SV539 ) )
        | ! [SY3131: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV539 @ SY3131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2202]) ).

thf(2519,plain,
    ! [SV540: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV540 )
        | ( SV540 != bot_bo844097828e_bool )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV540 ) @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2203]) ).

thf(2520,plain,
    ! [SV541: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV541 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV541 ) @ bot_bo844097828e_bool ) )
        | ( SV541 = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2204]) ).

thf(2521,plain,
    ! [SV542: $i] :
      ( ( ! [SY3132: $i] :
            ( ~ ( is_pname @ SV542 )
            | ~ ( is_pname @ SY3132 )
            | ( SV542 != SY3132 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SY3132 @ bot_bo844097828e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2205]) ).

thf(2522,plain,
    ! [SV543: $i] :
      ( ( ! [SY3133: $i] :
            ( ~ ( is_pname @ SV543 )
            | ~ ( is_pname @ SY3133 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SY3133 @ bot_bo844097828e_bool ) ) )
            | ( SV543 = SY3133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2206]) ).

thf(2523,plain,
    ! [SV544: $i] :
      ( ( ! [SY3134: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SY3134 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SY3134 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2207]) ).

thf(2524,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2208]) ).

thf(2525,plain,
    ! [SV545: $i] :
      ( ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SV545 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV545 @ ( sK30_X_1 @ SV545 ) ) ) )
        | ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2209]) ).

thf(2526,plain,
    ! [SV546: $i] :
      ( ( ( bot_bo1537088220l_bool
         != ( collec1613912337l_bool @ SV546 ) )
        | ! [SY3135: $i] :
            ( ~ ( is_fun1661590463l_bool @ SY3135 )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SY3135 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2210]) ).

thf(2527,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                          | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
              | ( SV478
               != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2211]) ).

thf(2528,plain,
    ! [SV547: $i] :
      ( ( ! [SY3136: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV547 @ SY3136 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SY3136 ) ) @ SV547 ) )
              = ( insert1325755072e_bool @ SY3136 @ bot_bo1649642514l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2212]) ).

thf(2529,plain,
    ! [SV548: $i] :
      ( ( ! [SY3137: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV548 @ SY3137 ) )
            | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SY3137 ) ) @ SV548 ) )
              = bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2213]) ).

thf(2530,plain,
    ! [SV549: $i] :
      ( ( ! [SY3138: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV549 @ SY3138 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SY3138 ) ) @ SV549 ) )
              = ( insert1556680138e_bool @ SY3138 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2214]) ).

thf(2531,plain,
    ! [SV550: $i] :
      ( ( ! [SY3139: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV550 @ SY3139 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SY3139 ) ) @ SV550 ) )
              = bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2215]) ).

thf(2532,plain,
    ! [SV204: $i] :
      ( ( ! [SY2900: $i,SY2901: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ SY2901 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2900 ) @ ( insert1415133716_state @ SV204 @ SY2901 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2216]) ).

thf(2533,plain,
    ! [SV204: $i] :
      ( ( ! [SY2902: $i] :
            ( ( SY2902 != SV204 )
            | ! [SY2903: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2902 ) @ ( insert1415133716_state @ SV204 @ SY2903 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2217]) ).

thf(2534,plain,
    ! [SV205: $i] :
      ( ( ! [SY2904: $i,SY2905: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ SY2905 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2904 ) @ ( insert_pname @ SV205 @ SY2905 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2218]) ).

thf(2535,plain,
    ! [SV205: $i] :
      ( ( ! [SY2906: $i] :
            ( ( SY2906 != SV205 )
            | ! [SY2907: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2906 ) @ ( insert_pname @ SV205 @ SY2907 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2219]) ).

thf(2536,plain,
    ! [SV206: $i] :
      ( ( ! [SY2908: $i] :
            ( ! [SY2909: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ SY2909 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2908 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2220]) ).

thf(2537,plain,
    ! [SV206: $i] :
      ( ( ! [SY2910: $i,SY2911: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SY2910 @ SY2911 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SY2911 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2221]) ).

thf(2538,plain,
    ! [SV551: $i] :
      ( ( ! [SY3140: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV551 @ SY3140 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SY3140 ) ) @ SV551 ) )
              = ( insert1415133716_state @ SY3140 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2222]) ).

thf(2539,plain,
    ! [SV552: $i] :
      ( ( ! [SY3141: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV552 @ SY3141 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SY3141 ) ) @ SV552 ) )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2223]) ).

thf(2540,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2224]) ).

thf(2541,plain,
    ! [SV553: $i] :
      ( ( ! [SY3142: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV553 @ SY3142 ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY3142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2225]) ).

thf(2542,plain,
    ! [SV554: $i] :
      ( ( ! [SY3143: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SY3143 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV554 @ SY3143 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2226]) ).

thf(2543,plain,
    ! [SV555: $i] :
      ( ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SV555 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV555 @ ( sK36_X_1 @ SV555 ) ) ) )
        | ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2227]) ).

thf(2544,plain,
    ! [SV556: $i] :
      ( ( ( ( collec1613912337l_bool @ SV556 )
         != bot_bo1537088220l_bool )
        | ! [SY3144: $i] :
            ( ~ ( is_fun1661590463l_bool @ SY3144 )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SY3144 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2545,plain,
    ! [SV208: $i] :
      ( ( ! [SY2914: $i,SY2915: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ SY2915 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2914 ) @ ( insert1325755072e_bool @ SV208 @ SY2915 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2229]) ).

thf(2546,plain,
    ! [SV208: $i] :
      ( ( ! [SY2916: $i] :
            ( ( SY2916 != SV208 )
            | ! [SY2917: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY2916 ) @ ( insert1325755072e_bool @ SV208 @ SY2917 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2230]) ).

thf(2547,plain,
    ! [SV557: $i] :
      ( ( ! [SY3145: $i] :
            ( ~ ( is_fun_pname_bool @ SY3145 )
            | ( SY3145 != bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SY3145 )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2231]) ).

thf(2548,plain,
    ! [SV558: $i] :
      ( ( ! [SY3146: $i] :
            ( ~ ( is_fun_pname_bool @ SY3146 )
            | ( SY3146 = bot_bo844097828e_bool )
            | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV558 ) @ SY3146 )
              = ( insert1415133716_state @ SV558 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2232]) ).

thf(2549,plain,
    ! [SV559: $i] :
      ( ( ! [SY3147: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SY3147 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SY3147 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2233]) ).

thf(2550,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2234]) ).

thf(2551,plain,
    ! [SV209: $i] :
      ( ( ! [SY2918: $i,SY2919: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2918 @ SY2919 ) ) )
            | ( SV209 = SY2918 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2919 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2235]) ).

thf(2552,plain,
    ! [SV209: $i] :
      ( ( ~ ( ~ ! [SY2920: $i] :
                  ( ( SV209 != SY2920 )
                  | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) )
            | ~ ! [SY2922: $i,SY2923: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
                  | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2236]) ).

thf(2553,plain,
    ! [SV560: $i] :
      ( ( ! [SY3148: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV560 @ SY3148 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2237]) ).

thf(2554,plain,
    ! [SV561: $i] :
      ( ( ! [SY3149: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SY3149 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV561 @ SY3149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2238]) ).

thf(2555,plain,
    ! [SV210: $i] :
      ( ( ! [SY2924: $i,SY2925: $i] :
            ( ! [SY2926: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2926 ) @ SY2925 ) )
                | ~ ( is_fun_pname_bool @ SY2926 )
                | ( SV210
                 != ( image_2003357581_state @ SY2924 @ SY2926 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2924 @ SY2925 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2239]) ).

thf(2556,plain,
    ! [SV210: $i] :
      ( ( ! [SY2927: $i,SY2928: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SY2927 @ SY2928 ) ) )
            | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) @ SY2928 ) )
                      | ~ ( is_fun_pname_bool @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) )
                | ( SV210
                 != ( image_2003357581_state @ SY2927 @ ( sK15_AA @ SY2928 @ SY2927 @ SV210 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2240]) ).

thf(2557,plain,
    ! [SV211: $i] :
      ( ( ! [SY2929: $i,SY2930: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2929 ) @ SY2930 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ ( insert1415133716_state @ SY2929 @ SV211 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2930 ) @ SV211 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2241]) ).

thf(2558,plain,
    ! [SV211: $i] :
      ( ( ! [SY2931: $i,SY2932: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2931 ) @ SY2932 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ SV211 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2932 ) @ ( insert1415133716_state @ SY2931 @ SV211 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2242]) ).

thf(2559,plain,
    ! [SV562: $i] :
      ( ( ! [SY3150: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV562 @ SY3150 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY3150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2243]) ).

thf(2560,plain,
    ! [SV563: $i] :
      ( ( ! [SY3151: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SY3151 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV563 @ SY3151 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2244]) ).

thf(2561,plain,
    ! [SV564: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV564 )
        | ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) )
        | ( SV564 = bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2245]) ).

thf(2562,plain,
    ! [SV565: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV565 )
        | ( SV565 != bot_bo1649642514l_bool )
        | ! [SY3152: $i] :
            ( ~ ( is_fun_pname_bool @ SY3152 )
            | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3152 ) @ SV565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2563,plain,
    ! [SV566: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV566 )
        | ( SV566 = bot_bo1649642514l_bool )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
            | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2247]) ).

thf(2564,plain,
    ! [SV567: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV567 )
        | ! [SY3153: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3153 ) @ SV567 ) )
            | ~ ( is_fun_pname_bool @ SY3153 ) )
        | ( SV567 != bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2248]) ).

thf(2565,plain,
    ! [SV212: $i] :
      ( ( ! [SY2933: $i,SY2934: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ SY2934 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2933 ) @ ( insert1556680138e_bool @ SV212 @ SY2934 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2249]) ).

thf(2566,plain,
    ! [SV212: $i] :
      ( ( ! [SY2935: $i] :
            ( ( SY2935 != SV212 )
            | ! [SY2936: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY2935 ) @ ( insert1556680138e_bool @ SV212 @ SY2936 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2250]) ).

thf(2567,plain,
    ! [SV568: $i] :
      ( ( ! [SY3154: $i] :
            ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SY3154 ) ) )
            | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SY3154 ) @ SV568 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2251]) ).

thf(2568,plain,
    ! [SV569: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV569 ) ) )
        | ! [SY3155: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SY3155 ) @ SV569 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2252]) ).

thf(2569,plain,
    ! [SV570: $i] :
      ( ( ! [SY3156: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV570 ) @ SY3156 ) )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ SY3156 @ SV570 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2253]) ).

thf(2570,plain,
    ! [SV571: $i] :
      ( ( ! [SY3157: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY3157 @ SV571 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV571 ) @ SY3157 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2254]) ).

thf(2571,plain,
    ! [SV572: $i] :
      ( ( ! [SY3158: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SY3158 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3158 ) @ SV572 ) )
            | ( SV572 = SY3158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2572,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2256]) ).

thf(2573,plain,
    ! [SV213: $i] :
      ( ( ! [SY2937: $i,SY2938: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2937 ) @ SY2938 ) )
            | ( SV213 = SY2938 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ SY2937 @ SY2938 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2257]) ).

thf(2574,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ! [SY2939: $i,SY2940: $i] :
                  ( ( SV213 != SY2940 )
                  | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) )
            | ~ ! [SY2941: $i,SY2942: $i] :
                  ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
                  | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2258]) ).

thf(2575,plain,
    ! [SV573: $i] :
      ( ( ! [SY3159: $i] :
            ( ( SV573 != SY3159 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV573 ) @ SY3159 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2259]) ).

thf(2576,plain,
    ! [SV574: $i] :
      ( ( ! [SY3160: $i] :
            ( ( SV574 != SY3160 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3160 ) @ SV574 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2260]) ).

thf(2577,plain,
    ! [SV575: $i] :
      ( ( ! [SY3161: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SY3161 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SY3161 ) @ SV575 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2261]) ).

thf(2578,plain,
    ! [SV576: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV576 ) ) )
        | ! [SY3162: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SY3162 ) @ SV576 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2262]) ).

thf(2579,plain,
    ! [SV577: $i] :
      ( ( ! [SY3163: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) )
            | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SY3163 ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SY3163 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2580,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2264]) ).

thf(2581,plain,
    ! [SV214: $i] :
      ( ( ! [SY2943: $i,SY2944: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY2944 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2943 ) @ SY2944 ) )
            | ( SV214 = SY2944 )
            | ( hBOOL @ ( hAPP_pname_bool @ SY2943 @ SY2944 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2265]) ).

thf(2582,plain,
    ! [SV214: $i] :
      ( ( ~ ( ~ ! [SY2945: $i,SY2946: $i] :
                  ( ~ ( is_pname @ SV214 )
                  | ~ ( is_pname @ SY2946 )
                  | ( SV214 != SY2946 )
                  | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) )
            | ~ ! [SY2947: $i,SY2948: $i] :
                  ( ~ ( is_pname @ SV214 )
                  | ~ ( is_pname @ SY2948 )
                  | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
                  | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2266]) ).

thf(2583,plain,
    ! [SV578: $i] :
      ( ( ! [SY3164: $i] :
            ( ( SY3164 != bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV578 ) @ SY3164 )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2267]) ).

thf(2584,plain,
    ! [SV579: $i] :
      ( ( ! [SY3165: $i] :
            ( ( SY3165 = bot_bo535777328l_bool )
            | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV579 ) @ SY3165 )
              = ( insert1415133716_state @ SV579 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2268]) ).

thf(2585,plain,
    ! [SV580: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV580 @ ( sK35_X_1 @ SV580 ) ) )
        | ( ( collec488126193l_bool @ SV580 )
          = bot_bo1761158942l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2269]) ).

thf(2586,plain,
    ! [SV581: $i] :
      ( ( ( ( collec488126193l_bool @ SV581 )
         != bot_bo1761158942l_bool )
        | ! [SY3166: $i] :
            ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV581 @ SY3166 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2270]) ).

thf(2587,plain,
    ! [SV582: $i] :
      ( ( ! [SY3167: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV582 @ SY3167 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SY3167 ) ) @ SV582 ) )
              = ( insert1415133716_state @ SY3167 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2588,plain,
    ! [SV583: $i] :
      ( ( ! [SY3168: $i] :
            ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV583 @ SY3168 ) )
            | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SY3168 ) ) @ SV583 ) )
              = bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2272]) ).

thf(2589,plain,
    ! [SV215: $i] :
      ( ( ! [SY2949: $i,SY2950: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2950 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2949 ) @ SY2950 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2949 ) ) @ SY2950 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2273]) ).

thf(2590,plain,
    ! [SV215: $i] :
      ( ( ~ ( ~ ! [SY2951: $i,SY2952: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) )
            | ~ ! [SY2953: $i,SY2954: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2274]) ).

thf(2591,plain,
    ! [SV584: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV584 @ ( sK32_X_1 @ SV584 ) ) )
        | ( ( collec307967673_state @ SV584 )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2275]) ).

thf(2592,plain,
    ! [SV585: $i] :
      ( ( ( ( collec307967673_state @ SV585 )
         != bot_bo620288102e_bool )
        | ! [SY3169: $i] :
            ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV585 @ SY3169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2276]) ).

thf(2593,plain,
    ! [SV586: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV586 @ ( sK29_X_1 @ SV586 ) ) )
        | ( bot_bo1761158942l_bool
          = ( collec488126193l_bool @ SV586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2277]) ).

thf(2594,plain,
    ! [SV587: $i] :
      ( ( ( bot_bo1761158942l_bool
         != ( collec488126193l_bool @ SV587 ) )
        | ! [SY3170: $i] :
            ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV587 @ SY3170 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2278]) ).

thf(2595,plain,
    ! [SV588: $i] :
      ( ( ! [SY3171: $i] :
            ( ~ ( is_fun_pname_bool @ SV588 )
            | ~ ( is_fun_pname_bool @ SY3171 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SY3171 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3171 ) @ SV588 ) )
            | ( SV588 = SY3171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2279]) ).

thf(2596,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2280]) ).

thf(2597,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2281]) ).

thf(2598,plain,
    ! [SV589: $i] :
      ( ( ! [SY3172: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV589 @ SY3172 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SY3172 ) ) @ SV589 ) )
              = ( insert_pname @ SY3172 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2282]) ).

thf(2599,plain,
    ! [SV590: $i] :
      ( ( ! [SY3173: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SV590 @ SY3173 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SY3173 ) ) @ SV590 ) )
              = bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2283]) ).

thf(2600,plain,
    ! [SV591: $i] :
      ( ( ! [SY3174: $i] :
            ( ~ ( is_pname @ SV591 )
            | ~ ( is_pname @ SY3174 )
            | ( ( hAPP_pname_com @ body_1 @ SV591 )
             != ( hAPP_pname_com @ body_1 @ SY3174 ) )
            | ( SV591 = SY3174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2284]) ).

thf(2601,plain,
    ! [SV592: $i] :
      ( ( ! [SY3175: $i] :
            ( ~ ( is_pname @ SV592 )
            | ~ ( is_pname @ SY3175 )
            | ( SV592 != SY3175 )
            | ( ( hAPP_pname_com @ body_1 @ SV592 )
              = ( hAPP_pname_com @ body_1 @ SY3175 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2285]) ).

thf(2602,plain,
    ! [SV593: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SV593 ) ) @ SV593 ) )
        | ( SV593 = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2286]) ).

thf(2603,plain,
    ! [SV594: $i] :
      ( ( ( SV594 != bot_bo620288102e_bool )
        | ! [SY3176: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3176 ) @ SV594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2287]) ).

thf(2604,plain,
    ! [SV595: $i] :
      ( ( ! [SY3177: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV595 @ SY3177 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SY3177 ) ) @ SV595 ) )
              = ( insert1556680138e_bool @ SY3177 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2288]) ).

thf(2605,plain,
    ! [SV596: $i] :
      ( ( ! [SY3178: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV596 @ SY3178 ) )
            | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SY3178 ) ) @ SV596 ) )
              = bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2289]) ).

thf(2606,plain,
    ! [SV597: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV597 )
        | ~ ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) )
        | ( SV597 = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2290]) ).

thf(2607,plain,
    ! [SV598: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV598 )
        | ( SV598 != bot_bo844097828e_bool )
        | ! [SY3179: $i] :
            ( ~ ( is_pname @ SY3179 )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3179 ) @ SV598 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2291]) ).

thf(2608,plain,
    ! [SV599: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV599 @ ( sK34_X_1 @ SV599 ) ) )
        | ( ( collec1823980261e_bool @ SV599 )
          = bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2292]) ).

thf(2609,plain,
    ! [SV600: $i] :
      ( ( ( ( collec1823980261e_bool @ SV600 )
         != bot_bo535777328l_bool )
        | ! [SY3180: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV600 @ SY3180 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2293]) ).

thf(2610,plain,
    ! [SV601: $i] :
      ( ( ! [SY3181: $i] :
            ( ( SV601 != SY3181 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV601 ) @ ( insert1415133716_state @ SY3181 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2294]) ).

thf(2611,plain,
    ! [SV602: $i] :
      ( ( ! [SY3182: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV602 ) @ ( insert1415133716_state @ SY3182 @ bot_bo620288102e_bool ) ) )
            | ( SV602 = SY3182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2295]) ).

thf(2612,plain,
    ! [SV217: $i] :
      ( ( ! [SY2957: $i,SY2958: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SY2958 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2957 ) @ SV217 ) )
            | ( ( insert1415133716_state @ SY2957 @ SY2958 )
             != ( insert1415133716_state @ SY2957 @ SV217 ) )
            | ( SY2958 = SV217 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2296]) ).

thf(2613,plain,
    ! [SV217: $i] :
      ( ( ! [SY2959: $i,SY2960: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SY2960 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY2959 ) @ SV217 ) )
            | ( SY2960 != SV217 )
            | ( ( insert1415133716_state @ SY2959 @ SY2960 )
              = ( insert1415133716_state @ SY2959 @ SV217 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2297]) ).

thf(2614,plain,
    ! [SV603: $i] :
      ( ( ! [SY3183: $i] :
            ( ( SV603 != SY3183 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV603 ) @ SY3183 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2298]) ).

thf(2615,plain,
    ! [SV604: $i] :
      ( ( ! [SY3184: $i] :
            ( ( SV604 != SY3184 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3184 ) @ SV604 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2299]) ).

thf(2616,plain,
    ! [SV605: $i] :
      ( ( ( SV605 = bot_bo620288102e_bool )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SV605 ) ) @ SV605 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2300]) ).

thf(2617,plain,
    ! [SV606: $i] :
      ( ( ! [SY3185: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3185 ) @ SV606 ) )
        | ( SV606 != bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2301]) ).

thf(2618,plain,
    ! [SV607: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV607 @ ( sK26_X_1 @ SV607 ) ) )
        | ( bot_bo620288102e_bool
          = ( collec307967673_state @ SV607 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2302]) ).

thf(2619,plain,
    ! [SV608: $i] :
      ( ( ( bot_bo620288102e_bool
         != ( collec307967673_state @ SV608 ) )
        | ! [SY3186: $i] :
            ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV608 @ SY3186 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2303]) ).

thf(2620,plain,
    ! [SV218: $i] :
      ( ( ! [SY2961: $i,SY2962: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2961 ) @ SY2962 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ ( insert_pname @ SY2961 @ SV218 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2962 ) @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2304]) ).

thf(2621,plain,
    ! [SV218: $i] :
      ( ( ! [SY2963: $i,SY2964: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2963 ) @ SY2964 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ SV218 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2964 ) @ ( insert_pname @ SY2963 @ SV218 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2305]) ).

thf(2622,plain,
    ! [SV219: $i] :
      ( ( ! [SY2965: $i,SY2966: $i] :
            ( ~ ( is_fun_pname_bool @ SV219 )
            | ~ ( is_fun_pname_bool @ SY2966 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SY2966 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2965 ) @ SV219 ) )
            | ( ( insert_pname @ SY2965 @ SY2966 )
             != ( insert_pname @ SY2965 @ SV219 ) )
            | ( SY2966 = SV219 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2306]) ).

thf(2623,plain,
    ! [SV219: $i] :
      ( ( ! [SY2967: $i,SY2968: $i] :
            ( ~ ( is_fun_pname_bool @ SV219 )
            | ~ ( is_fun_pname_bool @ SY2968 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SY2968 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2967 ) @ SV219 ) )
            | ( SY2968 != SV219 )
            | ( ( insert_pname @ SY2967 @ SY2968 )
              = ( insert_pname @ SY2967 @ SV219 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2307]) ).

thf(2624,plain,
    ! [SV220: $i] :
      ( ( ! [SY2969: $i,SY2970: $i] :
            ( ! [SY2971: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY2971 ) @ SY2970 ) )
                | ~ ( is_pname @ SY2971 )
                | ( SV220
                 != ( hAPP_p1422361149_state @ SY2969 @ SY2971 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2969 @ SY2970 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2308]) ).

thf(2625,plain,
    ! [SV220: $i] :
      ( ( ! [SY2972: $i,SY2973: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SY2972 @ SY2973 ) ) )
            | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) @ SY2973 ) )
                      | ~ ( is_pname @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) )
                | ( SV220
                 != ( hAPP_p1422361149_state @ SY2972 @ ( sK16_X_1 @ SY2973 @ SY2972 @ SV220 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2309]) ).

thf(2626,plain,
    ! [SV609: $i] :
      ( ( ! [SY3187: $i] :
            ( ( SY3187 != bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV609 ) @ SY3187 )
              = bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2310]) ).

thf(2627,plain,
    ! [SV610: $i] :
      ( ( ! [SY3188: $i] :
            ( ( SY3188 = bot_bo620288102e_bool )
            | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV610 ) @ SY3188 )
              = ( insert1556680138e_bool @ SV610 @ bot_bo535777328l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2311]) ).

thf(2628,plain,
    ! [SV611: $i] :
      ( ( ! [SY3189: $i] :
            ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV611 @ SY3189 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SY3189 ) ) @ SV611 ) )
              = ( insert_pname @ SY3189 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2312]) ).

thf(2629,plain,
    ! [SV612: $i] :
      ( ( ! [SY3190: $i] :
            ( ( hBOOL @ ( hAPP_pname_bool @ SV612 @ SY3190 ) )
            | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SY3190 ) ) @ SV612 ) )
              = bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2313]) ).

thf(2630,plain,
    ! [SV613: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV613 )
        | ( SV613 = bot_bo844097828e_bool )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
            | ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2314]) ).

thf(2631,plain,
    ! [SV614: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV614 )
        | ! [SY3191: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3191 ) @ SV614 ) )
            | ~ ( is_pname @ SY3191 ) )
        | ( SV614 != bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2315]) ).

thf(2632,plain,
    ! [SV615: $i] :
      ( ( ! [SY3192: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SY3192 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SY3192 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2316]) ).

thf(2633,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2317]) ).

thf(2634,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV393 ) )
          | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2318]) ).

thf(2635,plain,
    ! [SV5: $i,SV394: $i,SV224: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV394 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SV394 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2320]) ).

thf(2636,plain,
    ! [SV6: $i,SV395: $i,SV225: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SV395 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SV395 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2321]) ).

thf(2637,plain,
    ! [SV7: $i,SV396: $i,SV226: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SV396 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV396 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2322]) ).

thf(2638,plain,
    ! [SV8: $i,SV397: $i,SV227: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ SV8 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2323]) ).

thf(2639,plain,
    ! [SV45: $i,SV398: $i,SV254: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV254 ) @ SV398 ) )
        = $false )
      | ( ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV45 ) @ SV398 )
          = ( insert1415133716_state @ SV45 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2350]) ).

thf(2640,plain,
    ! [SV46: $i,SV399: $i,SV255: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV255 ) @ SV399 ) )
        = $false )
      | ( ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV46 ) @ SV399 )
          = ( insert_pname @ SV46 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2351]) ).

thf(2641,plain,
    ! [SV47: $i,SV400: $i,SV256: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV256 ) @ SV400 ) )
        = $false )
      | ( ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV47 ) @ SV400 )
          = ( insert1325755072e_bool @ SV47 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2352]) ).

thf(2642,plain,
    ! [SV48: $i,SV401: $i,SV257: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV257 ) @ SV401 ) )
        = $false )
      | ( ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV48 ) @ SV401 )
          = ( insert1556680138e_bool @ SV48 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2353]) ).

thf(2643,plain,
    ! [SV49: $i,SV402: $i,SV258: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV258 ) @ SV402 ) )
        = $false )
      | ( ( ( image_47868345e_bool @ ( cOMBK_37193422_pname @ SV49 ) @ SV402 )
          = ( insert1325755072e_bool @ SV49 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2354]) ).

thf(2644,plain,
    ! [SV50: $i,SV403: $i,SV259: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV259 ) @ SV403 ) )
        = $false )
      | ( ( ( image_70449425e_bool @ ( cOMBK_1706929794_pname @ SV50 ) @ SV403 )
          = ( insert1556680138e_bool @ SV50 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2355]) ).

thf(2645,plain,
    ! [SV51: $i,SV404: $i,SV260: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV260 ) @ SV404 ) )
        = $false )
      | ( ( ( image_pname_pname @ ( cOMBK_pname_pname @ SV51 ) @ SV404 )
          = ( insert_pname @ SV51 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2356]) ).

thf(2646,plain,
    ! [SV52: $i,SV405: $i,SV261: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV261 ) @ SV405 ) )
        = $false )
      | ( ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV52 ) @ SV405 )
          = ( insert1415133716_state @ SV52 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2357]) ).

thf(2647,plain,
    ! [SV53: $i,SV406: $i,SV262: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV262 ) @ SV406 ) )
        = $false )
      | ( ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV53 ) @ SV406 )
          = ( insert1415133716_state @ SV53 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2358]) ).

thf(2648,plain,
    ! [SV54: $i,SV407: $i,SV263: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV263 ) @ SV407 ) )
        = $false )
      | ( ( ( image_1283814551_pname @ ( cOMBK_948730864e_bool @ SV54 ) @ SV407 )
          = ( insert_pname @ SV54 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2359]) ).

thf(2649,plain,
    ! [SV55: $i,SV408: $i,SV264: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV264 ) @ SV408 ) )
        = $false )
      | ( ( ( image_187965177_pname @ ( cOMBK_1589414042e_bool @ SV55 ) @ SV408 )
          = ( insert_pname @ SV55 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2360]) ).

thf(2650,plain,
    ! [SV481: $i,SV265: $i,SV56: $i] :
      ( ( ( ( hAPP_p799580910on_com @ SV56 @ SV265 )
          = ( some_com @ SV481 ) )
        = $false )
      | ( ( ( insert_pname @ SV265 @ ( dom_pname_com @ SV56 ) )
          = ( dom_pname_com @ SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2361]) ).

thf(2651,plain,
    ! [SV266: $i,SV57: $i,SV409: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV409 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SV409 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2362]) ).

thf(2652,plain,
    ! [SV267: $i,SV58: $i,SV410: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV410 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SV410 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2363]) ).

thf(2653,plain,
    ! [SV268: $i,SV59: $i,SV411: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV411 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SV411 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2364]) ).

thf(2654,plain,
    ! [SV269: $i,SV60: $i,SV412: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV412 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SV412 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2365]) ).

thf(2655,plain,
    ! [SV270: $i,SV61: $i,SV413: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV413 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SV413 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2366]) ).

thf(2656,plain,
    ! [SV271: $i,SV62: $i,SV414: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV414 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SV414 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2367]) ).

thf(2657,plain,
    ! [SV272: $i,SV63: $i,SV415: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV415 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SV415 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2368]) ).

thf(2658,plain,
    ! [SV273: $i,SV64: $i,SV416: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV416 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SV416 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2369]) ).

thf(2659,plain,
    ! [SV274: $i,SV65: $i,SV417: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV417 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SV417 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2370]) ).

thf(2660,plain,
    ! [SV275: $i,SV66: $i,SV418: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV418 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SV418 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2371]) ).

thf(2661,plain,
    ! [SV276: $i,SV67: $i,SV419: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV419 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SV419 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2372]) ).

thf(2662,plain,
    ! [SV277: $i,SV68: $i,SV420: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV420 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SV420 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2373]) ).

thf(2663,plain,
    ! [SV278: $i,SV69: $i,SV421: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV421 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SV421 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2374]) ).

thf(2664,plain,
    ! [SV279: $i,SV70: $i,SV422: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV422 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SV422 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2375]) ).

thf(2665,plain,
    ! [SV280: $i,SV71: $i,SV423: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV423 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SV423 ) ) )
          | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2376]) ).

thf(2666,plain,
    ! [SV281: $i,SV72: $i,SV424: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV424 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SV424 ) ) )
          | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2377]) ).

thf(2667,plain,
    ! [SV282: $i,SV73: $i,SV425: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV425 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SV425 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2378]) ).

thf(2668,plain,
    ! [SV283: $i,SV74: $i,SV426: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV426 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SV426 ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2379]) ).

thf(2669,plain,
    ! [SV284: $i,SV75: $i,SV427: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV427 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SV427 ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2380]) ).

thf(2670,plain,
    ! [SV285: $i,SV76: $i] :
      ( ( ( SV76 = bot_bo620288102e_bool )
        = $true )
      | ( ( SV76
          = ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV76 ) @ ( insert1415133716_state @ SV285 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2381]) ).

thf(2671,plain,
    ! [SV482: $i,SV77: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) ) )
        = $true )
      | ( ( ( SV77 = bot_bo1649642514l_bool )
          | ( SV77
            = ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV77 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2382]) ).

thf(2672,plain,
    ! [SV286: $i,SV78: $i] :
      ( ( ( SV78 = bot_bo535777328l_bool )
        = $true )
      | ( ( SV78
          = ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV78 ) @ ( insert1556680138e_bool @ SV286 @ bot_bo535777328l_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2383]) ).

thf(2673,plain,
    ! [SV483: $i,SV79: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) ) )
        = $true )
      | ( ( ( SV79 = bot_bo844097828e_bool )
          | ( SV79
            = ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV79 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2384]) ).

thf(2674,plain,
    ! [SV616: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ SV616 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV616 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2385]) ).

thf(2675,plain,
    ! [SV428: $i,SV287: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SV287 @ SV428 ) ) )
        = $false )
      | ( ( ( SV84 = SV287 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SV428 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2386]) ).

thf(2676,plain,
    ! [SV288: $i,SV85: $i] :
      ( ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV288 ) )
        = $true )
      | ( ( ! [SY3011: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SY3011 ) ) )
              | ( SV85 = SV288 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY3011 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2387]) ).

thf(2677,plain,
    ! [SV429: $i,SV289: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SV289 @ SV429 ) ) )
        = $false )
      | ( ( ( SV86 = SV289 )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SV429 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2388]) ).

thf(2678,plain,
    ! [SV290: $i,SV87: $i] :
      ( ( ( is_pname @ SV87 )
        = $false )
      | ( ( ~ ( is_pname @ SV290 ) )
        = $true )
      | ( ( ! [SY3013: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SY3013 ) ) )
              | ( SV87 = SV290 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY3013 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2389]) ).

thf(2679,plain,
    ! [SV88: $i,SV291: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV291 ) @ SV88 ) ) )
        = $true )
      | ( ( SV88 = SV291 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SV291 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2390]) ).

thf(2680,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( ~ ( is_fun1661590463l_bool @ SV292 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2391]) ).

thf(2681,plain,
    ! [SV90: $i,SV293: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV293 ) @ SV90 ) ) )
        = $true )
      | ( ( SV90 = SV293 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SV293 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2392]) ).

thf(2682,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV294 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2393]) ).

thf(2683,plain,
    ! [SV92: $i,SV430: $i,SV295: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SV430 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV430 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2394]) ).

thf(2684,plain,
    ! [SV93: $i,SV431: $i,SV296: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SV431 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV431 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2395]) ).

thf(2685,plain,
    ! [SV94: $i,SV432: $i,SV297: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SV432 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV432 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2396]) ).

thf(2686,plain,
    ! [SV95: $i,SV433: $i,SV298: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SV433 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV433 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2397]) ).

thf(2687,plain,
    ! [SV96: $i,SV484: $i,SV434: $i,SV299: $i] :
      ( ( ( ( SV299
           != ( hAPP_H356885323e_bool @ SV434 @ SV484 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV484 ) @ SV96 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2398]) ).

thf(2688,plain,
    ! [SV97: $i,SV485: $i,SV435: $i,SV300: $i] :
      ( ( ( ( SV300
           != ( hAPP_H1049623551e_bool @ SV435 @ SV485 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV485 ) @ SV97 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2399]) ).

thf(2689,plain,
    ! [SV98: $i,SV486: $i,SV436: $i,SV301: $i] :
      ( ( ( ( SV301
           != ( hAPP_p61793385e_bool @ SV436 @ SV486 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV486 ) @ SV98 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2400]) ).

thf(2690,plain,
    ! [SV99: $i,SV487: $i,SV437: $i,SV302: $i] :
      ( ( ( ( SV302
           != ( hAPP_p442853985e_bool @ SV437 @ SV487 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV487 ) @ SV99 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2401]) ).

thf(2691,plain,
    ! [SV100: $i,SV488: $i,SV438: $i,SV303: $i] :
      ( ( ( ( SV303
           != ( hAPP_f888949707_state @ SV438 @ SV488 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV488 ) @ SV100 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2402]) ).

thf(2692,plain,
    ! [SV101: $i,SV489: $i,SV439: $i,SV304: $i] :
      ( ( ( ( SV304
           != ( hAPP_f1387463497_state @ SV439 @ SV489 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV489 ) @ SV101 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2403]) ).

thf(2693,plain,
    ! [SV102: $i,SV490: $i,SV440: $i,SV305: $i] :
      ( ( ( ( SV305
           != ( hAPP_H1621176307_pname @ SV440 @ SV490 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV490 ) @ SV102 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2404]) ).

thf(2694,plain,
    ! [SV103: $i,SV491: $i,SV441: $i,SV306: $i] :
      ( ( ( ( SV306
           != ( hAPP_pname_pname @ SV441 @ SV491 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV491 ) @ SV103 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2405]) ).

thf(2695,plain,
    ! [SV104: $i,SV492: $i,SV442: $i,SV307: $i] :
      ( ( ( ( SV307
           != ( hAPP_f1297739591_pname @ SV442 @ SV492 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV492 ) @ SV104 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2406]) ).

thf(2696,plain,
    ! [SV105: $i,SV493: $i,SV443: $i,SV308: $i] :
      ( ( ( ( SV308
           != ( hAPP_f560369737_pname @ SV443 @ SV493 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV493 ) @ SV105 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2407]) ).

thf(2697,plain,
    ! [SV106: $i,SV494: $i,SV444: $i,SV309: $i] :
      ( ( ( ( SV309
           != ( hAPP_p1422361149_state @ SV444 @ SV494 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV494 ) @ SV106 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2408]) ).

thf(2698,plain,
    ! [SV310: $i,SV107: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV107 ) @ SV310 ) )
        = $false )
      | ( ( SV310 = bot_bo1649642514l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2409]) ).

thf(2699,plain,
    ! [SV311: $i,SV108: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV108 ) @ SV311 ) )
        = $false )
      | ( ( SV311 = bot_bo535777328l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2700,plain,
    ! [SV312: $i,SV109: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV109 ) @ SV312 ) )
        = $false )
      | ( ( SV312 = bot_bo620288102e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2411]) ).

thf(2701,plain,
    ! [SV313: $i,SV110: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV110 ) @ SV313 ) )
        = $false )
      | ( ( SV313 = bot_bo844097828e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2412]) ).

thf(2702,plain,
    ! [SV314: $i,SV115: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SV314 ) ) )
        = $true )
      | ( ( ( insert_pname @ SV115 @ SV314 )
          = SV314 )
        = $true )
      | ( ( is_fun_pname_bool @ SV314 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2413]) ).

thf(2703,plain,
    ! [SV117: $i,SV445: $i,SV316: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ SV445 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV316 ) @ ( insert_pname @ SV117 @ SV445 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2415]) ).

thf(2704,plain,
    ! [SV118: $i,SV446: $i,SV317: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ SV446 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV317 ) @ ( insert1415133716_state @ SV118 @ SV446 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2416]) ).

thf(2705,plain,
    ! [SV125: $i,SV448: $i,SV324: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV448 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV448 ) @ SV125 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2706,plain,
    ! [SV126: $i,SV449: $i,SV325: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV449 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV449 ) @ SV126 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2418]) ).

thf(2707,plain,
    ! [SV127: $i,SV450: $i,SV326: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SV450 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV450 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2419]) ).

thf(2708,plain,
    ! [SV128: $i,SV451: $i,SV327: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SV451 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV451 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2420]) ).

thf(2709,plain,
    ! [SV129: $i,SV452: $i,SV328: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV452 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV452 ) @ SV129 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2421]) ).

thf(2710,plain,
    ! [SV130: $i,SV453: $i,SV329: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV453 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV453 ) @ SV130 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2422]) ).

thf(2711,plain,
    ! [SV131: $i,SV454: $i,SV330: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SV454 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV454 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2423]) ).

thf(2712,plain,
    ! [SV132: $i,SV455: $i,SV331: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SV455 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV455 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2424]) ).

thf(2713,plain,
    ! [SV336: $i,SV139: $i,SV495: $i,SV456: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SV495 ) ) )
        = $true )
      | ( ( ( SV139
           != ( hAPP_p1422361149_state @ SV336 @ SV456 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SV495 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2429]) ).

thf(2714,plain,
    ! [SV140: $i,SV457: $i,SV337: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV337 ) @ SV457 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( hAPP_p1422361149_state @ SV140 @ SV337 ) ) @ ( image_2003357581_state @ SV140 @ SV457 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2430]) ).

thf(2715,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ( is_pname @ SV143 )
        = $false )
      | ( ( ~ ( is_pname @ SV340 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
          | ( SV143 = SV340 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2432]) ).

thf(2716,plain,
    ! [SV148: $i,SV344: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV344 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SV344 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2434]) ).

thf(2717,plain,
    ! [SV149: $i,SV345: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV345 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SV345 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2435]) ).

thf(2718,plain,
    ! [SV150: $i,SV346: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV346 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SV346 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2436]) ).

thf(2719,plain,
    ! [SV151: $i,SV347: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV347 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SV347 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2437]) ).

thf(2720,plain,
    ! [SV348: $i,SV152: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SV348 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV348 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2438]) ).

thf(2721,plain,
    ! [SV349: $i,SV153: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SV349 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV349 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2439]) ).

thf(2722,plain,
    ! [SV350: $i,SV154: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SV350 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV350 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2440]) ).

thf(2723,plain,
    ! [SV351: $i,SV155: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SV351 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV351 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2441]) ).

thf(2724,plain,
    ! [SV156: $i,SV458: $i,SV352: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV352 ) @ SV458 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV156 @ SV352 ) ) @ ( insert_pname @ SV156 @ SV458 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2442]) ).

thf(2725,plain,
    ! [SV157: $i,SV459: $i,SV353: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV353 ) @ SV459 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV157 @ SV353 ) ) @ ( insert1415133716_state @ SV157 @ SV459 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2443]) ).

thf(2726,plain,
    ! [SV158: $i,SV460: $i,SV354: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ SV460 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV354 ) @ ( insert_pname @ SV158 @ SV460 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2444]) ).

thf(2727,plain,
    ! [SV159: $i,SV461: $i,SV355: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ SV461 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV355 ) @ ( insert1415133716_state @ SV159 @ SV461 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2445]) ).

thf(2728,plain,
    ! [SV162: $i,SV462: $i,SV358: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV358 ) @ SV462 ) )
        = $false )
      | ( ( ( insert1415133716_state @ ( hAPP_p1422361149_state @ SV162 @ SV358 ) @ ( image_2003357581_state @ SV162 @ SV462 ) )
          = ( image_2003357581_state @ SV162 @ SV462 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2446]) ).

thf(2729,plain,
    ! [SV164: $i,SV464: $i,SV360: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV360 ) @ SV464 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( image_2003357581_state @ SV164 @ SV360 ) ) @ ( image_2003357581_state @ SV164 @ SV464 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2447]) ).

thf(2730,plain,
    ! [SV496: $i,SV361: $i,SV165: $i] :
      ( ( ( ( hAPP_p799580910on_com @ SV165 @ SV361 )
          = ( some_com @ SV496 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV361 ) @ ( dom_pname_com @ SV165 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2448]) ).

thf(2731,plain,
    ! [SV497: $i,SV465: $i] :
      ( ( ( ( ( hAPP_p799580910on_com @ body @ SV465 )
           != ( some_com @ SV497 ) ) )
        = $true )
      | ( ( hBOOL @ ( wt @ SV497 ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2449]) ).

thf(2732,plain,
    ! [SV171: $i,SV362: $i] :
      ( ( ( hBOOL @ SV362 )
        = $false )
      | ( ( ~ ( hBOOL @ SV171 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV362 ) @ SV171 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2451]) ).

thf(2733,plain,
    ! [SV366: $i,SV176: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV176 ) @ SV366 ) )
        = $false )
      | ( ( hBOOL @ SV176 )
        = $true )
      | ( ( hBOOL @ SV366 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2456]) ).

thf(2734,plain,
    ! [SV369: $i,SV179: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SV369 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV179 ) )
        = $true )
      | ( ( hBOOL @ SV369 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2458]) ).

thf(2735,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ( is_pname @ SV180 )
        = $false )
      | ( ( ~ ( is_pname @ SV370 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
          | ( SV180 = SV370 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2459]) ).

thf(2736,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ( is_fun_pname_bool @ SV182 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV372 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
          | ( SV182 = SV372 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2461]) ).

thf(2737,plain,
    ! [SV499: $i,SV617: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV617 )
        | ( SV617 != bot_bo1649642514l_bool )
        | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SV617 )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2468]) ).

thf(2738,plain,
    ! [SV500: $i,SV618: $i] :
      ( ( ~ ( is_fun1661590463l_bool @ SV618 )
        | ( SV618 = bot_bo1649642514l_bool )
        | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV500 ) @ SV618 )
          = ( insert1415133716_state @ SV500 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2469]) ).

thf(2739,plain,
    ! [SV619: $i,SV196: $i] :
      ( ( ! [SY3193: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY3193 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SY3193 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SY3193 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2470]) ).

thf(2740,plain,
    ! [SV196: $i] :
      ( ( ~ ! [SY2868: $i,SY2869: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) )
        | ~ ! [SY2870: $i,SY2871: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2471]) ).

thf(2741,plain,
    ! [SV501: $i] :
      ( ( ( ( SV501 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV501 ) @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2472]) ).

thf(2742,plain,
    ! [SV502: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV502 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( SV502 = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2473]) ).

thf(2743,plain,
    ! [SV503: $i,SV620: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV620 ) ) )
        | ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SV620 ) @ SV503 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2474]) ).

thf(2744,plain,
    ! [SV504: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV504 ) ) ) )
        = $true )
      | ( ( ! [SY3104: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SY3104 ) @ SV504 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2475]) ).

thf(2745,plain,
    ! [SV621: $i,SV505: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV505 @ SV621 ) )
        | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV621 ) ) @ SV505 ) )
          = ( insert1325755072e_bool @ SV621 @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2476]) ).

thf(2746,plain,
    ! [SV622: $i,SV506: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV506 @ SV622 ) )
        | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV622 ) ) @ SV506 ) )
          = bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2747,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false )
      | ( ( ~ ( ~ ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) )
              | ~ ~ ( ( SV197
                     != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2478]) ).

thf(2748,plain,
    ! [SV507: $i,SV623: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV623 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SV623 ) @ SV507 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2479]) ).

thf(2749,plain,
    ! [SV508: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV508 ) ) ) )
        = $true )
      | ( ( ! [SY3108: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SY3108 ) @ SV508 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2480]) ).

thf(2750,plain,
    ! [SV624: $i,SV509: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV509 ) @ SV624 ) )
        | ( hBOOL @ ( hAPP_pname_bool @ SV624 @ SV509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2481]) ).

thf(2751,plain,
    ! [SV510: $i,SV625: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV625 @ SV510 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV510 ) @ SV625 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2482]) ).

thf(2752,plain,
    ! [SV626: $i,SV198: $i] :
      ( ( ~ ( is_pname @ SV198 )
        | ~ ( is_pname @ SV626 )
        | ! [SY3194: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SY3194 ) ) )
            | ( SV198 = SV626 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2483]) ).

thf(2753,plain,
    ! [SV198: $i] :
      ( ( ~ ! [SY2876: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2876 )
              | ( SV198 != SY2876 )
              | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) )
        | ~ ! [SY2878: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2878 )
              | ! [SY2879: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2484]) ).

thf(2754,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( is_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2485]) ).

thf(2755,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2485]) ).

thf(2756,plain,
    ! [SV511: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK31_X_1 @ SV511 ) )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV511 @ ( sK31_X_1 @ SV511 ) ) ) ) )
        = $true )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2486]) ).

thf(2757,plain,
    ! [SV512: $i] :
      ( ( ( ( ( collect_pname @ SV512 )
           != bot_bo844097828e_bool ) )
        = $true )
      | ( ( ! [SY3111: $i] :
              ( ~ ( is_pname @ SY3111 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SY3111 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2487]) ).

thf(2758,plain,
    ! [SV513: $i,SV627: $i] :
      ( ( ( SV627 != bot_bo620288102e_bool )
        | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV513 ) @ SV627 )
          = bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2488]) ).

thf(2759,plain,
    ! [SV514: $i,SV628: $i] :
      ( ( ( SV628 = bot_bo620288102e_bool )
        | ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV514 ) @ SV628 )
          = ( insert1325755072e_bool @ SV514 @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2489]) ).

thf(2760,plain,
    ! [SV515: $i] :
      ( ( ( SV515 = bot_bo535777328l_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK23_X_1 @ SV515 ) ) @ SV515 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2490]) ).

thf(2761,plain,
    ! [SV516: $i] :
      ( ( ( ! [SY3114: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3114 ) @ SV516 ) ) )
        = $true )
      | ( ( ( SV516 != bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2491]) ).

thf(2762,plain,
    ! [SV517: $i,SV629: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV629 )
        | ( ( image_2003357581_state @ SV517 @ SV629 )
         != bot_bo620288102e_bool )
        | ( SV629 = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2492]) ).

thf(2763,plain,
    ! [SV518: $i,SV630: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV630 )
        | ( SV630 != bot_bo844097828e_bool )
        | ( ( image_2003357581_state @ SV518 @ SV630 )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2493]) ).

thf(2764,plain,
    ! [SV519: $i,SV631: $i] :
      ( ( ( SV631 != bot_bo620288102e_bool )
        | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV519 ) @ SV631 )
          = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2494]) ).

thf(2765,plain,
    ! [SV520: $i,SV632: $i] :
      ( ( ( SV632 = bot_bo620288102e_bool )
        | ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV520 ) @ SV632 )
          = ( insert_pname @ SV520 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2495]) ).

thf(2766,plain,
    ! [SV521: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK25_X_1 @ SV521 ) )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV521 @ ( sK25_X_1 @ SV521 ) ) ) ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2496]) ).

thf(2767,plain,
    ! [SV522: $i] :
      ( ( ( ( bot_bo844097828e_bool
           != ( collect_pname @ SV522 ) ) )
        = $true )
      | ( ( ! [SY3119: $i] :
              ( ~ ( is_pname @ SY3119 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SY3119 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2497]) ).

thf(2768,plain,
    ! [SV523: $i,SV633: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV633 )
        | ( bot_bo620288102e_bool
         != ( image_2003357581_state @ SV523 @ SV633 ) )
        | ( SV633 = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2498]) ).

thf(2769,plain,
    ! [SV524: $i,SV634: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV634 )
        | ( SV634 != bot_bo844097828e_bool )
        | ( bot_bo620288102e_bool
          = ( image_2003357581_state @ SV524 @ SV634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2499]) ).

thf(2770,plain,
    ! [SV525: $i] :
      ( ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SV525 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV525 @ ( sK27_X_1 @ SV525 ) ) ) ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2500]) ).

thf(2771,plain,
    ! [SV526: $i] :
      ( ( ( ( bot_bo1649642514l_bool
           != ( collec1974731493e_bool @ SV526 ) ) )
        = $true )
      | ( ( ! [SY3122: $i] :
              ( ~ ( is_fun_pname_bool @ SY3122 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SY3122 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2501]) ).

thf(2772,plain,
    ! [SV527: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK19_X_1 @ SV527 ) ) @ SV527 ) )
        = $true )
      | ( ( SV527 = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2502]) ).

thf(2773,plain,
    ! [SV528: $i] :
      ( ( ( ( SV528 != bot_bo535777328l_bool ) )
        = $true )
      | ( ( ! [SY3123: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3123 ) @ SV528 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2503]) ).

thf(2774,plain,
    ! [SV635: $i,SV529: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV529 @ SV635 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV635 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2504]) ).

thf(2775,plain,
    ! [SV530: $i,SV636: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV636 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV530 @ SV636 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2505]) ).

thf(2776,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2506]) ).

thf(2777,plain,
    ! [SV532: $i,SV637: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV637 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SV637 ) @ SV532 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2507]) ).

thf(2778,plain,
    ! [SV533: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV533 ) ) ) )
        = $true )
      | ( ( ! [SY3127: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SY3127 ) @ SV533 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2508]) ).

thf(2779,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                        ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                         != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                        | ( SV200 = SY3070 )
                        | ( SV200 = SY3071 ) )
                  | ~ ! [SY3072: $i] :
                        ( ! [SY3073: $i] :
                            ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                           != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                        | ( SV200 = SY3072 )
                        | ( SV387 = SY3072 ) ) )
            | ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                        ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                         != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                        | ( SV387 = SY3075 )
                        | ( SV200 = SY3075 ) )
                  | ~ ! [SY3076: $i,SY3077: $i] :
                        ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                         != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                        | ( SV387 = SY3077 )
                        | ( SV387 = SY3076 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2509]) ).

thf(2780,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ( ~ ! [SY3078: $i,SY3079: $i] :
                  ( ( SV200 != SY3078 )
                  | ( SV387 != SY3079 )
                  | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                    = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) )
            | ~ ! [SY3080: $i,SY3081: $i] :
                  ( ( SV200 != SY3081 )
                  | ( SV387 != SY3080 )
                  | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                    = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2510]) ).

thf(2781,plain,
    ! [SV534: $i] :
      ( ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SV534 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV534 @ ( sK33_X_1 @ SV534 ) ) ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2511]) ).

thf(2782,plain,
    ! [SV535: $i] :
      ( ( ( ( ( collec1974731493e_bool @ SV535 )
           != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( ! [SY3128: $i] :
              ( ~ ( is_fun_pname_bool @ SY3128 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SY3128 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2512]) ).

thf(2783,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2513]) ).

thf(2784,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2514]) ).

thf(2785,plain,
    ! [SV536: $i,SV638: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV638 ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SV638 ) @ SV536 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2515]) ).

thf(2786,plain,
    ! [SV537: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV537 ) ) ) )
        = $true )
      | ( ( ! [SY3130: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SY3130 ) @ SV537 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2516]) ).

thf(2787,plain,
    ! [SV538: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV538 @ ( sK28_X_1 @ SV538 ) ) )
        = $true )
      | ( ( bot_bo535777328l_bool
          = ( collec1823980261e_bool @ SV538 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2517]) ).

thf(2788,plain,
    ! [SV539: $i] :
      ( ( ( ( bot_bo535777328l_bool
           != ( collec1823980261e_bool @ SV539 ) ) )
        = $true )
      | ( ( ! [SY3131: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV539 @ SY3131 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2518]) ).

thf(2789,plain,
    ! [SV540: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV540 ) )
        = $true )
      | ( ( ( SV540 != bot_bo844097828e_bool )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV540 ) @ bot_bo844097828e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2519]) ).

thf(2790,plain,
    ! [SV541: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV541 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV541 ) @ bot_bo844097828e_bool ) )
          | ( SV541 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2520]) ).

thf(2791,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ~ ( is_pname @ SV542 )
        | ~ ( is_pname @ SV639 )
        | ( SV542 != SV639 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2521]) ).

thf(2792,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ~ ( is_pname @ SV543 )
        | ~ ( is_pname @ SV640 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
        | ( SV543 = SV640 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2522]) ).

thf(2793,plain,
    ! [SV641: $i,SV544: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) )
        | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV641 ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SV641 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2523]) ).

thf(2794,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2524]) ).

thf(2795,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2524]) ).

thf(2796,plain,
    ! [SV545: $i] :
      ( ( ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SV545 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV545 @ ( sK30_X_1 @ SV545 ) ) ) ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2525]) ).

thf(2797,plain,
    ! [SV546: $i] :
      ( ( ( ( bot_bo1537088220l_bool
           != ( collec1613912337l_bool @ SV546 ) ) )
        = $true )
      | ( ( ! [SY3135: $i] :
              ( ~ ( is_fun1661590463l_bool @ SY3135 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SY3135 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2798,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                          | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
              | ( SV478
               != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2527]) ).

thf(2799,plain,
    ! [SV642: $i,SV547: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV547 @ SV642 ) )
        | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SV642 ) ) @ SV547 ) )
          = ( insert1325755072e_bool @ SV642 @ bot_bo1649642514l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2528]) ).

thf(2800,plain,
    ! [SV643: $i,SV548: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV548 @ SV643 ) )
        | ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SV643 ) ) @ SV548 ) )
          = bot_bo1649642514l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2529]) ).

thf(2801,plain,
    ! [SV644: $i,SV549: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV549 @ SV644 ) )
        | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV644 ) ) @ SV549 ) )
          = ( insert1556680138e_bool @ SV644 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2530]) ).

thf(2802,plain,
    ! [SV645: $i,SV550: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV550 @ SV645 ) )
        | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV645 ) ) @ SV550 ) )
          = bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2531]) ).

thf(2803,plain,
    ! [SV204: $i,SV646: $i] :
      ( ( ! [SY3195: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ SY3195 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ ( insert1415133716_state @ SV204 @ SY3195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2532]) ).

thf(2804,plain,
    ! [SV204: $i,SV647: $i] :
      ( ( ( SV647 != SV204 )
        | ! [SY3196: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV647 ) @ ( insert1415133716_state @ SV204 @ SY3196 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2533]) ).

thf(2805,plain,
    ! [SV205: $i,SV648: $i] :
      ( ( ! [SY3197: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ SY3197 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ ( insert_pname @ SV205 @ SY3197 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2534]) ).

thf(2806,plain,
    ! [SV205: $i,SV649: $i] :
      ( ( ( SV649 != SV205 )
        | ! [SY3198: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV649 ) @ ( insert_pname @ SV205 @ SY3198 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2535]) ).

thf(2807,plain,
    ! [SV650: $i,SV206: $i] :
      ( ( ! [SY3199: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ SY3199 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2536]) ).

thf(2808,plain,
    ! [SV651: $i,SV206: $i] :
      ( ( ! [SY3200: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV651 @ SY3200 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SY3200 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2537]) ).

thf(2809,plain,
    ! [SV652: $i,SV551: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV551 @ SV652 ) )
        | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV652 ) ) @ SV551 ) )
          = ( insert1415133716_state @ SV652 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2538]) ).

thf(2810,plain,
    ! [SV653: $i,SV552: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV552 @ SV653 ) )
        | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV653 ) ) @ SV552 ) )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2539]) ).

thf(2811,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2540]) ).

thf(2812,plain,
    ! [SV654: $i,SV553: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV553 @ SV654 ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV654 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2541]) ).

thf(2813,plain,
    ! [SV554: $i,SV655: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV655 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV554 @ SV655 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2542]) ).

thf(2814,plain,
    ! [SV555: $i] :
      ( ( ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SV555 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV555 @ ( sK36_X_1 @ SV555 ) ) ) ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2543]) ).

thf(2815,plain,
    ! [SV556: $i] :
      ( ( ( ( ( collec1613912337l_bool @ SV556 )
           != bot_bo1537088220l_bool ) )
        = $true )
      | ( ( ! [SY3144: $i] :
              ( ~ ( is_fun1661590463l_bool @ SY3144 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SY3144 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2544]) ).

thf(2816,plain,
    ! [SV208: $i,SV656: $i] :
      ( ( ! [SY3201: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ SY3201 ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ ( insert1325755072e_bool @ SV208 @ SY3201 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2545]) ).

thf(2817,plain,
    ! [SV208: $i,SV657: $i] :
      ( ( ( SV657 != SV208 )
        | ! [SY3202: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV657 ) @ ( insert1325755072e_bool @ SV208 @ SY3202 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2546]) ).

thf(2818,plain,
    ! [SV557: $i,SV658: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV658 )
        | ( SV658 != bot_bo844097828e_bool )
        | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SV658 )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2547]) ).

thf(2819,plain,
    ! [SV558: $i,SV659: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV659 )
        | ( SV659 = bot_bo844097828e_bool )
        | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV558 ) @ SV659 )
          = ( insert1415133716_state @ SV558 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2548]) ).

thf(2820,plain,
    ! [SV660: $i,SV559: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV660 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SV660 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2549]) ).

thf(2821,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2550]) ).

thf(2822,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2550]) ).

thf(2823,plain,
    ! [SV661: $i,SV209: $i] :
      ( ( ! [SY3203: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV661 @ SY3203 ) ) )
            | ( SV209 = SV661 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY3203 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2551]) ).

thf(2824,plain,
    ! [SV209: $i] :
      ( ( ~ ! [SY2920: $i] :
              ( ( SV209 != SY2920 )
              | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) )
        | ~ ! [SY2922: $i,SY2923: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2552]) ).

thf(2825,plain,
    ! [SV662: $i,SV560: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV560 @ SV662 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV662 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2553]) ).

thf(2826,plain,
    ! [SV561: $i,SV663: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV663 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV561 @ SV663 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2554]) ).

thf(2827,plain,
    ! [SV664: $i,SV210: $i] :
      ( ( ! [SY3204: $i] :
            ( ! [SY3205: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3205 ) @ SY3204 ) )
                | ~ ( is_fun_pname_bool @ SY3205 )
                | ( SV210
                 != ( image_2003357581_state @ SV664 @ SY3205 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SY3204 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2555]) ).

thf(2828,plain,
    ! [SV665: $i,SV210: $i] :
      ( ( ! [SY3206: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SY3206 ) ) )
            | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SY3206 @ SV665 @ SV210 ) ) @ SY3206 ) )
                      | ~ ( is_fun_pname_bool @ ( sK15_AA @ SY3206 @ SV665 @ SV210 ) ) )
                | ( SV210
                 != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SY3206 @ SV665 @ SV210 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2556]) ).

thf(2829,plain,
    ! [SV211: $i,SV666: $i] :
      ( ( ! [SY3207: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV666 ) @ SY3207 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3207 ) @ ( insert1415133716_state @ SV666 @ SV211 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3207 ) @ SV211 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2557]) ).

thf(2830,plain,
    ! [SV211: $i,SV667: $i] :
      ( ( ! [SY3208: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV667 ) @ SY3208 ) )
            | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3208 ) @ SV211 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3208 ) @ ( insert1415133716_state @ SV667 @ SV211 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2558]) ).

thf(2831,plain,
    ! [SV668: $i,SV562: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV562 @ SV668 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2559]) ).

thf(2832,plain,
    ! [SV563: $i,SV669: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV669 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV563 @ SV669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2560]) ).

thf(2833,plain,
    ! [SV564: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV564 ) )
        = $true )
      | ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) )
          | ( SV564 = bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2561]) ).

thf(2834,plain,
    ! [SV565: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV565 ) )
        = $true )
      | ( ( ( SV565 != bot_bo1649642514l_bool )
          | ! [SY3152: $i] :
              ( ~ ( is_fun_pname_bool @ SY3152 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3152 ) @ SV565 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2562]) ).

thf(2835,plain,
    ! [SV566: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV566 ) )
        = $true )
      | ( ( ( SV566 = bot_bo1649642514l_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
              | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2563]) ).

thf(2836,plain,
    ! [SV567: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV567 ) )
        = $true )
      | ( ( ! [SY3153: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3153 ) @ SV567 ) )
              | ~ ( is_fun_pname_bool @ SY3153 ) )
          | ( SV567 != bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2564]) ).

thf(2837,plain,
    ! [SV212: $i,SV670: $i] :
      ( ( ! [SY3209: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ SY3209 ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ ( insert1556680138e_bool @ SV212 @ SY3209 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2565]) ).

thf(2838,plain,
    ! [SV212: $i,SV671: $i] :
      ( ( ( SV671 != SV212 )
        | ! [SY3210: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV671 ) @ ( insert1556680138e_bool @ SV212 @ SY3210 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2566]) ).

thf(2839,plain,
    ! [SV568: $i,SV672: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV672 ) ) )
        | ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SV672 ) @ SV568 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2567]) ).

thf(2840,plain,
    ! [SV569: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV569 ) ) ) )
        = $true )
      | ( ( ! [SY3155: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SY3155 ) @ SV569 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2568]) ).

thf(2841,plain,
    ! [SV673: $i,SV570: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV570 ) @ SV673 ) )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ SV673 @ SV570 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2569]) ).

thf(2842,plain,
    ! [SV571: $i,SV674: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV674 @ SV571 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV571 ) @ SV674 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2570]) ).

thf(2843,plain,
    ! [SV675: $i,SV572: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SV675 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV675 ) @ SV572 ) )
        | ( SV572 = SV675 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2571]) ).

thf(2844,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2572]) ).

thf(2845,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2572]) ).

thf(2846,plain,
    ! [SV676: $i,SV213: $i] :
      ( ( ! [SY3211: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV676 ) @ SY3211 ) )
            | ( SV213 = SY3211 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ SV676 @ SY3211 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2573]) ).

thf(2847,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY2939: $i,SY2940: $i] :
              ( ( SV213 != SY2940 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) )
        | ~ ! [SY2941: $i,SY2942: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2574]) ).

thf(2848,plain,
    ! [SV677: $i,SV573: $i] :
      ( ( ( SV573 != SV677 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV573 ) @ SV677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2575]) ).

thf(2849,plain,
    ! [SV678: $i,SV574: $i] :
      ( ( ( SV574 != SV678 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV678 ) @ SV574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2576]) ).

thf(2850,plain,
    ! [SV575: $i,SV679: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV679 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SV679 ) @ SV575 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2577]) ).

thf(2851,plain,
    ! [SV576: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV576 ) ) ) )
        = $true )
      | ( ( ! [SY3162: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SY3162 ) @ SV576 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2578]) ).

thf(2852,plain,
    ! [SV680: $i,SV577: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) )
        | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV680 ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SV680 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2579]) ).

thf(2853,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2580]) ).

thf(2854,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2580]) ).

thf(2855,plain,
    ! [SV681: $i,SV214: $i] :
      ( ( ! [SY3212: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY3212 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SY3212 ) )
            | ( SV214 = SY3212 )
            | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SY3212 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2581]) ).

thf(2856,plain,
    ! [SV214: $i] :
      ( ( ~ ! [SY2945: $i,SY2946: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2946 )
              | ( SV214 != SY2946 )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) )
        | ~ ! [SY2947: $i,SY2948: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2948 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2582]) ).

thf(2857,plain,
    ! [SV578: $i,SV682: $i] :
      ( ( ( SV682 != bot_bo535777328l_bool )
        | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV578 ) @ SV682 )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2583]) ).

thf(2858,plain,
    ! [SV579: $i,SV683: $i] :
      ( ( ( SV683 = bot_bo535777328l_bool )
        | ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV579 ) @ SV683 )
          = ( insert1415133716_state @ SV579 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2584]) ).

thf(2859,plain,
    ! [SV580: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV580 @ ( sK35_X_1 @ SV580 ) ) )
        = $true )
      | ( ( ( collec488126193l_bool @ SV580 )
          = bot_bo1761158942l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2585]) ).

thf(2860,plain,
    ! [SV581: $i] :
      ( ( ( ( ( collec488126193l_bool @ SV581 )
           != bot_bo1761158942l_bool ) )
        = $true )
      | ( ( ! [SY3166: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV581 @ SY3166 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2586]) ).

thf(2861,plain,
    ! [SV684: $i,SV582: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV582 @ SV684 ) )
        | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV684 ) ) @ SV582 ) )
          = ( insert1415133716_state @ SV684 @ bot_bo620288102e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2587]) ).

thf(2862,plain,
    ! [SV685: $i,SV583: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV583 @ SV685 ) )
        | ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV685 ) ) @ SV583 ) )
          = bot_bo620288102e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2588]) ).

thf(2863,plain,
    ! [SV686: $i,SV215: $i] :
      ( ( ! [SY3213: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY3213 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SY3213 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SY3213 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2589]) ).

thf(2864,plain,
    ! [SV215: $i] :
      ( ( ~ ! [SY2951: $i,SY2952: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) )
        | ~ ! [SY2953: $i,SY2954: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2590]) ).

thf(2865,plain,
    ! [SV584: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV584 @ ( sK32_X_1 @ SV584 ) ) )
        = $true )
      | ( ( ( collec307967673_state @ SV584 )
          = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2591]) ).

thf(2866,plain,
    ! [SV585: $i] :
      ( ( ( ( ( collec307967673_state @ SV585 )
           != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ! [SY3169: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV585 @ SY3169 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2592]) ).

thf(2867,plain,
    ! [SV586: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV586 @ ( sK29_X_1 @ SV586 ) ) )
        = $true )
      | ( ( bot_bo1761158942l_bool
          = ( collec488126193l_bool @ SV586 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2593]) ).

thf(2868,plain,
    ! [SV587: $i] :
      ( ( ( ( bot_bo1761158942l_bool
           != ( collec488126193l_bool @ SV587 ) ) )
        = $true )
      | ( ( ! [SY3170: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV587 @ SY3170 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2594]) ).

thf(2869,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV588 )
        | ~ ( is_fun_pname_bool @ SV687 )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
        | ( SV588 = SV687 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2595]) ).

thf(2870,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2596]) ).

thf(2871,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_fun_pname_bool @ SX0 )
            | ~ ( is_fun_pname_bool @ SX1 )
            | ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2596]) ).

thf(2872,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2873,plain,
    ! [SV688: $i,SV589: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV589 @ SV688 ) )
        | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SV688 ) ) @ SV589 ) )
          = ( insert_pname @ SV688 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2598]) ).

thf(2874,plain,
    ! [SV689: $i,SV590: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV590 @ SV689 ) )
        | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SV689 ) ) @ SV590 ) )
          = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2599]) ).

thf(2875,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ~ ( is_pname @ SV591 )
        | ~ ( is_pname @ SV690 )
        | ( ( hAPP_pname_com @ body_1 @ SV591 )
         != ( hAPP_pname_com @ body_1 @ SV690 ) )
        | ( SV591 = SV690 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2600]) ).

thf(2876,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ~ ( is_pname @ SV592 )
        | ~ ( is_pname @ SV691 )
        | ( SV592 != SV691 )
        | ( ( hAPP_pname_com @ body_1 @ SV592 )
          = ( hAPP_pname_com @ body_1 @ SV691 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2601]) ).

thf(2877,plain,
    ! [SV593: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK18_X_1 @ SV593 ) ) @ SV593 ) )
        = $true )
      | ( ( SV593 = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2602]) ).

thf(2878,plain,
    ! [SV594: $i] :
      ( ( ( ( SV594 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ! [SY3176: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3176 ) @ SV594 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2603]) ).

thf(2879,plain,
    ! [SV692: $i,SV595: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV595 @ SV692 ) )
        | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SV692 ) ) @ SV595 ) )
          = ( insert1556680138e_bool @ SV692 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2604]) ).

thf(2880,plain,
    ! [SV693: $i,SV596: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV596 @ SV693 ) )
        | ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SV693 ) ) @ SV596 ) )
          = bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2605]) ).

thf(2881,plain,
    ! [SV597: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV597 ) )
        = $true )
      | ( ( ~ ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) )
          | ( SV597 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2606]) ).

thf(2882,plain,
    ! [SV598: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV598 ) )
        = $true )
      | ( ( ( SV598 != bot_bo844097828e_bool )
          | ! [SY3179: $i] :
              ( ~ ( is_pname @ SY3179 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3179 ) @ SV598 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2607]) ).

thf(2883,plain,
    ! [SV599: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV599 @ ( sK34_X_1 @ SV599 ) ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ SV599 )
          = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2608]) ).

thf(2884,plain,
    ! [SV600: $i] :
      ( ( ( ( ( collec1823980261e_bool @ SV600 )
           != bot_bo535777328l_bool ) )
        = $true )
      | ( ( ! [SY3180: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV600 @ SY3180 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2609]) ).

thf(2885,plain,
    ! [SV694: $i,SV601: $i] :
      ( ( ( SV601 != SV694 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV601 ) @ ( insert1415133716_state @ SV694 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2610]) ).

thf(2886,plain,
    ! [SV695: $i,SV602: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV602 ) @ ( insert1415133716_state @ SV695 @ bot_bo620288102e_bool ) ) )
        | ( SV602 = SV695 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2611]) ).

thf(2887,plain,
    ! [SV217: $i,SV696: $i] :
      ( ( ! [SY3214: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SY3214 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
            | ( ( insert1415133716_state @ SV696 @ SY3214 )
             != ( insert1415133716_state @ SV696 @ SV217 ) )
            | ( SY3214 = SV217 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2612]) ).

thf(2888,plain,
    ! [SV217: $i,SV697: $i] :
      ( ( ! [SY3215: $i] :
            ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SY3215 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
            | ( SY3215 != SV217 )
            | ( ( insert1415133716_state @ SV697 @ SY3215 )
              = ( insert1415133716_state @ SV697 @ SV217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2613]) ).

thf(2889,plain,
    ! [SV698: $i,SV603: $i] :
      ( ( ( SV603 != SV698 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV603 ) @ SV698 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2614]) ).

thf(2890,plain,
    ! [SV699: $i,SV604: $i] :
      ( ( ( SV604 != SV699 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV699 ) @ SV604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2615]) ).

thf(2891,plain,
    ! [SV605: $i] :
      ( ( ( SV605 = bot_bo620288102e_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK22_X_1 @ SV605 ) ) @ SV605 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2616]) ).

thf(2892,plain,
    ! [SV606: $i] :
      ( ( ( ! [SY3185: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3185 ) @ SV606 ) ) )
        = $true )
      | ( ( ( SV606 != bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2617]) ).

thf(2893,plain,
    ! [SV607: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV607 @ ( sK26_X_1 @ SV607 ) ) )
        = $true )
      | ( ( bot_bo620288102e_bool
          = ( collec307967673_state @ SV607 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2618]) ).

thf(2894,plain,
    ! [SV608: $i] :
      ( ( ( ( bot_bo620288102e_bool
           != ( collec307967673_state @ SV608 ) ) )
        = $true )
      | ( ( ! [SY3186: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV608 @ SY3186 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2619]) ).

thf(2895,plain,
    ! [SV218: $i,SV700: $i] :
      ( ( ! [SY3216: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV700 ) @ SY3216 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3216 ) @ ( insert_pname @ SV700 @ SV218 ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3216 ) @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2620]) ).

thf(2896,plain,
    ! [SV218: $i,SV701: $i] :
      ( ( ! [SY3217: $i] :
            ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV701 ) @ SY3217 ) )
            | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3217 ) @ SV218 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3217 ) @ ( insert_pname @ SV701 @ SV218 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2621]) ).

thf(2897,plain,
    ! [SV702: $i,SV219: $i] :
      ( ( ! [SY3218: $i] :
            ( ~ ( is_fun_pname_bool @ SV219 )
            | ~ ( is_fun_pname_bool @ SY3218 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SY3218 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
            | ( ( insert_pname @ SV702 @ SY3218 )
             != ( insert_pname @ SV702 @ SV219 ) )
            | ( SY3218 = SV219 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2622]) ).

thf(2898,plain,
    ! [SV703: $i,SV219: $i] :
      ( ( ! [SY3219: $i] :
            ( ~ ( is_fun_pname_bool @ SV219 )
            | ~ ( is_fun_pname_bool @ SY3219 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SY3219 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
            | ( SY3219 != SV219 )
            | ( ( insert_pname @ SV703 @ SY3219 )
              = ( insert_pname @ SV703 @ SV219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2623]) ).

thf(2899,plain,
    ! [SV704: $i,SV220: $i] :
      ( ( ! [SY3220: $i] :
            ( ! [SY3221: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3221 ) @ SY3220 ) )
                | ~ ( is_pname @ SY3221 )
                | ( SV220
                 != ( hAPP_p1422361149_state @ SV704 @ SY3221 ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SY3220 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2624]) ).

thf(2900,plain,
    ! [SV705: $i,SV220: $i] :
      ( ( ! [SY3222: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SY3222 ) ) )
            | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SY3222 @ SV705 @ SV220 ) ) @ SY3222 ) )
                      | ~ ( is_pname @ ( sK16_X_1 @ SY3222 @ SV705 @ SV220 ) ) )
                | ( SV220
                 != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SY3222 @ SV705 @ SV220 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2625]) ).

thf(2901,plain,
    ! [SV609: $i,SV706: $i] :
      ( ( ( SV706 != bot_bo620288102e_bool )
        | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV609 ) @ SV706 )
          = bot_bo535777328l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2626]) ).

thf(2902,plain,
    ! [SV610: $i,SV707: $i] :
      ( ( ( SV707 = bot_bo620288102e_bool )
        | ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV610 ) @ SV707 )
          = ( insert1556680138e_bool @ SV610 @ bot_bo535777328l_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2627]) ).

thf(2903,plain,
    ! [SV708: $i,SV611: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV611 @ SV708 ) )
        | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SV708 ) ) @ SV611 ) )
          = ( insert_pname @ SV708 @ bot_bo844097828e_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2628]) ).

thf(2904,plain,
    ! [SV709: $i,SV612: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV612 @ SV709 ) )
        | ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SV709 ) ) @ SV612 ) )
          = bot_bo844097828e_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2629]) ).

thf(2905,plain,
    ! [SV613: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV613 ) )
        = $true )
      | ( ( ( SV613 = bot_bo844097828e_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
              | ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2630]) ).

thf(2906,plain,
    ! [SV614: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV614 ) )
        = $true )
      | ( ( ! [SY3191: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3191 ) @ SV614 ) )
              | ~ ( is_pname @ SY3191 ) )
          | ( SV614 != bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2631]) ).

thf(2907,plain,
    ! [SV710: $i,SV615: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV710 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SV710 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2632]) ).

thf(2908,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2633]) ).

thf(2909,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2633]) ).

thf(2910,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV393 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2634]) ).

thf(2911,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2634]) ).

thf(2912,plain,
    ! [SV224: $i,SV394: $i,SV5: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SV394 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV394 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2635]) ).

thf(2913,plain,
    ! [SV395: $i,SV6: $i,SV225: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SV395 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SV395 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2636]) ).

thf(2914,plain,
    ! [SV396: $i,SV226: $i,SV7: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV396 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SV396 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2637]) ).

thf(2915,plain,
    ! [SV397: $i,SV8: $i,SV227: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ SV8 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2638]) ).

thf(2916,plain,
    ! [SV409: $i,SV266: $i,SV57: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SV409 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV409 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2651]) ).

thf(2917,plain,
    ! [SV410: $i,SV267: $i,SV58: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SV410 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV410 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2652]) ).

thf(2918,plain,
    ! [SV411: $i,SV268: $i,SV59: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SV411 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV411 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2653]) ).

thf(2919,plain,
    ! [SV412: $i,SV269: $i,SV60: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SV412 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV412 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2654]) ).

thf(2920,plain,
    ! [SV413: $i,SV270: $i,SV61: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SV413 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV413 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2655]) ).

thf(2921,plain,
    ! [SV414: $i,SV271: $i,SV62: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SV414 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV414 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2656]) ).

thf(2922,plain,
    ! [SV415: $i,SV272: $i,SV63: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SV415 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV415 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2657]) ).

thf(2923,plain,
    ! [SV416: $i,SV273: $i,SV64: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SV416 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV416 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2658]) ).

thf(2924,plain,
    ! [SV417: $i,SV274: $i,SV65: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SV417 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV417 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2659]) ).

thf(2925,plain,
    ! [SV418: $i,SV275: $i,SV66: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SV418 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV418 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2660]) ).

thf(2926,plain,
    ! [SV419: $i,SV276: $i,SV67: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SV419 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV419 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2661]) ).

thf(2927,plain,
    ! [SV420: $i,SV277: $i,SV68: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SV420 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV420 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2662]) ).

thf(2928,plain,
    ! [SV421: $i,SV278: $i,SV69: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SV421 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV421 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2663]) ).

thf(2929,plain,
    ! [SV422: $i,SV279: $i,SV70: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SV422 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV422 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2664]) ).

thf(2930,plain,
    ! [SV423: $i,SV280: $i,SV71: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SV423 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV423 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2665]) ).

thf(2931,plain,
    ! [SV424: $i,SV281: $i,SV72: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SV424 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV424 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2666]) ).

thf(2932,plain,
    ! [SV425: $i,SV282: $i,SV73: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SV425 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV425 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2667]) ).

thf(2933,plain,
    ! [SV426: $i,SV283: $i,SV74: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SV426 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV426 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2668]) ).

thf(2934,plain,
    ! [SV427: $i,SV284: $i,SV75: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SV427 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV427 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2669]) ).

thf(2935,plain,
    ! [SV482: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
        = $false )
      | ( ( ( SV77 = bot_bo1649642514l_bool )
          | ( SV77
            = ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2671]) ).

thf(2936,plain,
    ! [SV483: $i,SV79: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
        = $false )
      | ( ( ( SV79 = bot_bo844097828e_bool )
          | ( SV79
            = ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2937,plain,
    ! [SV616: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ SV616 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV616 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2674]) ).

thf(2938,plain,
    ! [SV428: $i,SV287: $i,SV84: $i] :
      ( ( ( SV84 = SV287 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ SV428 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV84 ) @ ( insert1415133716_state @ SV287 @ SV428 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2675]) ).

thf(2939,plain,
    ! [SV85: $i,SV288: $i] :
      ( ( ( is_fun_pname_bool @ SV288 )
        = $false )
      | ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( ! [SY3011: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SY3011 ) ) )
              | ( SV85 = SV288 )
              | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SY3011 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2676]) ).

thf(2940,plain,
    ! [SV429: $i,SV289: $i,SV86: $i] :
      ( ( ( SV86 = SV289 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ SV429 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV86 ) @ ( insert1556680138e_bool @ SV289 @ SV429 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2677]) ).

thf(2941,plain,
    ! [SV87: $i,SV290: $i] :
      ( ( ( is_pname @ SV290 )
        = $false )
      | ( ( is_pname @ SV87 )
        = $false )
      | ( ( ! [SY3013: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SY3013 ) ) )
              | ( SV87 = SV290 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SY3013 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2678]) ).

thf(2942,plain,
    ! [SV88: $i,SV291: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV291 ) @ SV88 ) )
        = $false )
      | ( ( SV88 = SV291 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV88 ) @ SV291 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2943,plain,
    ! [SV89: $i,SV292: $i] :
      ( ( ( is_fun1661590463l_bool @ SV292 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2680]) ).

thf(2944,plain,
    ! [SV90: $i,SV293: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV293 ) @ SV90 ) )
        = $false )
      | ( ( SV90 = SV293 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV90 ) @ SV293 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2681]) ).

thf(2945,plain,
    ! [SV91: $i,SV294: $i] :
      ( ( ( is_fun_pname_bool @ SV294 )
        = $false )
      | ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2682]) ).

thf(2946,plain,
    ! [SV430: $i,SV295: $i,SV92: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV430 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SV430 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2683]) ).

thf(2947,plain,
    ! [SV431: $i,SV296: $i,SV93: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2684]) ).

thf(2948,plain,
    ! [SV432: $i,SV297: $i,SV94: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV432 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SV432 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2685]) ).

thf(2949,plain,
    ! [SV433: $i,SV298: $i,SV95: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV433 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SV433 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2686]) ).

thf(2950,plain,
    ! [SV96: $i,SV484: $i,SV434: $i,SV299: $i] :
      ( ( ( SV299
          = ( hAPP_H356885323e_bool @ SV434 @ SV484 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV484 ) @ SV96 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2687]) ).

thf(2951,plain,
    ! [SV97: $i,SV485: $i,SV435: $i,SV300: $i] :
      ( ( ( SV300
          = ( hAPP_H1049623551e_bool @ SV435 @ SV485 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV485 ) @ SV97 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2688]) ).

thf(2952,plain,
    ! [SV98: $i,SV486: $i,SV436: $i,SV301: $i] :
      ( ( ( SV301
          = ( hAPP_p61793385e_bool @ SV436 @ SV486 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV486 ) @ SV98 ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2689]) ).

thf(2953,plain,
    ! [SV99: $i,SV487: $i,SV437: $i,SV302: $i] :
      ( ( ( SV302
          = ( hAPP_p442853985e_bool @ SV437 @ SV487 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV487 ) @ SV99 ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2690]) ).

thf(2954,plain,
    ! [SV100: $i,SV488: $i,SV438: $i,SV303: $i] :
      ( ( ( SV303
          = ( hAPP_f888949707_state @ SV438 @ SV488 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV488 ) @ SV100 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2691]) ).

thf(2955,plain,
    ! [SV101: $i,SV489: $i,SV439: $i,SV304: $i] :
      ( ( ( SV304
          = ( hAPP_f1387463497_state @ SV439 @ SV489 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV489 ) @ SV101 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2692]) ).

thf(2956,plain,
    ! [SV102: $i,SV490: $i,SV440: $i,SV305: $i] :
      ( ( ( SV305
          = ( hAPP_H1621176307_pname @ SV440 @ SV490 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV490 ) @ SV102 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2693]) ).

thf(2957,plain,
    ! [SV103: $i,SV491: $i,SV441: $i,SV306: $i] :
      ( ( ( SV306
          = ( hAPP_pname_pname @ SV441 @ SV491 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV491 ) @ SV103 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2694]) ).

thf(2958,plain,
    ! [SV104: $i,SV492: $i,SV442: $i,SV307: $i] :
      ( ( ( SV307
          = ( hAPP_f1297739591_pname @ SV442 @ SV492 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV492 ) @ SV104 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2695]) ).

thf(2959,plain,
    ! [SV105: $i,SV493: $i,SV443: $i,SV308: $i] :
      ( ( ( SV308
          = ( hAPP_f560369737_pname @ SV443 @ SV493 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV493 ) @ SV105 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2696]) ).

thf(2960,plain,
    ! [SV106: $i,SV494: $i,SV444: $i,SV309: $i] :
      ( ( ( SV309
          = ( hAPP_p1422361149_state @ SV444 @ SV494 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV494 ) @ SV106 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2697]) ).

thf(2961,plain,
    ! [SV314: $i,SV115: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV115 ) @ SV314 ) )
        = $false )
      | ( ( ( insert_pname @ SV115 @ SV314 )
          = SV314 )
        = $true )
      | ( ( is_fun_pname_bool @ SV314 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2702]) ).

thf(2962,plain,
    ! [SV324: $i,SV125: $i,SV448: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV448 ) @ SV125 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV448 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2705]) ).

thf(2963,plain,
    ! [SV325: $i,SV126: $i,SV449: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV449 ) @ SV126 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV449 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2706]) ).

thf(2964,plain,
    ! [SV450: $i,SV326: $i,SV127: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV450 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SV450 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2707]) ).

thf(2965,plain,
    ! [SV451: $i,SV327: $i,SV128: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV451 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SV451 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2708]) ).

thf(2966,plain,
    ! [SV328: $i,SV129: $i,SV452: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV452 ) @ SV129 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV452 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2709]) ).

thf(2967,plain,
    ! [SV329: $i,SV130: $i,SV453: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV453 ) @ SV130 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV453 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2710]) ).

thf(2968,plain,
    ! [SV454: $i,SV330: $i,SV131: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV454 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SV454 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2711]) ).

thf(2969,plain,
    ! [SV455: $i,SV331: $i,SV132: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV455 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SV455 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2712]) ).

thf(2970,plain,
    ! [SV336: $i,SV139: $i,SV495: $i,SV456: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SV495 ) )
        = $false )
      | ( ( ( SV139
           != ( hAPP_p1422361149_state @ SV336 @ SV456 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SV495 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2713]) ).

thf(2971,plain,
    ! [SV143: $i,SV340: $i] :
      ( ( ( is_pname @ SV340 )
        = $false )
      | ( ( is_pname @ SV143 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
          | ( SV143 = SV340 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2715]) ).

thf(2972,plain,
    ! [SV148: $i,SV344: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV344 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV148 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV148 ) @ SV344 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2716]) ).

thf(2973,plain,
    ! [SV149: $i,SV345: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV345 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV149 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV149 ) @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2717]) ).

thf(2974,plain,
    ! [SV150: $i,SV346: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV346 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV150 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV150 ) @ SV346 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2718]) ).

thf(2975,plain,
    ! [SV151: $i,SV347: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV347 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV151 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV151 ) @ SV347 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2719]) ).

thf(2976,plain,
    ! [SV348: $i,SV152: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV152 ) @ SV348 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV152 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV348 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2720]) ).

thf(2977,plain,
    ! [SV349: $i,SV153: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV153 ) @ SV349 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV153 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV349 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2721]) ).

thf(2978,plain,
    ! [SV350: $i,SV154: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV154 ) @ SV350 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV154 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV350 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(2979,plain,
    ! [SV351: $i,SV155: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV155 ) @ SV351 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV155 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV351 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2723]) ).

thf(2980,plain,
    ! [SV497: $i,SV465: $i] :
      ( ( ( ( hAPP_p799580910on_com @ body @ SV465 )
          = ( some_com @ SV497 ) )
        = $false )
      | ( ( hBOOL @ ( wt @ SV497 ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2731]) ).

thf(2981,plain,
    ! [SV362: $i,SV171: $i] :
      ( ( ( hBOOL @ SV171 )
        = $false )
      | ( ( hBOOL @ SV362 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV362 ) @ SV171 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2732]) ).

thf(2982,plain,
    ! [SV369: $i,SV179: $i] :
      ( ( ( hBOOL @ SV179 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV179 ) @ SV369 ) )
        = $false )
      | ( ( hBOOL @ SV369 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2734]) ).

thf(2983,plain,
    ! [SV180: $i,SV370: $i] :
      ( ( ( is_pname @ SV370 )
        = $false )
      | ( ( is_pname @ SV180 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
          | ( SV180 = SV370 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2735]) ).

thf(2984,plain,
    ! [SV182: $i,SV372: $i] :
      ( ( ( is_fun_pname_bool @ SV372 )
        = $false )
      | ( ( is_fun_pname_bool @ SV182 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
          | ( SV182 = SV372 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2736]) ).

thf(2985,plain,
    ! [SV499: $i,SV617: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV617 ) )
        = $true )
      | ( ( ( SV617 != bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SV617 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2737]) ).

thf(2986,plain,
    ! [SV500: $i,SV618: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV618 ) )
        = $true )
      | ( ( ( SV618 = bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV500 ) @ SV618 )
            = ( insert1415133716_state @ SV500 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2738]) ).

thf(2987,plain,
    ! [SV619: $i,SV711: $i,SV196: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV711 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SV711 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SV711 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2739]) ).

thf(2988,plain,
    ! [SV196: $i] :
      ( ( ~ ! [SY2868: $i,SY2869: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2740]) ).

thf(2989,plain,
    ! [SV196: $i] :
      ( ( ~ ! [SY2870: $i,SY2871: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2740]) ).

thf(2990,plain,
    ! [SV501: $i] :
      ( ( ( SV501 = bot_bo620288102e_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV501 ) @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2741]) ).

thf(2991,plain,
    ! [SV502: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV502 ) @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( SV502 = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2742]) ).

thf(2992,plain,
    ! [SV503: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV620 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SV620 ) @ SV503 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2743]) ).

thf(2993,plain,
    ! [SV504: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV504 ) ) )
        = $false )
      | ( ( ! [SY3104: $i] : ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SY3104 ) @ SV504 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2744]) ).

thf(2994,plain,
    ! [SV621: $i,SV505: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV505 @ SV621 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV621 ) ) @ SV505 ) )
          = ( insert1325755072e_bool @ SV621 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2745]) ).

thf(2995,plain,
    ! [SV622: $i,SV506: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV506 @ SV622 ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV622 ) ) @ SV506 ) )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2746]) ).

thf(2996,plain,
    ! [SV197: $i,SV385: $i,SV474: $i] :
      ( ( ( ~ ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) )
          | ~ ~ ( ( SV197
                 != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2747]) ).

thf(2997,plain,
    ! [SV507: $i,SV623: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV623 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SV623 ) @ SV507 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2748]) ).

thf(2998,plain,
    ! [SV508: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV508 ) ) )
        = $false )
      | ( ( ! [SY3108: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SY3108 ) @ SV508 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2749]) ).

thf(2999,plain,
    ! [SV624: $i,SV509: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV509 ) @ SV624 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ SV624 @ SV509 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2750]) ).

thf(3000,plain,
    ! [SV510: $i,SV625: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV625 @ SV510 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV510 ) @ SV625 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2751]) ).

thf(3001,plain,
    ! [SV626: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 )
          | ~ ( is_pname @ SV626 ) )
        = $true )
      | ( ( ! [SY3194: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SY3194 ) ) )
              | ( SV198 = SV626 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3194 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2752]) ).

thf(3002,plain,
    ! [SV198: $i] :
      ( ( ~ ! [SY2876: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2876 )
              | ( SV198 != SY2876 )
              | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(3003,plain,
    ! [SV198: $i] :
      ( ( ~ ! [SY2878: $i] :
              ( ~ ( is_pname @ SV198 )
              | ~ ( is_pname @ SY2878 )
              | ! [SY2879: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                  | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(3004,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( is_pname @ ( sK3_X_1 @ SV386 @ SV199 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2754]) ).

thf(3005,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
              | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2755]) ).

thf(3006,plain,
    ! [SV511: $i] :
      ( ( ( ~ ( is_pname @ ( sK31_X_1 @ SV511 ) )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ SV511 @ ( sK31_X_1 @ SV511 ) ) ) )
        = $false )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(3007,plain,
    ! [SV512: $i] :
      ( ( ( ( collect_pname @ SV512 )
          = bot_bo844097828e_bool )
        = $false )
      | ( ( ! [SY3111: $i] :
              ( ~ ( is_pname @ SY3111 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SY3111 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2757]) ).

thf(3008,plain,
    ! [SV513: $i,SV627: $i] :
      ( ( ( ( SV627 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV513 ) @ SV627 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2758]) ).

thf(3009,plain,
    ! [SV514: $i,SV628: $i] :
      ( ( ( SV628 = bot_bo620288102e_bool )
        = $true )
      | ( ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV514 ) @ SV628 )
          = ( insert1325755072e_bool @ SV514 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2759]) ).

thf(3010,plain,
    ! [SV516: $i,SV712: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV712 ) @ SV516 ) ) )
        = $true )
      | ( ( ( SV516 != bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2761]) ).

thf(3011,plain,
    ! [SV517: $i,SV629: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV629 ) )
        = $true )
      | ( ( ( ( image_2003357581_state @ SV517 @ SV629 )
           != bot_bo620288102e_bool )
          | ( SV629 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2762]) ).

thf(3012,plain,
    ! [SV518: $i,SV630: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV630 ) )
        = $true )
      | ( ( ( SV630 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ SV518 @ SV630 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2763]) ).

thf(3013,plain,
    ! [SV519: $i,SV631: $i] :
      ( ( ( ( SV631 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV519 ) @ SV631 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2764]) ).

thf(3014,plain,
    ! [SV520: $i,SV632: $i] :
      ( ( ( SV632 = bot_bo620288102e_bool )
        = $true )
      | ( ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV520 ) @ SV632 )
          = ( insert_pname @ SV520 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2765]) ).

thf(3015,plain,
    ! [SV521: $i] :
      ( ( ( ~ ( is_pname @ ( sK25_X_1 @ SV521 ) )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ SV521 @ ( sK25_X_1 @ SV521 ) ) ) )
        = $false )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2766]) ).

thf(3016,plain,
    ! [SV522: $i] :
      ( ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV522 ) )
        = $false )
      | ( ( ! [SY3119: $i] :
              ( ~ ( is_pname @ SY3119 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SY3119 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2767]) ).

thf(3017,plain,
    ! [SV523: $i,SV633: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV633 ) )
        = $true )
      | ( ( ( bot_bo620288102e_bool
           != ( image_2003357581_state @ SV523 @ SV633 ) )
          | ( SV633 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2768]) ).

thf(3018,plain,
    ! [SV524: $i,SV634: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV634 ) )
        = $true )
      | ( ( ( SV634 != bot_bo844097828e_bool )
          | ( bot_bo620288102e_bool
            = ( image_2003357581_state @ SV524 @ SV634 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2769]) ).

thf(3019,plain,
    ! [SV525: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV525 @ ( sK27_X_1 @ SV525 ) ) ) )
        = $false )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2770]) ).

thf(3020,plain,
    ! [SV526: $i] :
      ( ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV526 ) )
        = $false )
      | ( ( ! [SY3122: $i] :
              ( ~ ( is_fun_pname_bool @ SY3122 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SY3122 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2771]) ).

thf(3021,plain,
    ! [SV528: $i] :
      ( ( ( SV528 = bot_bo535777328l_bool )
        = $false )
      | ( ( ! [SY3123: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SY3123 ) @ SV528 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2773]) ).

thf(3022,plain,
    ! [SV635: $i,SV529: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV529 @ SV635 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV635 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2774]) ).

thf(3023,plain,
    ! [SV530: $i,SV636: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV636 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV530 @ SV636 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2775]) ).

thf(3024,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2776]) ).

thf(3025,plain,
    ! [SV532: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SV637 ) @ SV532 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2777]) ).

thf(3026,plain,
    ! [SV533: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV533 ) ) )
        = $false )
      | ( ( ! [SY3127: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SY3127 ) @ SV533 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2778]) ).

thf(3027,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                    | ( SV200 = SY3070 )
                    | ( SV200 = SY3071 ) )
              | ~ ! [SY3072: $i] :
                    ( ! [SY3073: $i] :
                        ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                       != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                    | ( SV200 = SY3072 )
                    | ( SV387 = SY3072 ) ) )
        | ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                    | ( SV387 = SY3075 )
                    | ( SV200 = SY3075 ) )
              | ~ ! [SY3076: $i,SY3077: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                    | ( SV387 = SY3077 )
                    | ( SV387 = SY3076 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2779]) ).

thf(3028,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3078: $i,SY3079: $i] :
              ( ( SV200 != SY3078 )
              | ( SV387 != SY3079 )
              | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) )
        | ~ ! [SY3080: $i,SY3081: $i] :
              ( ( SV200 != SY3081 )
              | ( SV387 != SY3080 )
              | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2780]) ).

thf(3029,plain,
    ! [SV534: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SV534 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV534 @ ( sK33_X_1 @ SV534 ) ) ) )
        = $false )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2781]) ).

thf(3030,plain,
    ! [SV535: $i] :
      ( ( ( ( collec1974731493e_bool @ SV535 )
          = bot_bo1649642514l_bool )
        = $false )
      | ( ( ! [SY3128: $i] :
              ( ~ ( is_fun_pname_bool @ SY3128 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SY3128 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2782]) ).

thf(3031,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2783]) ).

thf(3032,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2784]) ).

thf(3033,plain,
    ! [SV536: $i,SV638: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV638 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SV638 ) @ SV536 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2785]) ).

thf(3034,plain,
    ! [SV537: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV537 ) ) )
        = $false )
      | ( ( ! [SY3130: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SY3130 ) @ SV537 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2786]) ).

thf(3035,plain,
    ! [SV539: $i] :
      ( ( ( bot_bo535777328l_bool
          = ( collec1823980261e_bool @ SV539 ) )
        = $false )
      | ( ( ! [SY3131: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV539 @ SY3131 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2788]) ).

thf(3036,plain,
    ! [SV540: $i] :
      ( ( ( is_fun_pname_bool @ SV540 )
        = $false )
      | ( ( ( SV540 != bot_bo844097828e_bool )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV540 ) @ bot_bo844097828e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2789]) ).

thf(3037,plain,
    ! [SV541: $i] :
      ( ( ( is_fun_pname_bool @ SV541 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV541 ) @ bot_bo844097828e_bool ) )
          | ( SV541 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2790]) ).

thf(3038,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ( ~ ( is_pname @ SV542 )
          | ~ ( is_pname @ SV639 ) )
        = $true )
      | ( ( ( SV542 != SV639 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2791]) ).

thf(3039,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ( ~ ( is_pname @ SV543 )
          | ~ ( is_pname @ SV640 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
          | ( SV543 = SV640 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2792]) ).

thf(3040,plain,
    ! [SV641: $i,SV544: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV641 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SV641 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2793]) ).

thf(3041,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2794]) ).

thf(3042,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2795]) ).

thf(3043,plain,
    ! [SV545: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SV545 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV545 @ ( sK30_X_1 @ SV545 ) ) ) )
        = $false )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2796]) ).

thf(3044,plain,
    ! [SV546: $i] :
      ( ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV546 ) )
        = $false )
      | ( ( ! [SY3135: $i] :
              ( ~ ( is_fun1661590463l_bool @ SY3135 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SY3135 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2797]) ).

thf(3045,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                          | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
              | ( SV478
               != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2798]) ).

thf(3046,plain,
    ! [SV642: $i,SV547: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV547 @ SV642 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SV642 ) ) @ SV547 ) )
          = ( insert1325755072e_bool @ SV642 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2799]) ).

thf(3047,plain,
    ! [SV643: $i,SV548: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV548 @ SV643 ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SV643 ) ) @ SV548 ) )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2800]) ).

thf(3048,plain,
    ! [SV644: $i,SV549: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV549 @ SV644 ) ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV644 ) ) @ SV549 ) )
          = ( insert1556680138e_bool @ SV644 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2801]) ).

thf(3049,plain,
    ! [SV645: $i,SV550: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV550 @ SV645 ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV645 ) ) @ SV550 ) )
          = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2802]) ).

thf(3050,plain,
    ! [SV204: $i,SV713: $i,SV646: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ SV713 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ ( insert1415133716_state @ SV204 @ SV713 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2803]) ).

thf(3051,plain,
    ! [SV204: $i,SV647: $i] :
      ( ( ( ( SV647 != SV204 ) )
        = $true )
      | ( ( ! [SY3196: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV647 ) @ ( insert1415133716_state @ SV204 @ SY3196 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2804]) ).

thf(3052,plain,
    ! [SV205: $i,SV714: $i,SV648: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ SV714 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ ( insert_pname @ SV205 @ SV714 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2805]) ).

thf(3053,plain,
    ! [SV205: $i,SV649: $i] :
      ( ( ( ( SV649 != SV205 ) )
        = $true )
      | ( ( ! [SY3198: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV649 ) @ ( insert_pname @ SV205 @ SY3198 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2806]) ).

thf(3054,plain,
    ! [SV650: $i,SV206: $i] :
      ( ( ( ! [SY3199: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ SY3199 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2807]) ).

thf(3055,plain,
    ! [SV715: $i,SV651: $i,SV206: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV651 @ SV715 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SV715 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2808]) ).

thf(3056,plain,
    ! [SV652: $i,SV551: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV551 @ SV652 ) ) )
        = $true )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV652 ) ) @ SV551 ) )
          = ( insert1415133716_state @ SV652 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2809]) ).

thf(3057,plain,
    ! [SV653: $i,SV552: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV552 @ SV653 ) )
        = $true )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV653 ) ) @ SV552 ) )
          = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2810]) ).

thf(3058,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2811]) ).

thf(3059,plain,
    ! [SV654: $i,SV553: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV553 @ SV654 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV654 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2812]) ).

thf(3060,plain,
    ! [SV554: $i,SV655: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV655 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV554 @ SV655 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2813]) ).

thf(3061,plain,
    ! [SV555: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SV555 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV555 @ ( sK36_X_1 @ SV555 ) ) ) )
        = $false )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2814]) ).

thf(3062,plain,
    ! [SV556: $i] :
      ( ( ( ( collec1613912337l_bool @ SV556 )
          = bot_bo1537088220l_bool )
        = $false )
      | ( ( ! [SY3144: $i] :
              ( ~ ( is_fun1661590463l_bool @ SY3144 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SY3144 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2815]) ).

thf(3063,plain,
    ! [SV208: $i,SV716: $i,SV656: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ SV716 ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ ( insert1325755072e_bool @ SV208 @ SV716 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2816]) ).

thf(3064,plain,
    ! [SV208: $i,SV657: $i] :
      ( ( ( ( SV657 != SV208 ) )
        = $true )
      | ( ( ! [SY3202: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV657 ) @ ( insert1325755072e_bool @ SV208 @ SY3202 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2817]) ).

thf(3065,plain,
    ! [SV557: $i,SV658: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV658 ) )
        = $true )
      | ( ( ( SV658 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SV658 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2818]) ).

thf(3066,plain,
    ! [SV558: $i,SV659: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV659 ) )
        = $true )
      | ( ( ( SV659 = bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV558 ) @ SV659 )
            = ( insert1415133716_state @ SV558 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2819]) ).

thf(3067,plain,
    ! [SV660: $i,SV559: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV660 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2820]) ).

thf(3068,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2821]) ).

thf(3069,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2822]) ).

thf(3070,plain,
    ! [SV717: $i,SV661: $i,SV209: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV661 @ SV717 ) ) )
        | ( SV209 = SV661 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2823]) ).

thf(3071,plain,
    ! [SV209: $i] :
      ( ( ~ ! [SY2920: $i] :
              ( ( SV209 != SY2920 )
              | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2824]) ).

thf(3072,plain,
    ! [SV209: $i] :
      ( ( ~ ! [SY2922: $i,SY2923: $i] :
              ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
              | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2824]) ).

thf(3073,plain,
    ! [SV662: $i,SV560: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV560 @ SV662 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV662 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2825]) ).

thf(3074,plain,
    ! [SV561: $i,SV663: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV663 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV561 @ SV663 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2826]) ).

thf(3075,plain,
    ! [SV664: $i,SV210: $i,SV718: $i] :
      ( ( ! [SY3223: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3223 ) @ SV718 ) )
            | ~ ( is_fun_pname_bool @ SY3223 )
            | ( SV210
             != ( image_2003357581_state @ SV664 @ SY3223 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2827]) ).

thf(3076,plain,
    ! [SV719: $i,SV665: $i,SV210: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
                  | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
            | ( SV210
             != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2828]) ).

thf(3077,plain,
    ! [SV211: $i,SV720: $i,SV666: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV666 ) @ SV720 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ ( insert1415133716_state @ SV666 @ SV211 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ SV211 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2829]) ).

thf(3078,plain,
    ! [SV211: $i,SV721: $i,SV667: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV667 ) @ SV721 ) )
        | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ SV211 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ ( insert1415133716_state @ SV667 @ SV211 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2830]) ).

thf(3079,plain,
    ! [SV668: $i,SV562: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV562 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV668 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2831]) ).

thf(3080,plain,
    ! [SV563: $i,SV669: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV669 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV563 @ SV669 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2832]) ).

thf(3081,plain,
    ! [SV564: $i] :
      ( ( ( is_fun1661590463l_bool @ SV564 )
        = $false )
      | ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) )
          | ( SV564 = bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2833]) ).

thf(3082,plain,
    ! [SV565: $i] :
      ( ( ( is_fun1661590463l_bool @ SV565 )
        = $false )
      | ( ( ( SV565 != bot_bo1649642514l_bool )
          | ! [SY3152: $i] :
              ( ~ ( is_fun_pname_bool @ SY3152 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3152 ) @ SV565 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2834]) ).

thf(3083,plain,
    ! [SV566: $i] :
      ( ( ( is_fun1661590463l_bool @ SV566 )
        = $false )
      | ( ( ( SV566 = bot_bo1649642514l_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
              | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2835]) ).

thf(3084,plain,
    ! [SV567: $i] :
      ( ( ( is_fun1661590463l_bool @ SV567 )
        = $false )
      | ( ( ! [SY3153: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3153 ) @ SV567 ) )
              | ~ ( is_fun_pname_bool @ SY3153 ) )
          | ( SV567 != bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2836]) ).

thf(3085,plain,
    ! [SV212: $i,SV722: $i,SV670: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ SV722 ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ ( insert1556680138e_bool @ SV212 @ SV722 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2837]) ).

thf(3086,plain,
    ! [SV212: $i,SV671: $i] :
      ( ( ( ( SV671 != SV212 ) )
        = $true )
      | ( ( ! [SY3210: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV671 ) @ ( insert1556680138e_bool @ SV212 @ SY3210 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2838]) ).

thf(3087,plain,
    ! [SV568: $i,SV672: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV672 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SV672 ) @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2839]) ).

thf(3088,plain,
    ! [SV569: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV569 ) ) )
        = $false )
      | ( ( ! [SY3155: $i] : ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SY3155 ) @ SV569 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2840]) ).

thf(3089,plain,
    ! [SV673: $i,SV570: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV570 ) @ SV673 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV673 @ SV570 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2841]) ).

thf(3090,plain,
    ! [SV571: $i,SV674: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV674 @ SV571 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV571 ) @ SV674 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2842]) ).

thf(3091,plain,
    ! [SV675: $i,SV572: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SV675 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV675 ) @ SV572 ) ) )
        = $true )
      | ( ( SV572 = SV675 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2843]) ).

thf(3092,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2844]) ).

thf(3093,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2845]) ).

thf(3094,plain,
    ! [SV723: $i,SV676: $i,SV213: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV676 ) @ SV723 ) )
        | ( SV213 = SV723 )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ SV676 @ SV723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2846]) ).

thf(3095,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY2939: $i,SY2940: $i] :
              ( ( SV213 != SY2940 )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2847]) ).

thf(3096,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY2941: $i,SY2942: $i] :
              ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
              | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2847]) ).

thf(3097,plain,
    ! [SV677: $i,SV573: $i] :
      ( ( ( ( SV573 != SV677 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV573 ) @ SV677 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2848]) ).

thf(3098,plain,
    ! [SV678: $i,SV574: $i] :
      ( ( ( ( SV574 != SV678 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV678 ) @ SV574 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2849]) ).

thf(3099,plain,
    ! [SV575: $i,SV679: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV679 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SV679 ) @ SV575 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2850]) ).

thf(3100,plain,
    ! [SV576: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV576 ) ) )
        = $false )
      | ( ( ! [SY3162: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SY3162 ) @ SV576 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2851]) ).

thf(3101,plain,
    ! [SV680: $i,SV577: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) )
          | ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV680 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SV680 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2852]) ).

thf(3102,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2853]) ).

thf(3103,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2854]) ).

thf(3104,plain,
    ! [SV681: $i,SV724: $i,SV214: $i] :
      ( ( ~ ( is_pname @ SV214 )
        | ~ ( is_pname @ SV724 )
        | ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
        | ( SV214 = SV724 )
        | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2855]) ).

thf(3105,plain,
    ! [SV214: $i] :
      ( ( ~ ! [SY2945: $i,SY2946: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2946 )
              | ( SV214 != SY2946 )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2856]) ).

thf(3106,plain,
    ! [SV214: $i] :
      ( ( ~ ! [SY2947: $i,SY2948: $i] :
              ( ~ ( is_pname @ SV214 )
              | ~ ( is_pname @ SY2948 )
              | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
              | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2856]) ).

thf(3107,plain,
    ! [SV578: $i,SV682: $i] :
      ( ( ( ( SV682 != bot_bo535777328l_bool ) )
        = $true )
      | ( ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV578 ) @ SV682 )
          = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2857]) ).

thf(3108,plain,
    ! [SV579: $i,SV683: $i] :
      ( ( ( SV683 = bot_bo535777328l_bool )
        = $true )
      | ( ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV579 ) @ SV683 )
          = ( insert1415133716_state @ SV579 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2858]) ).

thf(3109,plain,
    ! [SV581: $i] :
      ( ( ( ( collec488126193l_bool @ SV581 )
          = bot_bo1761158942l_bool )
        = $false )
      | ( ( ! [SY3166: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV581 @ SY3166 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2860]) ).

thf(3110,plain,
    ! [SV684: $i,SV582: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV582 @ SV684 ) ) )
        = $true )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV684 ) ) @ SV582 ) )
          = ( insert1415133716_state @ SV684 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2861]) ).

thf(3111,plain,
    ! [SV685: $i,SV583: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV583 @ SV685 ) )
        = $true )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV685 ) ) @ SV583 ) )
          = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2862]) ).

thf(3112,plain,
    ! [SV686: $i,SV725: $i,SV215: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV725 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SV725 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SV725 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2863]) ).

thf(3113,plain,
    ! [SV215: $i] :
      ( ( ~ ! [SY2951: $i,SY2952: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2864]) ).

thf(3114,plain,
    ! [SV215: $i] :
      ( ( ~ ! [SY2953: $i,SY2954: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2864]) ).

thf(3115,plain,
    ! [SV585: $i] :
      ( ( ( ( collec307967673_state @ SV585 )
          = bot_bo620288102e_bool )
        = $false )
      | ( ( ! [SY3169: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV585 @ SY3169 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2866]) ).

thf(3116,plain,
    ! [SV587: $i] :
      ( ( ( bot_bo1761158942l_bool
          = ( collec488126193l_bool @ SV587 ) )
        = $false )
      | ( ( ! [SY3170: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV587 @ SY3170 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2868]) ).

thf(3117,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV588 )
          | ~ ( is_fun_pname_bool @ SV687 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
          | ( SV588 = SV687 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2869]) ).

thf(3118,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ~ ( is_fun_pname_bool @ SX1 )
          | ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2870]) ).

thf(3119,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun_pname_bool @ SX0 )
          | ~ ( is_fun_pname_bool @ SX1 )
          | ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2871]) ).

thf(3120,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2872]) ).

thf(3121,plain,
    ! [SV688: $i,SV589: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV589 @ SV688 ) ) )
        = $true )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SV688 ) ) @ SV589 ) )
          = ( insert_pname @ SV688 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2873]) ).

thf(3122,plain,
    ! [SV689: $i,SV590: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV590 @ SV689 ) )
        = $true )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SV689 ) ) @ SV590 ) )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2874]) ).

thf(3123,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ~ ( is_pname @ SV591 )
          | ~ ( is_pname @ SV690 ) )
        = $true )
      | ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
           != ( hAPP_pname_com @ body_1 @ SV690 ) )
          | ( SV591 = SV690 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2875]) ).

thf(3124,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ~ ( is_pname @ SV592 )
          | ~ ( is_pname @ SV691 ) )
        = $true )
      | ( ( ( SV592 != SV691 )
          | ( ( hAPP_pname_com @ body_1 @ SV592 )
            = ( hAPP_pname_com @ body_1 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2876]) ).

thf(3125,plain,
    ! [SV594: $i] :
      ( ( ( SV594 = bot_bo620288102e_bool )
        = $false )
      | ( ( ! [SY3176: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SY3176 ) @ SV594 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2878]) ).

thf(3126,plain,
    ! [SV692: $i,SV595: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV595 @ SV692 ) ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SV692 ) ) @ SV595 ) )
          = ( insert1556680138e_bool @ SV692 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2879]) ).

thf(3127,plain,
    ! [SV693: $i,SV596: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV596 @ SV693 ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SV693 ) ) @ SV596 ) )
          = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2880]) ).

thf(3128,plain,
    ! [SV597: $i] :
      ( ( ( is_fun_pname_bool @ SV597 )
        = $false )
      | ( ( ~ ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) )
          | ( SV597 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2881]) ).

thf(3129,plain,
    ! [SV598: $i] :
      ( ( ( is_fun_pname_bool @ SV598 )
        = $false )
      | ( ( ( SV598 != bot_bo844097828e_bool )
          | ! [SY3179: $i] :
              ( ~ ( is_pname @ SY3179 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3179 ) @ SV598 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2882]) ).

thf(3130,plain,
    ! [SV600: $i] :
      ( ( ( ( collec1823980261e_bool @ SV600 )
          = bot_bo535777328l_bool )
        = $false )
      | ( ( ! [SY3180: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV600 @ SY3180 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2884]) ).

thf(3131,plain,
    ! [SV694: $i,SV601: $i] :
      ( ( ( ( SV601 != SV694 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV601 ) @ ( insert1415133716_state @ SV694 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2885]) ).

thf(3132,plain,
    ! [SV695: $i,SV602: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV602 ) @ ( insert1415133716_state @ SV695 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( SV602 = SV695 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2886]) ).

thf(3133,plain,
    ! [SV217: $i,SV726: $i,SV696: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV726 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
        | ( ( insert1415133716_state @ SV696 @ SV726 )
         != ( insert1415133716_state @ SV696 @ SV217 ) )
        | ( SV726 = SV217 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2887]) ).

thf(3134,plain,
    ! [SV217: $i,SV727: $i,SV697: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV727 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
        | ( SV727 != SV217 )
        | ( ( insert1415133716_state @ SV697 @ SV727 )
          = ( insert1415133716_state @ SV697 @ SV217 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2888]) ).

thf(3135,plain,
    ! [SV698: $i,SV603: $i] :
      ( ( ( ( SV603 != SV698 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV603 ) @ SV698 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2889]) ).

thf(3136,plain,
    ! [SV699: $i,SV604: $i] :
      ( ( ( ( SV604 != SV699 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV699 ) @ SV604 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2890]) ).

thf(3137,plain,
    ! [SV606: $i,SV728: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV728 ) @ SV606 ) ) )
        = $true )
      | ( ( ( SV606 != bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2892]) ).

thf(3138,plain,
    ! [SV608: $i] :
      ( ( ( bot_bo620288102e_bool
          = ( collec307967673_state @ SV608 ) )
        = $false )
      | ( ( ! [SY3186: $i] :
              ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV608 @ SY3186 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2894]) ).

thf(3139,plain,
    ! [SV218: $i,SV729: $i,SV700: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV700 ) @ SV729 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ ( insert_pname @ SV700 @ SV218 ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ SV218 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2895]) ).

thf(3140,plain,
    ! [SV218: $i,SV730: $i,SV701: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV701 ) @ SV730 ) )
        | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ SV218 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ ( insert_pname @ SV701 @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2896]) ).

thf(3141,plain,
    ! [SV702: $i,SV731: $i,SV219: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV219 )
        | ~ ( is_fun_pname_bool @ SV731 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
        | ( ( insert_pname @ SV702 @ SV731 )
         != ( insert_pname @ SV702 @ SV219 ) )
        | ( SV731 = SV219 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2897]) ).

thf(3142,plain,
    ! [SV703: $i,SV732: $i,SV219: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV219 )
        | ~ ( is_fun_pname_bool @ SV732 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
        | ( SV732 != SV219 )
        | ( ( insert_pname @ SV703 @ SV732 )
          = ( insert_pname @ SV703 @ SV219 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2898]) ).

thf(3143,plain,
    ! [SV704: $i,SV220: $i,SV733: $i] :
      ( ( ! [SY3224: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3224 ) @ SV733 ) )
            | ~ ( is_pname @ SY3224 )
            | ( SV220
             != ( hAPP_p1422361149_state @ SV704 @ SY3224 ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2899]) ).

thf(3144,plain,
    ! [SV734: $i,SV705: $i,SV220: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        | ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
                  | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
            | ( SV220
             != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2900]) ).

thf(3145,plain,
    ! [SV609: $i,SV706: $i] :
      ( ( ( ( SV706 != bot_bo620288102e_bool ) )
        = $true )
      | ( ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV609 ) @ SV706 )
          = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2901]) ).

thf(3146,plain,
    ! [SV610: $i,SV707: $i] :
      ( ( ( SV707 = bot_bo620288102e_bool )
        = $true )
      | ( ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV610 ) @ SV707 )
          = ( insert1556680138e_bool @ SV610 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2902]) ).

thf(3147,plain,
    ! [SV708: $i,SV611: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV611 @ SV708 ) ) )
        = $true )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SV708 ) ) @ SV611 ) )
          = ( insert_pname @ SV708 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2903]) ).

thf(3148,plain,
    ! [SV709: $i,SV612: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV612 @ SV709 ) )
        = $true )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SV709 ) ) @ SV612 ) )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2904]) ).

thf(3149,plain,
    ! [SV613: $i] :
      ( ( ( is_fun_pname_bool @ SV613 )
        = $false )
      | ( ( ( SV613 = bot_bo844097828e_bool )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
              | ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2905]) ).

thf(3150,plain,
    ! [SV614: $i] :
      ( ( ( is_fun_pname_bool @ SV614 )
        = $false )
      | ( ( ! [SY3191: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3191 ) @ SV614 ) )
              | ~ ( is_pname @ SY3191 ) )
          | ( SV614 != bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2906]) ).

thf(3151,plain,
    ! [SV710: $i,SV615: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV710 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SV710 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2907]) ).

thf(3152,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2908]) ).

thf(3153,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SX0 ) @ SX1 ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2909]) ).

thf(3154,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV393 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2910]) ).

thf(3155,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2911]) ).

thf(3156,plain,
    ! [SV224: $i,SV394: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV5 ) @ SV394 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV5 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV224 ) @ SV394 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2912]) ).

thf(3157,plain,
    ! [SV395: $i,SV6: $i,SV225: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV225 ) @ SV6 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV6 ) @ SV395 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV225 ) @ SV395 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2913]) ).

thf(3158,plain,
    ! [SV396: $i,SV226: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV226 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV7 ) @ SV396 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV226 ) @ SV396 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2914]) ).

thf(3159,plain,
    ! [SV397: $i,SV8: $i,SV227: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ SV8 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ SV8 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV227 ) @ ( insert1415133716_state @ SV397 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2915]) ).

thf(3160,plain,
    ! [SV409: $i,SV266: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV57 ) @ ( image_2003357581_state @ SV266 @ SV409 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV57 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV409 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2916]) ).

thf(3161,plain,
    ! [SV410: $i,SV267: $i,SV58: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV58 ) @ ( image_1705983821_pname @ SV267 @ SV410 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV58 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV410 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2917]) ).

thf(3162,plain,
    ! [SV411: $i,SV268: $i,SV59: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV59 ) @ ( image_1619336331_pname @ SV268 @ SV411 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV59 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV411 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2918]) ).

thf(3163,plain,
    ! [SV412: $i,SV269: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV60 ) @ ( image_187965177_pname @ SV269 @ SV412 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV60 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV412 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2919]) ).

thf(3164,plain,
    ! [SV413: $i,SV270: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV61 ) @ ( image_1283814551_pname @ SV270 @ SV413 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV61 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV413 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2920]) ).

thf(3165,plain,
    ! [SV414: $i,SV271: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV62 ) @ ( image_677922117_state @ SV271 @ SV414 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV62 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV414 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2921]) ).

thf(3166,plain,
    ! [SV415: $i,SV272: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV63 ) @ ( image_892968839_state @ SV272 @ SV415 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV63 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV415 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2922]) ).

thf(3167,plain,
    ! [SV416: $i,SV273: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV64 ) @ ( image_18964633_state @ SV273 @ SV416 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV64 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV416 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2923]) ).

thf(3168,plain,
    ! [SV417: $i,SV274: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV65 ) @ ( image_516545147_state @ SV274 @ SV417 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV65 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV417 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2924]) ).

thf(3169,plain,
    ! [SV418: $i,SV275: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV66 ) @ ( image_1642285373l_bool @ SV275 @ SV418 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV66 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV418 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2925]) ).

thf(3170,plain,
    ! [SV419: $i,SV276: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV67 ) @ ( image_288317893l_bool @ SV276 @ SV419 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV67 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV419 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2926]) ).

thf(3171,plain,
    ! [SV420: $i,SV277: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV68 ) @ ( image_pname_pname @ SV277 @ SV420 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV68 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV420 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2927]) ).

thf(3172,plain,
    ! [SV421: $i,SV278: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV69 ) @ ( image_70449425e_bool @ SV278 @ SV421 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV69 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV421 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2928]) ).

thf(3173,plain,
    ! [SV422: $i,SV279: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV70 ) @ ( image_47868345e_bool @ SV279 @ SV422 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV70 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV422 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2929]) ).

thf(3174,plain,
    ! [SV423: $i,SV280: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ ( hAPP_f1759205631l_bool @ ord_le1375671464l_bool @ SV71 ) @ ( image_1210605179l_bool @ SV280 @ SV423 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ SV71 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV423 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2930]) ).

thf(3175,plain,
    ! [SV424: $i,SV281: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ ( hAPP_f667366769l_bool @ ord_le889598034l_bool @ SV72 ) @ ( image_1761575943l_bool @ SV281 @ SV424 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ SV72 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV424 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2931]) ).

thf(3176,plain,
    ! [SV425: $i,SV282: $i,SV73: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV73 ) @ ( image_54689091_pname @ SV282 @ SV425 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV73 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV425 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2932]) ).

thf(3177,plain,
    ! [SV426: $i,SV283: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV74 ) @ ( image_1828608335e_bool @ SV283 @ SV426 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV74 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV426 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2933]) ).

thf(3178,plain,
    ! [SV427: $i,SV284: $i,SV75: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV75 ) @ ( image_2131964411e_bool @ SV284 @ SV427 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV75 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV427 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2934]) ).

thf(3179,plain,
    ! [SV482: $i,SV77: $i] :
      ( ( ( SV77 = bot_bo1649642514l_bool )
        = $true )
      | ( ( SV77
          = ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV77 ) @ ( insert1325755072e_bool @ SV482 @ bot_bo1649642514l_bool ) ) )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV77 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2935]) ).

thf(3180,plain,
    ! [SV483: $i,SV79: $i] :
      ( ( ( SV79 = bot_bo844097828e_bool )
        = $true )
      | ( ( SV79
          = ( insert_pname @ SV483 @ bot_bo844097828e_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV79 ) @ ( insert_pname @ SV483 @ bot_bo844097828e_bool ) ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV79 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2936]) ).

thf(3181,plain,
    ! [SV616: $i] :
      ( ( ( hBOOL @ ( wt @ SV616 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ bot_bo620288102e_bool ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV616 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ wT_bodies )
        = $false )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2937]) ).

thf(3182,plain,
    ! [SV735: $i,SV288: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SV735 ) ) )
          | ( SV85 = SV288 )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SV735 ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( is_fun_pname_bool @ SV288 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2939]) ).

thf(3183,plain,
    ! [SV736: $i,SV290: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SV736 ) ) )
          | ( SV87 = SV290 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SV736 ) ) )
        = $true )
      | ( ( is_pname @ SV87 )
        = $false )
      | ( ( is_pname @ SV290 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2941]) ).

thf(3184,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2943]) ).

thf(3185,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( is_fun_pname_bool @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2945]) ).

thf(3186,plain,
    ! [SV430: $i,SV295: $i,SV92: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV295 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV92 ) @ SV430 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV295 ) @ SV430 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2946]) ).

thf(3187,plain,
    ! [SV431: $i,SV296: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV296 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV93 ) @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV296 ) @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2947]) ).

thf(3188,plain,
    ! [SV432: $i,SV297: $i,SV94: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV297 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV94 ) @ SV432 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV297 ) @ SV432 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2948]) ).

thf(3189,plain,
    ! [SV433: $i,SV298: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV298 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV95 ) @ SV433 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV298 ) @ SV433 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2949]) ).

thf(3190,plain,
    ! [SV434: $i,SV299: $i,SV96: $i,SV484: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV484 ) @ SV96 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) )
        = $true )
      | ( ( SV299
          = ( hAPP_H356885323e_bool @ SV434 @ SV484 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2950]) ).

thf(3191,plain,
    ! [SV435: $i,SV300: $i,SV97: $i,SV485: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV485 ) @ SV97 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) )
        = $true )
      | ( ( SV300
          = ( hAPP_H1049623551e_bool @ SV435 @ SV485 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2951]) ).

thf(3192,plain,
    ! [SV436: $i,SV301: $i,SV98: $i,SV486: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV486 ) @ SV98 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) )
        = $true )
      | ( ( SV301
          = ( hAPP_p61793385e_bool @ SV436 @ SV486 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2952]) ).

thf(3193,plain,
    ! [SV437: $i,SV302: $i,SV99: $i,SV487: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV487 ) @ SV99 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) )
        = $true )
      | ( ( SV302
          = ( hAPP_p442853985e_bool @ SV437 @ SV487 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2953]) ).

thf(3194,plain,
    ! [SV438: $i,SV303: $i,SV100: $i,SV488: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV488 ) @ SV100 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) )
        = $true )
      | ( ( SV303
          = ( hAPP_f888949707_state @ SV438 @ SV488 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2954]) ).

thf(3195,plain,
    ! [SV439: $i,SV304: $i,SV101: $i,SV489: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV489 ) @ SV101 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) )
        = $true )
      | ( ( SV304
          = ( hAPP_f1387463497_state @ SV439 @ SV489 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2955]) ).

thf(3196,plain,
    ! [SV440: $i,SV305: $i,SV102: $i,SV490: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV490 ) @ SV102 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) )
        = $true )
      | ( ( SV305
          = ( hAPP_H1621176307_pname @ SV440 @ SV490 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2956]) ).

thf(3197,plain,
    ! [SV441: $i,SV306: $i,SV103: $i,SV491: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV491 ) @ SV103 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) )
        = $true )
      | ( ( SV306
          = ( hAPP_pname_pname @ SV441 @ SV491 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2957]) ).

thf(3198,plain,
    ! [SV442: $i,SV307: $i,SV104: $i,SV492: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV492 ) @ SV104 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) )
        = $true )
      | ( ( SV307
          = ( hAPP_f1297739591_pname @ SV442 @ SV492 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2958]) ).

thf(3199,plain,
    ! [SV443: $i,SV308: $i,SV105: $i,SV493: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV493 ) @ SV105 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) )
        = $true )
      | ( ( SV308
          = ( hAPP_f560369737_pname @ SV443 @ SV493 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2959]) ).

thf(3200,plain,
    ! [SV444: $i,SV309: $i,SV106: $i,SV494: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV494 ) @ SV106 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) )
        = $true )
      | ( ( SV309
          = ( hAPP_p1422361149_state @ SV444 @ SV494 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2960]) ).

thf(3201,plain,
    ! [SV324: $i,SV125: $i,SV448: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV448 ) @ SV125 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV125 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV324 ) @ SV448 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2962]) ).

thf(3202,plain,
    ! [SV325: $i,SV126: $i,SV449: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV449 ) @ SV126 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV126 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV325 ) @ SV449 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2963]) ).

thf(3203,plain,
    ! [SV450: $i,SV326: $i,SV127: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV326 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV127 ) @ SV450 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV326 ) @ SV450 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2964]) ).

thf(3204,plain,
    ! [SV451: $i,SV327: $i,SV128: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV327 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV128 ) @ SV451 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV327 ) @ SV451 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2965]) ).

thf(3205,plain,
    ! [SV328: $i,SV129: $i,SV452: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV452 ) @ SV129 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV129 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV328 ) @ SV452 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2966]) ).

thf(3206,plain,
    ! [SV329: $i,SV130: $i,SV453: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV453 ) @ SV130 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV130 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV329 ) @ SV453 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2967]) ).

thf(3207,plain,
    ! [SV454: $i,SV330: $i,SV131: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV330 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV131 ) @ SV454 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV330 ) @ SV454 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2968]) ).

thf(3208,plain,
    ! [SV455: $i,SV331: $i,SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV331 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV132 ) @ SV455 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV331 ) @ SV455 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2969]) ).

thf(3209,plain,
    ! [SV495: $i,SV456: $i,SV336: $i,SV139: $i] :
      ( ( ( ( SV139
           != ( hAPP_p1422361149_state @ SV336 @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SV495 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SV495 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2970]) ).

thf(3210,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) ) )
        = $true )
      | ( ( SV143 = SV340 )
        = $true )
      | ( ( is_pname @ SV143 )
        = $false )
      | ( ( is_pname @ SV340 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2971]) ).

thf(3211,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) ) )
        = $true )
      | ( ( SV180 = SV370 )
        = $true )
      | ( ( is_pname @ SV180 )
        = $false )
      | ( ( is_pname @ SV370 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2983]) ).

thf(3212,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) ) )
        = $true )
      | ( ( SV182 = SV372 )
        = $true )
      | ( ( is_fun_pname_bool @ SV182 )
        = $false )
      | ( ( is_fun_pname_bool @ SV372 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2984]) ).

thf(3213,plain,
    ! [SV499: $i,SV617: $i] :
      ( ( ( is_fun1661590463l_bool @ SV617 )
        = $false )
      | ( ( ( SV617 != bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SV617 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2985]) ).

thf(3214,plain,
    ! [SV500: $i,SV618: $i] :
      ( ( ( is_fun1661590463l_bool @ SV618 )
        = $false )
      | ( ( ( SV618 = bot_bo1649642514l_bool )
          | ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV500 ) @ SV618 )
            = ( insert1415133716_state @ SV500 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2986]) ).

thf(3215,plain,
    ! [SV619: $i,SV711: $i,SV196: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV711 ) )
          | ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SV711 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SV711 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2987]) ).

thf(3216,plain,
    ! [SV196: $i] :
      ( ( ! [SY2868: $i,SY2869: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2868 ) ) @ SY2869 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY2869 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2988]) ).

thf(3217,plain,
    ! [SV196: $i] :
      ( ( ! [SY2870: $i,SY2871: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SY2870 ) ) @ SY2871 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY2870 ) @ SY2871 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2989]) ).

thf(3218,plain,
    ! [SV503: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV620 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SV620 ) @ SV503 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2992]) ).

thf(3219,plain,
    ! [SV504: $i,SV737: $i] :
      ( ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ ( cOMBS_1358309691l_bool @ ( cOMBB_404111180l_bool @ fconj @ SV737 ) @ SV504 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f468958928l_bool @ finite796539827l_bool @ ( collec488126193l_bool @ SV504 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2993]) ).

thf(3220,plain,
    ! [SV621: $i,SV505: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV505 @ SV621 ) )
        = $false )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV621 ) ) @ SV505 ) )
          = ( insert1325755072e_bool @ SV621 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2994]) ).

thf(3221,plain,
    ! [SV197: $i,SV385: $i,SV474: $i] :
      ( ( ( ~ ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3222,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( ~ ~ ( ( SV197
                 != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3223,plain,
    ! [SV507: $i,SV623: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV623 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SV623 ) @ SV507 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2997]) ).

thf(3224,plain,
    ! [SV508: $i,SV738: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ SV738 ) @ SV508 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV508 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2998]) ).

thf(3225,plain,
    ! [SV624: $i,SV509: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV509 ) @ SV624 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_pname_bool @ SV624 @ SV509 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2999]) ).

thf(3226,plain,
    ! [SV510: $i,SV625: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV625 @ SV510 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV510 ) @ SV625 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3000]) ).

thf(3227,plain,
    ! [SV626: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV626 ) )
        = $true )
      | ( ( ! [SY3194: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SY3194 ) ) )
              | ( SV198 = SV626 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3194 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3001]) ).

thf(3228,plain,
    ! [SV198: $i] :
      ( ( ! [SY2876: $i] :
            ( ~ ( is_pname @ SV198 )
            | ~ ( is_pname @ SY2876 )
            | ( SV198 != SY2876 )
            | ! [SY2877: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2876 @ SY2877 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3002]) ).

thf(3229,plain,
    ! [SV198: $i] :
      ( ( ! [SY2878: $i] :
            ( ~ ( is_pname @ SV198 )
            | ~ ( is_pname @ SY2878 )
            | ! [SY2879: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY2879 ) )
                | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SY2878 @ SY2879 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3003]) ).

thf(3230,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
          | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3005]) ).

thf(3231,plain,
    ! [SV511: $i] :
      ( ( ( ~ ( is_pname @ ( sK31_X_1 @ SV511 ) ) )
        = $false )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3232,plain,
    ! [SV511: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV511 @ ( sK31_X_1 @ SV511 ) ) ) )
        = $false )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3233,plain,
    ! [SV512: $i,SV739: $i] :
      ( ( ( ~ ( is_pname @ SV739 )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SV739 ) ) )
        = $true )
      | ( ( ( collect_pname @ SV512 )
          = bot_bo844097828e_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3007]) ).

thf(3234,plain,
    ! [SV513: $i,SV627: $i] :
      ( ( ( SV627 = bot_bo620288102e_bool )
        = $false )
      | ( ( ( image_2131964411e_bool @ ( cOMBK_2035509764_state @ SV513 ) @ SV627 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3008]) ).

thf(3235,plain,
    ! [SV516: $i,SV712: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV712 ) @ SV516 ) )
        = $false )
      | ( ( ( SV516 != bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3010]) ).

thf(3236,plain,
    ! [SV517: $i,SV629: $i] :
      ( ( ( is_fun_pname_bool @ SV629 )
        = $false )
      | ( ( ( ( image_2003357581_state @ SV517 @ SV629 )
           != bot_bo620288102e_bool )
          | ( SV629 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3011]) ).

thf(3237,plain,
    ! [SV518: $i,SV630: $i] :
      ( ( ( is_fun_pname_bool @ SV630 )
        = $false )
      | ( ( ( SV630 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ SV518 @ SV630 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3012]) ).

thf(3238,plain,
    ! [SV519: $i,SV631: $i] :
      ( ( ( SV631 = bot_bo620288102e_bool )
        = $false )
      | ( ( ( image_54689091_pname @ ( cOMBK_168215364_state @ SV519 ) @ SV631 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3013]) ).

thf(3239,plain,
    ! [SV521: $i] :
      ( ( ( ~ ( is_pname @ ( sK25_X_1 @ SV521 ) ) )
        = $false )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3015]) ).

thf(3240,plain,
    ! [SV521: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV521 @ ( sK25_X_1 @ SV521 ) ) ) )
        = $false )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3015]) ).

thf(3241,plain,
    ! [SV522: $i,SV740: $i] :
      ( ( ( ~ ( is_pname @ SV740 )
          | ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SV740 ) ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV522 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3016]) ).

thf(3242,plain,
    ! [SV523: $i,SV633: $i] :
      ( ( ( is_fun_pname_bool @ SV633 )
        = $false )
      | ( ( ( bot_bo620288102e_bool
           != ( image_2003357581_state @ SV523 @ SV633 ) )
          | ( SV633 = bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3017]) ).

thf(3243,plain,
    ! [SV524: $i,SV634: $i] :
      ( ( ( is_fun_pname_bool @ SV634 )
        = $false )
      | ( ( ( SV634 != bot_bo844097828e_bool )
          | ( bot_bo620288102e_bool
            = ( image_2003357581_state @ SV524 @ SV634 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3018]) ).

thf(3244,plain,
    ! [SV525: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK27_X_1 @ SV525 ) ) )
        = $false )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3019]) ).

thf(3245,plain,
    ! [SV525: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV525 @ ( sK27_X_1 @ SV525 ) ) ) )
        = $false )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3019]) ).

thf(3246,plain,
    ! [SV526: $i,SV741: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV741 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SV741 ) ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV526 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3020]) ).

thf(3247,plain,
    ! [SV528: $i,SV742: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV742 ) @ SV528 ) ) )
        = $true )
      | ( ( SV528 = bot_bo535777328l_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3021]) ).

thf(3248,plain,
    ! [SV635: $i,SV529: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV529 @ SV635 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV635 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3022]) ).

thf(3249,plain,
    ! [SV530: $i,SV636: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV636 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( insert1415133716_state @ SV530 @ SV636 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3023]) ).

thf(3250,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3024]) ).

thf(3251,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3024]) ).

thf(3252,plain,
    ! [SV532: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV637 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SV637 ) @ SV532 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3025]) ).

thf(3253,plain,
    ! [SV533: $i,SV743: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ SV743 ) @ SV533 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV533 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3026]) ).

thf(3254,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                    | ( SV200 = SY3070 )
                    | ( SV200 = SY3071 ) )
              | ~ ! [SY3072: $i] :
                    ( ! [SY3073: $i] :
                        ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                       != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                    | ( SV200 = SY3072 )
                    | ( SV387 = SY3072 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3027]) ).

thf(3255,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                    | ( SV387 = SY3075 )
                    | ( SV200 = SY3075 ) )
              | ~ ! [SY3076: $i,SY3077: $i] :
                    ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                    | ( SV387 = SY3077 )
                    | ( SV387 = SY3076 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3027]) ).

thf(3256,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3078: $i,SY3079: $i] :
              ( ( SV200 != SY3078 )
              | ( SV387 != SY3079 )
              | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3028]) ).

thf(3257,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3080: $i,SY3081: $i] :
              ( ( SV200 != SY3081 )
              | ( SV387 != SY3080 )
              | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3028]) ).

thf(3258,plain,
    ! [SV534: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK33_X_1 @ SV534 ) ) )
        = $false )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3029]) ).

thf(3259,plain,
    ! [SV534: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV534 @ ( sK33_X_1 @ SV534 ) ) ) )
        = $false )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3029]) ).

thf(3260,plain,
    ! [SV535: $i,SV744: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV744 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SV744 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV535 )
          = bot_bo1649642514l_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3030]) ).

thf(3261,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3031]) ).

thf(3262,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3032]) ).

thf(3263,plain,
    ! [SV536: $i,SV638: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV638 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SV638 ) @ SV536 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3033]) ).

thf(3264,plain,
    ! [SV537: $i,SV745: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ SV745 ) @ SV537 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV537 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3034]) ).

thf(3265,plain,
    ! [SV746: $i,SV539: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV539 @ SV746 ) ) )
        = $true )
      | ( ( bot_bo535777328l_bool
          = ( collec1823980261e_bool @ SV539 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3035]) ).

thf(3266,plain,
    ! [SV540: $i] :
      ( ( ( ( SV540 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV540 ) @ bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV540 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3036]) ).

thf(3267,plain,
    ! [SV541: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV541 ) @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( SV541 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV541 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3037]) ).

thf(3268,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ( ~ ( is_pname @ SV542 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV639 ) )
        = $true )
      | ( ( ( SV542 != SV639 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3038]) ).

thf(3269,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ( ~ ( is_pname @ SV543 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV640 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
          | ( SV543 = SV640 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3039]) ).

thf(3270,plain,
    ! [SV641: $i,SV544: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV641 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SV641 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3040]) ).

thf(3271,plain,
    ! [SV747: $i] :
      ( ( ! [SY3225: $i] :
            ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV747 ) @ SY3225 ) ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV747 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3041]) ).

thf(3272,plain,
    ! [SV748: $i] :
      ( ( ! [SY3226: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV748 ) @ SY3226 ) ) ) )
            | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SY3226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3042]) ).

thf(3273,plain,
    ! [SV545: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK30_X_1 @ SV545 ) ) )
        = $false )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3043]) ).

thf(3274,plain,
    ! [SV545: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV545 @ ( sK30_X_1 @ SV545 ) ) ) )
        = $false )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3043]) ).

thf(3275,plain,
    ! [SV546: $i,SV749: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV749 )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SV749 ) ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV546 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3044]) ).

thf(3276,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                          | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                    | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
              | ( SV478
               != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3045]) ).

thf(3277,plain,
    ! [SV642: $i,SV547: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV547 @ SV642 ) )
        = $false )
      | ( ( ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fconj @ ( hAPP_f434788991l_bool @ ( cOMBC_1284144636l_bool @ fequal533582459e_bool ) @ SV642 ) ) @ SV547 ) )
          = ( insert1325755072e_bool @ SV642 @ bot_bo1649642514l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3046]) ).

thf(3278,plain,
    ! [SV644: $i,SV549: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV549 @ SV644 ) )
        = $false )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ fequal1311889615e_bool @ SV644 ) ) @ SV549 ) )
          = ( insert1556680138e_bool @ SV644 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3048]) ).

thf(3279,plain,
    ! [SV204: $i,SV713: $i,SV646: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ SV713 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ ( insert1415133716_state @ SV204 @ SV713 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3050]) ).

thf(3280,plain,
    ! [SV204: $i,SV647: $i] :
      ( ( ( SV647 = SV204 )
        = $false )
      | ( ( ! [SY3196: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV647 ) @ ( insert1415133716_state @ SV204 @ SY3196 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3051]) ).

thf(3281,plain,
    ! [SV205: $i,SV714: $i,SV648: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ SV714 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ ( insert_pname @ SV205 @ SV714 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3052]) ).

thf(3282,plain,
    ! [SV205: $i,SV649: $i] :
      ( ( ( SV649 = SV205 )
        = $false )
      | ( ( ! [SY3198: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV649 ) @ ( insert_pname @ SV205 @ SY3198 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3053]) ).

thf(3283,plain,
    ! [SV750: $i,SV650: $i,SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ SV750 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3054]) ).

thf(3284,plain,
    ! [SV715: $i,SV651: $i,SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV651 @ SV715 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SV715 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3055]) ).

thf(3285,plain,
    ! [SV652: $i,SV551: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV551 @ SV652 ) )
        = $false )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ fequal1111551311_state @ SV652 ) ) @ SV551 ) )
          = ( insert1415133716_state @ SV652 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3056]) ).

thf(3286,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3058]) ).

thf(3287,plain,
    ! [SV654: $i,SV553: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV553 @ SV654 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV654 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3059]) ).

thf(3288,plain,
    ! [SV554: $i,SV655: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV655 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( insert1325755072e_bool @ SV554 @ SV655 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3060]) ).

thf(3289,plain,
    ! [SV555: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK36_X_1 @ SV555 ) ) )
        = $false )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3061]) ).

thf(3290,plain,
    ! [SV555: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV555 @ ( sK36_X_1 @ SV555 ) ) ) )
        = $false )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3061]) ).

thf(3291,plain,
    ! [SV556: $i,SV751: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV751 )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SV751 ) ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV556 )
          = bot_bo1537088220l_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3062]) ).

thf(3292,plain,
    ! [SV208: $i,SV716: $i,SV656: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ SV716 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ ( insert1325755072e_bool @ SV208 @ SV716 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3063]) ).

thf(3293,plain,
    ! [SV208: $i,SV657: $i] :
      ( ( ( SV657 = SV208 )
        = $false )
      | ( ( ! [SY3202: $i] : ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV657 ) @ ( insert1325755072e_bool @ SV208 @ SY3202 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3064]) ).

thf(3294,plain,
    ! [SV557: $i,SV658: $i] :
      ( ( ( is_fun_pname_bool @ SV658 )
        = $false )
      | ( ( ( SV658 != bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SV658 )
            = bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3065]) ).

thf(3295,plain,
    ! [SV558: $i,SV659: $i] :
      ( ( ( is_fun_pname_bool @ SV659 )
        = $false )
      | ( ( ( SV659 = bot_bo844097828e_bool )
          | ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV558 ) @ SV659 )
            = ( insert1415133716_state @ SV558 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3066]) ).

thf(3296,plain,
    ! [SV660: $i,SV559: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV660 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3067]) ).

thf(3297,plain,
    ! [SV752: $i] :
      ( ( ! [SY3227: $i] :
            ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV752 ) @ SY3227 ) ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV752 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3068]) ).

thf(3298,plain,
    ! [SV753: $i] :
      ( ( ! [SY3228: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV753 ) @ SY3228 ) ) ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SY3228 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3069]) ).

thf(3299,plain,
    ! [SV717: $i,SV661: $i,SV209: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV661 @ SV717 ) ) ) )
        = $true )
      | ( ( ( SV209 = SV661 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV717 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3070]) ).

thf(3300,plain,
    ! [SV209: $i] :
      ( ( ! [SY2920: $i] :
            ( ( SV209 != SY2920 )
            | ! [SY2921: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2920 @ SY2921 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3071]) ).

thf(3301,plain,
    ! [SV209: $i] :
      ( ( ! [SY2922: $i,SY2923: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY2923 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SY2922 @ SY2923 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3072]) ).

thf(3302,plain,
    ! [SV662: $i,SV560: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV560 @ SV662 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV662 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3073]) ).

thf(3303,plain,
    ! [SV561: $i,SV663: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV663 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( insert_pname @ SV561 @ SV663 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3074]) ).

thf(3304,plain,
    ! [SV664: $i,SV210: $i,SV718: $i] :
      ( ( ( ! [SY3223: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3223 ) @ SV718 ) )
              | ~ ( is_fun_pname_bool @ SY3223 )
              | ( SV210
               != ( image_2003357581_state @ SV664 @ SY3223 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3075]) ).

thf(3305,plain,
    ! [SV719: $i,SV665: $i,SV210: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
                    | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
              | ( SV210
               != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3076]) ).

thf(3306,plain,
    ! [SV211: $i,SV720: $i,SV666: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV666 ) @ SV720 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ ( insert1415133716_state @ SV666 @ SV211 ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ SV211 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3077]) ).

thf(3307,plain,
    ! [SV211: $i,SV721: $i,SV667: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV667 ) @ SV721 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ SV211 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ ( insert1415133716_state @ SV667 @ SV211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3078]) ).

thf(3308,plain,
    ! [SV668: $i,SV562: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV562 @ SV668 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV668 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3079]) ).

thf(3309,plain,
    ! [SV563: $i,SV669: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV669 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( insert1556680138e_bool @ SV563 @ SV669 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3080]) ).

thf(3310,plain,
    ! [SV564: $i] :
      ( ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) ) )
        = $true )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3081]) ).

thf(3311,plain,
    ! [SV565: $i] :
      ( ( ( ( SV565 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( ! [SY3152: $i] :
              ( ~ ( is_fun_pname_bool @ SY3152 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3152 ) @ SV565 ) ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3082]) ).

thf(3312,plain,
    ! [SV566: $i] :
      ( ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
              | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3083]) ).

thf(3313,plain,
    ! [SV567: $i] :
      ( ( ( ! [SY3153: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3153 ) @ SV567 ) )
              | ~ ( is_fun_pname_bool @ SY3153 ) ) )
        = $true )
      | ( ( ( SV567 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3084]) ).

thf(3314,plain,
    ! [SV212: $i,SV722: $i,SV670: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ SV722 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ ( insert1556680138e_bool @ SV212 @ SV722 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3085]) ).

thf(3315,plain,
    ! [SV212: $i,SV671: $i] :
      ( ( ( SV671 = SV212 )
        = $false )
      | ( ( ! [SY3210: $i] : ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV671 ) @ ( insert1556680138e_bool @ SV212 @ SY3210 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3086]) ).

thf(3316,plain,
    ! [SV568: $i,SV672: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV672 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SV672 ) @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3087]) ).

thf(3317,plain,
    ! [SV569: $i,SV754: $i] :
      ( ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ ( cOMBS_811933079l_bool @ ( cOMBB_689948150l_bool @ fconj @ SV754 ) @ SV569 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f389811538l_bool @ finite786885583l_bool @ ( collec1613912337l_bool @ SV569 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3088]) ).

thf(3318,plain,
    ! [SV673: $i,SV570: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV570 ) @ SV673 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV673 @ SV570 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3089]) ).

thf(3319,plain,
    ! [SV571: $i,SV674: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV674 @ SV571 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV571 ) @ SV674 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3090]) ).

thf(3320,plain,
    ! [SV675: $i,SV572: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SV675 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV675 ) @ SV572 ) ) )
        = $true )
      | ( ( SV572 = SV675 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3091]) ).

thf(3321,plain,
    ! [SV755: $i] :
      ( ( ! [SY3229: $i] :
            ( ( SV755 != SY3229 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV755 ) @ SY3229 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3092]) ).

thf(3322,plain,
    ! [SV756: $i] :
      ( ( ! [SY3230: $i] :
            ( ( SV756 != SY3230 )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SY3230 ) @ SV756 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3093]) ).

thf(3323,plain,
    ! [SV723: $i,SV676: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV676 ) @ SV723 ) ) )
        = $true )
      | ( ( ( SV213 = SV723 )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ SV676 @ SV723 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3094]) ).

thf(3324,plain,
    ! [SV213: $i] :
      ( ( ! [SY2939: $i,SY2940: $i] :
            ( ( SV213 != SY2940 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2939 ) @ SY2940 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3095]) ).

thf(3325,plain,
    ! [SV213: $i] :
      ( ( ! [SY2941: $i,SY2942: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SY2941 @ SY2942 ) )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SY2941 ) @ SY2942 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3096]) ).

thf(3326,plain,
    ! [SV677: $i,SV573: $i] :
      ( ( ( SV573 = SV677 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV573 ) @ SV677 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3097]) ).

thf(3327,plain,
    ! [SV678: $i,SV574: $i] :
      ( ( ( SV574 = SV678 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV678 ) @ SV574 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3098]) ).

thf(3328,plain,
    ! [SV575: $i,SV679: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV679 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SV679 ) @ SV575 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3329,plain,
    ! [SV576: $i,SV757: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ SV757 ) @ SV576 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV576 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3100]) ).

thf(3330,plain,
    ! [SV680: $i,SV577: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV680 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SV680 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3101]) ).

thf(3331,plain,
    ! [SV758: $i] :
      ( ( ! [SY3231: $i] :
            ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV758 ) @ SY3231 ) ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV758 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3102]) ).

thf(3332,plain,
    ! [SV759: $i] :
      ( ( ! [SY3232: $i] :
            ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV759 ) @ SY3232 ) ) ) )
            | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SY3232 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3103]) ).

thf(3333,plain,
    ! [SV681: $i,SV724: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 )
          | ~ ( is_pname @ SV724 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
          | ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3104]) ).

thf(3334,plain,
    ! [SV214: $i] :
      ( ( ! [SY2945: $i,SY2946: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY2946 )
            | ( SV214 != SY2946 )
            | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2945 ) @ SY2946 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3105]) ).

thf(3335,plain,
    ! [SV214: $i] :
      ( ( ! [SY2947: $i,SY2948: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY2948 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SY2947 @ SY2948 ) )
            | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SY2947 ) @ SY2948 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3106]) ).

thf(3336,plain,
    ! [SV578: $i,SV682: $i] :
      ( ( ( SV682 = bot_bo535777328l_bool )
        = $false )
      | ( ( ( image_18964633_state @ ( cOMBK_701929478e_bool @ SV578 ) @ SV682 )
          = bot_bo620288102e_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3107]) ).

thf(3337,plain,
    ! [SV760: $i,SV581: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV581 @ SV760 ) ) )
        = $true )
      | ( ( ( collec488126193l_bool @ SV581 )
          = bot_bo1761158942l_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3109]) ).

thf(3338,plain,
    ! [SV684: $i,SV582: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV582 @ SV684 ) )
        = $false )
      | ( ( ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fconj @ ( hAPP_H1049623551e_bool @ ( cOMBC_654211620e_bool @ fequal1111551311_state ) @ SV684 ) ) @ SV582 ) )
          = ( insert1415133716_state @ SV684 @ bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3110]) ).

thf(3339,plain,
    ! [SV686: $i,SV725: $i,SV215: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV725 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SV725 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3112]) ).

thf(3340,plain,
    ! [SV215: $i] :
      ( ( ! [SY2951: $i,SY2952: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2951 ) ) @ SY2952 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY2952 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3113]) ).

thf(3341,plain,
    ! [SV215: $i] :
      ( ( ! [SY2953: $i,SY2954: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SY2953 ) ) @ SY2954 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY2953 ) @ SY2954 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3114]) ).

thf(3342,plain,
    ! [SV761: $i,SV585: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV585 @ SV761 ) ) )
        = $true )
      | ( ( ( collec307967673_state @ SV585 )
          = bot_bo620288102e_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3115]) ).

thf(3343,plain,
    ! [SV762: $i,SV587: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV587 @ SV762 ) ) )
        = $true )
      | ( ( bot_bo1761158942l_bool
          = ( collec488126193l_bool @ SV587 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3116]) ).

thf(3344,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV588 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV687 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
          | ( SV588 = SV687 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3117]) ).

thf(3345,plain,
    ! [SV763: $i] :
      ( ( ! [SY3233: $i] :
            ( ~ ( is_fun_pname_bool @ SV763 )
            | ~ ( is_fun_pname_bool @ SY3233 )
            | ( SV763 != SY3233 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SY3233 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3118]) ).

thf(3346,plain,
    ! [SV764: $i] :
      ( ( ! [SY3234: $i] :
            ( ~ ( is_fun_pname_bool @ SV764 )
            | ~ ( is_fun_pname_bool @ SY3234 )
            | ( SV764 != SY3234 )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SY3234 ) @ SV764 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3119]) ).

thf(3347,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
          | ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3120]) ).

thf(3348,plain,
    ! [SV688: $i,SV589: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV589 @ SV688 ) )
        = $false )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ ( cOMBC_1149511130e_bool @ fequal_pname ) @ SV688 ) ) @ SV589 ) )
          = ( insert_pname @ SV688 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3121]) ).

thf(3349,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ~ ( is_pname @ SV591 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV690 ) )
        = $true )
      | ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
           != ( hAPP_pname_com @ body_1 @ SV690 ) )
          | ( SV591 = SV690 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3123]) ).

thf(3350,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ~ ( is_pname @ SV592 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV691 ) )
        = $true )
      | ( ( ( SV592 != SV691 )
          | ( ( hAPP_pname_com @ body_1 @ SV592 )
            = ( hAPP_pname_com @ body_1 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3124]) ).

thf(3351,plain,
    ! [SV594: $i,SV765: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV765 ) @ SV594 ) ) )
        = $true )
      | ( ( SV594 = bot_bo620288102e_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3125]) ).

thf(3352,plain,
    ! [SV692: $i,SV595: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV595 @ SV692 ) )
        = $false )
      | ( ( ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fconj @ ( hAPP_f72706945l_bool @ ( cOMBC_449066458l_bool @ fequal1311889615e_bool ) @ SV692 ) ) @ SV595 ) )
          = ( insert1556680138e_bool @ SV692 @ bot_bo535777328l_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3126]) ).

thf(3353,plain,
    ! [SV597: $i] :
      ( ( ( ~ ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) ) )
        = $true )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3128]) ).

thf(3354,plain,
    ! [SV598: $i] :
      ( ( ( ( SV598 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( ! [SY3179: $i] :
              ( ~ ( is_pname @ SY3179 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3179 ) @ SV598 ) ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3129]) ).

thf(3355,plain,
    ! [SV766: $i,SV600: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV600 @ SV766 ) ) )
        = $true )
      | ( ( ( collec1823980261e_bool @ SV600 )
          = bot_bo535777328l_bool )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3130]) ).

thf(3356,plain,
    ! [SV694: $i,SV601: $i] :
      ( ( ( SV601 = SV694 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV601 ) @ ( insert1415133716_state @ SV694 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3131]) ).

thf(3357,plain,
    ! [SV695: $i,SV602: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV602 ) @ ( insert1415133716_state @ SV695 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( SV602 = SV695 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3132]) ).

thf(3358,plain,
    ! [SV217: $i,SV726: $i,SV696: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV726 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
          | ( ( insert1415133716_state @ SV696 @ SV726 )
           != ( insert1415133716_state @ SV696 @ SV217 ) )
          | ( SV726 = SV217 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3133]) ).

thf(3359,plain,
    ! [SV217: $i,SV727: $i,SV697: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV727 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
          | ( SV727 != SV217 )
          | ( ( insert1415133716_state @ SV697 @ SV727 )
            = ( insert1415133716_state @ SV697 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3134]) ).

thf(3360,plain,
    ! [SV698: $i,SV603: $i] :
      ( ( ( SV603 = SV698 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV603 ) @ SV698 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3135]) ).

thf(3361,plain,
    ! [SV699: $i,SV604: $i] :
      ( ( ( SV604 = SV699 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV699 ) @ SV604 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3136]) ).

thf(3362,plain,
    ! [SV606: $i,SV728: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV728 ) @ SV606 ) )
        = $false )
      | ( ( ( SV606 != bot_bo620288102e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3137]) ).

thf(3363,plain,
    ! [SV767: $i,SV608: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV608 @ SV767 ) ) )
        = $true )
      | ( ( bot_bo620288102e_bool
          = ( collec307967673_state @ SV608 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3138]) ).

thf(3364,plain,
    ! [SV218: $i,SV729: $i,SV700: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV700 ) @ SV729 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ ( insert_pname @ SV700 @ SV218 ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3139]) ).

thf(3365,plain,
    ! [SV218: $i,SV730: $i,SV701: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV701 ) @ SV730 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ SV218 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ ( insert_pname @ SV701 @ SV218 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3140]) ).

thf(3366,plain,
    ! [SV702: $i,SV731: $i,SV219: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV219 )
          | ~ ( is_fun_pname_bool @ SV731 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
          | ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3141]) ).

thf(3367,plain,
    ! [SV703: $i,SV732: $i,SV219: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV219 )
          | ~ ( is_fun_pname_bool @ SV732 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
          | ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3142]) ).

thf(3368,plain,
    ! [SV704: $i,SV220: $i,SV733: $i] :
      ( ( ( ! [SY3224: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3224 ) @ SV733 ) )
              | ~ ( is_pname @ SY3224 )
              | ( SV220
               != ( hAPP_p1422361149_state @ SV704 @ SY3224 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3143]) ).

thf(3369,plain,
    ! [SV734: $i,SV705: $i,SV220: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
                    | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
              | ( SV220
               != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3144]) ).

thf(3370,plain,
    ! [SV609: $i,SV706: $i] :
      ( ( ( SV706 = bot_bo620288102e_bool )
        = $false )
      | ( ( ( image_1828608335e_bool @ ( cOMBK_1039769424_state @ SV609 ) @ SV706 )
          = bot_bo535777328l_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3145]) ).

thf(3371,plain,
    ! [SV708: $i,SV611: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV611 @ SV708 ) )
        = $false )
      | ( ( ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fconj @ ( hAPP_p61793385e_bool @ fequal_pname @ SV708 ) ) @ SV611 ) )
          = ( insert_pname @ SV708 @ bot_bo844097828e_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3147]) ).

thf(3372,plain,
    ! [SV613: $i] :
      ( ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
              | ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3149]) ).

thf(3373,plain,
    ! [SV614: $i] :
      ( ( ( ! [SY3191: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3191 ) @ SV614 ) )
              | ~ ( is_pname @ SY3191 ) ) )
        = $true )
      | ( ( ( SV614 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3150]) ).

thf(3374,plain,
    ! [SV710: $i,SV615: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV710 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SV710 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3151]) ).

thf(3375,plain,
    ! [SV768: $i] :
      ( ( ! [SY3235: $i] :
            ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV768 ) @ SY3235 ) ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV768 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3152]) ).

thf(3376,plain,
    ! [SV769: $i] :
      ( ( ! [SY3236: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV769 ) @ SY3236 ) ) ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SY3236 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3153]) ).

thf(3377,plain,
    ! [SV221: $i,SV393: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK2_X_1 @ SV393 @ SV221 ) ) @ SV221 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV393 ) @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3155]) ).

thf(3378,plain,
    ! [SV735: $i,SV288: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SV735 ) ) ) )
        = $true )
      | ( ( ( SV85 = SV288 )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SV735 ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( is_fun_pname_bool @ SV288 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3182]) ).

thf(3379,plain,
    ! [SV736: $i,SV290: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SV736 ) ) ) )
        = $true )
      | ( ( ( SV87 = SV290 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SV736 ) ) )
        = $true )
      | ( ( is_pname @ SV87 )
        = $false )
      | ( ( is_pname @ SV290 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3183]) ).

thf(3380,plain,
    ! [SV292: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
          | ( SV89 = SV292 ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3184]) ).

thf(3381,plain,
    ! [SV294: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
          | ( SV91 = SV294 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( is_fun_pname_bool @ SV294 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3185]) ).

thf(3382,plain,
    ! [SV434: $i,SV299: $i,SV96: $i,SV484: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV484 ) @ SV96 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV299 ) @ ( image_2131964411e_bool @ SV434 @ SV96 ) ) )
        = $true )
      | ( ( SV299
          = ( hAPP_H356885323e_bool @ SV434 @ SV484 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3190]) ).

thf(3383,plain,
    ! [SV435: $i,SV300: $i,SV97: $i,SV485: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV485 ) @ SV97 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV300 ) @ ( image_1828608335e_bool @ SV435 @ SV97 ) ) )
        = $true )
      | ( ( SV300
          = ( hAPP_H1049623551e_bool @ SV435 @ SV485 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3191]) ).

thf(3384,plain,
    ! [SV436: $i,SV301: $i,SV98: $i,SV486: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV486 ) @ SV98 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV301 ) @ ( image_47868345e_bool @ SV436 @ SV98 ) ) )
        = $true )
      | ( ( SV301
          = ( hAPP_p61793385e_bool @ SV436 @ SV486 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3192]) ).

thf(3385,plain,
    ! [SV437: $i,SV302: $i,SV99: $i,SV487: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV487 ) @ SV99 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV302 ) @ ( image_70449425e_bool @ SV437 @ SV99 ) ) )
        = $true )
      | ( ( SV302
          = ( hAPP_p442853985e_bool @ SV437 @ SV487 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3193]) ).

thf(3386,plain,
    ! [SV438: $i,SV303: $i,SV100: $i,SV488: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV488 ) @ SV100 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV303 ) @ ( image_516545147_state @ SV438 @ SV100 ) ) )
        = $true )
      | ( ( SV303
          = ( hAPP_f888949707_state @ SV438 @ SV488 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3194]) ).

thf(3387,plain,
    ! [SV439: $i,SV304: $i,SV101: $i,SV489: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV489 ) @ SV101 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV304 ) @ ( image_18964633_state @ SV439 @ SV101 ) ) )
        = $true )
      | ( ( SV304
          = ( hAPP_f1387463497_state @ SV439 @ SV489 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3195]) ).

thf(3388,plain,
    ! [SV440: $i,SV305: $i,SV102: $i,SV490: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV490 ) @ SV102 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV305 ) @ ( image_54689091_pname @ SV440 @ SV102 ) ) )
        = $true )
      | ( ( SV305
          = ( hAPP_H1621176307_pname @ SV440 @ SV490 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3196]) ).

thf(3389,plain,
    ! [SV441: $i,SV306: $i,SV103: $i,SV491: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV491 ) @ SV103 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV306 ) @ ( image_pname_pname @ SV441 @ SV103 ) ) )
        = $true )
      | ( ( SV306
          = ( hAPP_pname_pname @ SV441 @ SV491 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3197]) ).

thf(3390,plain,
    ! [SV442: $i,SV307: $i,SV104: $i,SV492: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV492 ) @ SV104 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV307 ) @ ( image_1283814551_pname @ SV442 @ SV104 ) ) )
        = $true )
      | ( ( SV307
          = ( hAPP_f1297739591_pname @ SV442 @ SV492 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3198]) ).

thf(3391,plain,
    ! [SV443: $i,SV308: $i,SV105: $i,SV493: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV493 ) @ SV105 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV308 ) @ ( image_187965177_pname @ SV443 @ SV105 ) ) )
        = $true )
      | ( ( SV308
          = ( hAPP_f560369737_pname @ SV443 @ SV493 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3199]) ).

thf(3392,plain,
    ! [SV444: $i,SV309: $i,SV106: $i,SV494: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV494 ) @ SV106 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV309 ) @ ( image_2003357581_state @ SV444 @ SV106 ) ) )
        = $true )
      | ( ( SV309
          = ( hAPP_p1422361149_state @ SV444 @ SV494 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3200]) ).

thf(3393,plain,
    ! [SV495: $i,SV456: $i,SV336: $i,SV139: $i] :
      ( ( ( SV139
          = ( hAPP_p1422361149_state @ SV336 @ SV456 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV139 ) @ ( image_2003357581_state @ SV336 @ SV495 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV456 ) @ SV495 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3209]) ).

thf(3394,plain,
    ! [SV340: $i,SV143: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV143 ) @ ( insert_pname @ SV340 @ bot_bo844097828e_bool ) ) )
        = $false )
      | ( ( SV143 = SV340 )
        = $true )
      | ( ( is_pname @ SV143 )
        = $false )
      | ( ( is_pname @ SV340 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3210]) ).

thf(3395,plain,
    ! [SV370: $i,SV180: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ ( hAPP_p61793385e_bool @ fequal_pname @ SV180 ) @ SV370 ) )
        = $false )
      | ( ( SV180 = SV370 )
        = $true )
      | ( ( is_pname @ SV180 )
        = $false )
      | ( ( is_pname @ SV370 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3211]) ).

thf(3396,plain,
    ! [SV372: $i,SV182: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ fequal533582459e_bool @ SV182 ) @ SV372 ) )
        = $false )
      | ( ( SV182 = SV372 )
        = $true )
      | ( ( is_fun_pname_bool @ SV182 )
        = $false )
      | ( ( is_fun_pname_bool @ SV372 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3212]) ).

thf(3397,plain,
    ! [SV499: $i,SV617: $i] :
      ( ( ( ( SV617 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SV617 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV617 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3213]) ).

thf(3398,plain,
    ! [SV500: $i,SV618: $i] :
      ( ( ( SV618 = bot_bo1649642514l_bool )
        = $true )
      | ( ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV500 ) @ SV618 )
          = ( insert1415133716_state @ SV500 @ bot_bo620288102e_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV618 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3214]) ).

thf(3399,plain,
    ! [SV619: $i,SV711: $i,SV196: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV711 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SV711 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SV711 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3215]) ).

thf(3400,plain,
    ! [SV770: $i,SV196: $i] :
      ( ( ! [SY3237: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV770 ) ) @ SY3237 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SY3237 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3216]) ).

thf(3401,plain,
    ! [SV771: $i,SV196: $i] :
      ( ( ! [SY3238: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV771 ) ) @ SY3238 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV771 ) @ SY3238 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3217]) ).

thf(3402,plain,
    ! [SV197: $i,SV385: $i,SV474: $i] :
      ( ( ( is_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3221]) ).

thf(3403,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( ~ ( ( SV197
               != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3222]) ).

thf(3404,plain,
    ! [SV626: $i,SV198: $i] :
      ( ( ( is_pname @ SV198 )
        = $false )
      | ( ( ~ ( is_pname @ SV626 ) )
        = $true )
      | ( ( ! [SY3194: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SY3194 ) ) )
              | ( SV198 = SV626 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3194 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3227]) ).

thf(3405,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ~ ( is_pname @ SV198 )
        | ~ ( is_pname @ SV772 )
        | ( SV198 != SV772 )
        | ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3228]) ).

thf(3406,plain,
    ! [SV773: $i,SV198: $i] :
      ( ( ~ ( is_pname @ SV198 )
        | ~ ( is_pname @ SV773 )
        | ! [SY3240: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3240 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SY3240 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3229]) ).

thf(3407,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3230]) ).

thf(3408,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3230]) ).

thf(3409,plain,
    ! [SV511: $i] :
      ( ( ( is_pname @ ( sK31_X_1 @ SV511 ) )
        = $true )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3231]) ).

thf(3410,plain,
    ! [SV511: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV511 @ ( sK31_X_1 @ SV511 ) ) )
        = $true )
      | ( ( ( collect_pname @ SV511 )
          = bot_bo844097828e_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3232]) ).

thf(3411,plain,
    ! [SV512: $i,SV739: $i] :
      ( ( ( ~ ( is_pname @ SV739 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SV739 ) ) )
        = $true )
      | ( ( ( collect_pname @ SV512 )
          = bot_bo844097828e_bool )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3233]) ).

thf(3412,plain,
    ! [SV712: $i,SV516: $i] :
      ( ( ( SV516 = bot_bo535777328l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV712 ) @ SV516 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3235]) ).

thf(3413,plain,
    ! [SV629: $i,SV517: $i] :
      ( ( ( ( ( image_2003357581_state @ SV517 @ SV629 )
           != bot_bo620288102e_bool ) )
        = $true )
      | ( ( SV629 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3236]) ).

thf(3414,plain,
    ! [SV518: $i,SV630: $i] :
      ( ( ( ( SV630 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( ( image_2003357581_state @ SV518 @ SV630 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV630 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3237]) ).

thf(3415,plain,
    ! [SV521: $i] :
      ( ( ( is_pname @ ( sK25_X_1 @ SV521 ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3239]) ).

thf(3416,plain,
    ! [SV521: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV521 @ ( sK25_X_1 @ SV521 ) ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV521 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3240]) ).

thf(3417,plain,
    ! [SV522: $i,SV740: $i] :
      ( ( ( ~ ( is_pname @ SV740 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SV740 ) ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV522 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3241]) ).

thf(3418,plain,
    ! [SV633: $i,SV523: $i] :
      ( ( ( ( bot_bo620288102e_bool
           != ( image_2003357581_state @ SV523 @ SV633 ) ) )
        = $true )
      | ( ( SV633 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV633 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3242]) ).

thf(3419,plain,
    ! [SV524: $i,SV634: $i] :
      ( ( ( ( SV634 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( bot_bo620288102e_bool
          = ( image_2003357581_state @ SV524 @ SV634 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV634 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3243]) ).

thf(3420,plain,
    ! [SV525: $i] :
      ( ( ( is_fun_pname_bool @ ( sK27_X_1 @ SV525 ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3244]) ).

thf(3421,plain,
    ! [SV525: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV525 @ ( sK27_X_1 @ SV525 ) ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV525 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3245]) ).

thf(3422,plain,
    ! [SV526: $i,SV741: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV741 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SV741 ) ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV526 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3246]) ).

thf(3423,plain,
    ! [SV528: $i,SV742: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV742 ) @ SV528 ) )
        = $false )
      | ( ( SV528 = bot_bo535777328l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3247]) ).

thf(3424,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3250]) ).

thf(3425,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3251]) ).

thf(3426,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ( ~ ! [SY3070: $i,SY3071: $i] :
                  ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                   != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
                  | ( SV200 = SY3070 )
                  | ( SV200 = SY3071 ) )
            | ~ ! [SY3072: $i] :
                  ( ! [SY3073: $i] :
                      ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                     != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
                  | ( SV200 = SY3072 )
                  | ( SV387 = SY3072 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3254]) ).

thf(3427,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ( ~ ! [SY3074: $i,SY3075: $i] :
                  ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                   != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
                  | ( SV387 = SY3075 )
                  | ( SV200 = SY3075 ) )
            | ~ ! [SY3076: $i,SY3077: $i] :
                  ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                   != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
                  | ( SV387 = SY3077 )
                  | ( SV387 = SY3076 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3255]) ).

thf(3428,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3078: $i,SY3079: $i] :
            ( ( SV200 != SY3078 )
            | ( SV387 != SY3079 )
            | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
              = ( insert1415133716_state @ SY3078 @ ( insert1415133716_state @ SY3079 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3256]) ).

thf(3429,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3080: $i,SY3081: $i] :
            ( ( SV200 != SY3081 )
            | ( SV387 != SY3080 )
            | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
              = ( insert1415133716_state @ SY3080 @ ( insert1415133716_state @ SY3081 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3257]) ).

thf(3430,plain,
    ! [SV534: $i] :
      ( ( ( is_fun_pname_bool @ ( sK33_X_1 @ SV534 ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3258]) ).

thf(3431,plain,
    ! [SV534: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV534 @ ( sK33_X_1 @ SV534 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV534 )
          = bot_bo1649642514l_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3259]) ).

thf(3432,plain,
    ! [SV535: $i,SV744: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV744 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SV744 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV535 )
          = bot_bo1649642514l_bool )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3260]) ).

thf(3433,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3261]) ).

thf(3434,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3262]) ).

thf(3435,plain,
    ! [SV746: $i,SV539: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV539 @ SV746 ) )
        = $false )
      | ( ( bot_bo535777328l_bool
          = ( collec1823980261e_bool @ SV539 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3265]) ).

thf(3436,plain,
    ! [SV540: $i] :
      ( ( ( SV540 = bot_bo844097828e_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV540 ) @ bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV540 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3266]) ).

thf(3437,plain,
    ! [SV541: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV541 ) @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( SV541 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV541 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3267]) ).

thf(3438,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ( is_pname @ SV542 )
        = $false )
      | ( ( ~ ( is_pname @ SV639 ) )
        = $true )
      | ( ( ( SV542 != SV639 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3268]) ).

thf(3439,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ( is_pname @ SV543 )
        = $false )
      | ( ( ~ ( is_pname @ SV640 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
          | ( SV543 = SV640 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3269]) ).

thf(3440,plain,
    ! [SV641: $i,SV544: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV641 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SV641 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3270]) ).

thf(3441,plain,
    ! [SV747: $i] :
      ( ( ( ! [SY3225: $i] :
              ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV747 ) @ SY3225 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV747 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3271]) ).

thf(3442,plain,
    ! [SV774: $i,SV748: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV748 ) @ SV774 ) ) ) )
        | ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV774 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3272]) ).

thf(3443,plain,
    ! [SV545: $i] :
      ( ( ( is_fun1661590463l_bool @ ( sK30_X_1 @ SV545 ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3273]) ).

thf(3444,plain,
    ! [SV545: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV545 @ ( sK30_X_1 @ SV545 ) ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV545 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3274]) ).

thf(3445,plain,
    ! [SV546: $i,SV749: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV749 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SV749 ) ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV546 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3275]) ).

thf(3446,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                      | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
          | ( SV478
           != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3276]) ).

thf(3447,plain,
    ! [SV204: $i,SV713: $i,SV646: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ SV713 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV646 ) @ ( insert1415133716_state @ SV204 @ SV713 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3279]) ).

thf(3448,plain,
    ! [SV775: $i,SV204: $i,SV647: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV647 ) @ ( insert1415133716_state @ SV204 @ SV775 ) ) )
        = $true )
      | ( ( SV647 = SV204 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3280]) ).

thf(3449,plain,
    ! [SV205: $i,SV714: $i,SV648: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ SV714 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV648 ) @ ( insert_pname @ SV205 @ SV714 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3281]) ).

thf(3450,plain,
    ! [SV776: $i,SV205: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV649 ) @ ( insert_pname @ SV205 @ SV776 ) ) )
        = $true )
      | ( ( SV649 = SV205 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3282]) ).

thf(3451,plain,
    ! [SV750: $i,SV650: $i,SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ SV750 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV650 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3283]) ).

thf(3452,plain,
    ! [SV715: $i,SV651: $i,SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ ( insert1415133716_state @ SV651 @ SV715 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV206 ) @ SV715 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3284]) ).

thf(3453,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3286]) ).

thf(3454,plain,
    ! [SV555: $i] :
      ( ( ( is_fun1661590463l_bool @ ( sK36_X_1 @ SV555 ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3289]) ).

thf(3455,plain,
    ! [SV555: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV555 @ ( sK36_X_1 @ SV555 ) ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV555 )
          = bot_bo1537088220l_bool )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3290]) ).

thf(3456,plain,
    ! [SV556: $i,SV751: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ SV751 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SV751 ) ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV556 )
          = bot_bo1537088220l_bool )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3291]) ).

thf(3457,plain,
    ! [SV208: $i,SV716: $i,SV656: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ SV716 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV656 ) @ ( insert1325755072e_bool @ SV208 @ SV716 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3292]) ).

thf(3458,plain,
    ! [SV777: $i,SV208: $i,SV657: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV657 ) @ ( insert1325755072e_bool @ SV208 @ SV777 ) ) )
        = $true )
      | ( ( SV657 = SV208 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3293]) ).

thf(3459,plain,
    ! [SV557: $i,SV658: $i] :
      ( ( ( ( SV658 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SV658 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV658 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3294]) ).

thf(3460,plain,
    ! [SV558: $i,SV659: $i] :
      ( ( ( SV659 = bot_bo844097828e_bool )
        = $true )
      | ( ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV558 ) @ SV659 )
          = ( insert1415133716_state @ SV558 @ bot_bo620288102e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV659 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3295]) ).

thf(3461,plain,
    ! [SV660: $i,SV559: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV660 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3296]) ).

thf(3462,plain,
    ! [SV752: $i] :
      ( ( ( ! [SY3227: $i] :
              ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV752 ) @ SY3227 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV752 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3297]) ).

thf(3463,plain,
    ! [SV778: $i,SV753: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV753 ) @ SV778 ) ) ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV778 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3298]) ).

thf(3464,plain,
    ! [SV717: $i,SV661: $i,SV209: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV661 @ SV717 ) ) )
        = $false )
      | ( ( ( SV209 = SV661 )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV717 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3299]) ).

thf(3465,plain,
    ! [SV779: $i,SV209: $i] :
      ( ( ( SV209 != SV779 )
        | ! [SY3241: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV779 @ SY3241 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3300]) ).

thf(3466,plain,
    ! [SV780: $i,SV209: $i] :
      ( ( ! [SY3242: $i] :
            ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SY3242 ) )
            | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV780 @ SY3242 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3301]) ).

thf(3467,plain,
    ! [SV664: $i,SV210: $i,SV718: $i,SV781: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) )
          | ~ ( is_fun_pname_bool @ SV781 )
          | ( SV210
           != ( image_2003357581_state @ SV664 @ SV781 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3304]) ).

thf(3468,plain,
    ! [SV719: $i,SV665: $i,SV210: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
                    | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
              | ( SV210
               != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3305]) ).

thf(3469,plain,
    ! [SV211: $i,SV666: $i,SV720: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ ( insert1415133716_state @ SV666 @ SV211 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ SV211 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV666 ) @ SV720 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3306]) ).

thf(3470,plain,
    ! [SV667: $i,SV211: $i,SV721: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ SV211 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ ( insert1415133716_state @ SV667 @ SV211 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV667 ) @ SV721 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3307]) ).

thf(3471,plain,
    ! [SV564: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) )
        = $false )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3310]) ).

thf(3472,plain,
    ! [SV565: $i] :
      ( ( ( SV565 = bot_bo1649642514l_bool )
        = $false )
      | ( ( ! [SY3152: $i] :
              ( ~ ( is_fun_pname_bool @ SY3152 )
              | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SY3152 ) @ SV565 ) ) ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3311]) ).

thf(3473,plain,
    ! [SV566: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
          | ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) )
        = $false )
      | ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3312]) ).

thf(3474,plain,
    ! [SV567: $i,SV782: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV782 ) @ SV567 ) )
          | ~ ( is_fun_pname_bool @ SV782 ) )
        = $true )
      | ( ( ( SV567 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3313]) ).

thf(3475,plain,
    ! [SV212: $i,SV722: $i,SV670: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ SV722 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV670 ) @ ( insert1556680138e_bool @ SV212 @ SV722 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3314]) ).

thf(3476,plain,
    ! [SV783: $i,SV212: $i,SV671: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ SV671 ) @ ( insert1556680138e_bool @ SV212 @ SV783 ) ) )
        = $true )
      | ( ( SV671 = SV212 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3315]) ).

thf(3477,plain,
    ! [SV675: $i,SV572: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SV675 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV675 ) @ SV572 ) ) )
        = $true )
      | ( ( SV572 = SV675 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3320]) ).

thf(3478,plain,
    ! [SV784: $i,SV755: $i] :
      ( ( ( SV755 != SV784 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV755 ) @ SV784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3321]) ).

thf(3479,plain,
    ! [SV785: $i,SV756: $i] :
      ( ( ( SV756 != SV785 )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV785 ) @ SV756 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3322]) ).

thf(3480,plain,
    ! [SV723: $i,SV676: $i,SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV676 ) @ SV723 ) )
        = $false )
      | ( ( ( SV213 = SV723 )
          | ( hBOOL @ ( hAPP_H78829294e_bool @ SV676 @ SV723 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3323]) ).

thf(3481,plain,
    ! [SV786: $i,SV213: $i] :
      ( ( ! [SY3243: $i] :
            ( ( SV213 != SY3243 )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV786 ) @ SY3243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3324]) ).

thf(3482,plain,
    ! [SV213: $i,SV787: $i] :
      ( ( ! [SY3244: $i] :
            ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV787 @ SY3244 ) )
            | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV787 ) @ SY3244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3325]) ).

thf(3483,plain,
    ! [SV680: $i,SV577: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV680 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SV680 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3330]) ).

thf(3484,plain,
    ! [SV758: $i] :
      ( ( ( ! [SY3231: $i] :
              ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV758 ) @ SY3231 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV758 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3331]) ).

thf(3485,plain,
    ! [SV788: $i,SV759: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV759 ) @ SV788 ) ) ) )
        | ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV788 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3332]) ).

thf(3486,plain,
    ! [SV681: $i,SV724: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV724 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
          | ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3333]) ).

thf(3487,plain,
    ! [SV789: $i,SV214: $i] :
      ( ( ! [SY3245: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY3245 )
            | ( SV214 != SY3245 )
            | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SY3245 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3334]) ).

thf(3488,plain,
    ! [SV790: $i,SV214: $i] :
      ( ( ! [SY3246: $i] :
            ( ~ ( is_pname @ SV214 )
            | ~ ( is_pname @ SY3246 )
            | ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SY3246 ) )
            | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SY3246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3335]) ).

thf(3489,plain,
    ! [SV760: $i,SV581: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV581 @ SV760 ) )
        = $false )
      | ( ( ( collec488126193l_bool @ SV581 )
          = bot_bo1761158942l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3337]) ).

thf(3490,plain,
    ! [SV686: $i,SV725: $i,SV215: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV725 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SV725 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3339]) ).

thf(3491,plain,
    ! [SV791: $i,SV215: $i] :
      ( ( ! [SY3247: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV791 ) ) @ SY3247 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SY3247 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3340]) ).

thf(3492,plain,
    ! [SV792: $i,SV215: $i] :
      ( ( ! [SY3248: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV792 ) ) @ SY3248 ) )
            | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV792 ) @ SY3248 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3341]) ).

thf(3493,plain,
    ! [SV761: $i,SV585: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV585 @ SV761 ) )
        = $false )
      | ( ( ( collec307967673_state @ SV585 )
          = bot_bo620288102e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3342]) ).

thf(3494,plain,
    ! [SV762: $i,SV587: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV587 @ SV762 ) )
        = $false )
      | ( ( bot_bo1761158942l_bool
          = ( collec488126193l_bool @ SV587 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3343]) ).

thf(3495,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV687 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
          | ( SV588 = SV687 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3344]) ).

thf(3496,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV763 )
        | ~ ( is_fun_pname_bool @ SV793 )
        | ( SV763 != SV793 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3345]) ).

thf(3497,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ~ ( is_fun_pname_bool @ SV764 )
        | ~ ( is_fun_pname_bool @ SV794 )
        | ( SV764 != SV794 )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3346]) ).

thf(3498,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3347]) ).

thf(3499,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( is_pname @ SV591 )
        = $false )
      | ( ( ~ ( is_pname @ SV690 ) )
        = $true )
      | ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
           != ( hAPP_pname_com @ body_1 @ SV690 ) )
          | ( SV591 = SV690 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3349]) ).

thf(3500,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( is_pname @ SV592 )
        = $false )
      | ( ( ~ ( is_pname @ SV691 ) )
        = $true )
      | ( ( ( SV592 != SV691 )
          | ( ( hAPP_pname_com @ body_1 @ SV592 )
            = ( hAPP_pname_com @ body_1 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3350]) ).

thf(3501,plain,
    ! [SV594: $i,SV765: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV765 ) @ SV594 ) )
        = $false )
      | ( ( SV594 = bot_bo620288102e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3351]) ).

thf(3502,plain,
    ! [SV597: $i] :
      ( ( ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) )
        = $false )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3353]) ).

thf(3503,plain,
    ! [SV598: $i] :
      ( ( ( SV598 = bot_bo844097828e_bool )
        = $false )
      | ( ( ! [SY3179: $i] :
              ( ~ ( is_pname @ SY3179 )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SY3179 ) @ SV598 ) ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3354]) ).

thf(3504,plain,
    ! [SV766: $i,SV600: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV600 @ SV766 ) )
        = $false )
      | ( ( ( collec1823980261e_bool @ SV600 )
          = bot_bo535777328l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3355]) ).

thf(3505,plain,
    ! [SV726: $i,SV217: $i,SV696: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
        = $true )
      | ( ( ( ( insert1415133716_state @ SV696 @ SV726 )
           != ( insert1415133716_state @ SV696 @ SV217 ) )
          | ( SV726 = SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV726 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3358]) ).

thf(3506,plain,
    ! [SV727: $i,SV217: $i,SV697: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
        = $true )
      | ( ( ( SV727 != SV217 )
          | ( ( insert1415133716_state @ SV697 @ SV727 )
            = ( insert1415133716_state @ SV697 @ SV217 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV727 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3359]) ).

thf(3507,plain,
    ! [SV728: $i,SV606: $i] :
      ( ( ( SV606 = bot_bo620288102e_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV728 ) @ SV606 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3362]) ).

thf(3508,plain,
    ! [SV767: $i,SV608: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV608 @ SV767 ) )
        = $false )
      | ( ( bot_bo620288102e_bool
          = ( collec307967673_state @ SV608 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3363]) ).

thf(3509,plain,
    ! [SV218: $i,SV700: $i,SV729: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ ( insert_pname @ SV700 @ SV218 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ SV218 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV700 ) @ SV729 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3364]) ).

thf(3510,plain,
    ! [SV701: $i,SV218: $i,SV730: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ SV218 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ ( insert_pname @ SV701 @ SV218 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV701 ) @ SV730 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3365]) ).

thf(3511,plain,
    ! [SV702: $i,SV731: $i,SV219: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV219 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV731 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
          | ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3366]) ).

thf(3512,plain,
    ! [SV703: $i,SV732: $i,SV219: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV219 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV732 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
          | ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3367]) ).

thf(3513,plain,
    ! [SV704: $i,SV220: $i,SV733: $i,SV795: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) )
          | ~ ( is_pname @ SV795 )
          | ( SV220
           != ( hAPP_p1422361149_state @ SV704 @ SV795 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3368]) ).

thf(3514,plain,
    ! [SV734: $i,SV705: $i,SV220: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
                    | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
              | ( SV220
               != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3369]) ).

thf(3515,plain,
    ! [SV613: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
          | ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) )
        = $false )
      | ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3372]) ).

thf(3516,plain,
    ! [SV614: $i,SV796: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV796 ) @ SV614 ) )
          | ~ ( is_pname @ SV796 ) )
        = $true )
      | ( ( ( SV614 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3373]) ).

thf(3517,plain,
    ! [SV710: $i,SV615: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV710 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SV710 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3374]) ).

thf(3518,plain,
    ! [SV768: $i] :
      ( ( ( ! [SY3235: $i] :
              ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV768 ) @ SY3235 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV768 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3375]) ).

thf(3519,plain,
    ! [SV797: $i,SV769: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV769 ) @ SV797 ) ) ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV797 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3376]) ).

thf(3520,plain,
    ! [SV735: $i,SV288: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SV735 ) ) )
        = $false )
      | ( ( ( SV85 = SV288 )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SV735 ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( is_fun_pname_bool @ SV288 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3378]) ).

thf(3521,plain,
    ! [SV736: $i,SV290: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SV736 ) ) )
        = $false )
      | ( ( ( SV87 = SV290 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SV736 ) ) )
        = $true )
      | ( ( is_pname @ SV87 )
        = $false )
      | ( ( is_pname @ SV290 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3379]) ).

thf(3522,plain,
    ! [SV89: $i,SV292: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) ) )
        = $true )
      | ( ( SV89 = SV292 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3380]) ).

thf(3523,plain,
    ! [SV91: $i,SV294: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) ) )
        = $true )
      | ( ( SV91 = SV294 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( is_fun_pname_bool @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3381]) ).

thf(3524,plain,
    ! [SV499: $i,SV617: $i] :
      ( ( ( SV617 = bot_bo1649642514l_bool )
        = $false )
      | ( ( ( image_516545147_state @ ( cOMBK_1503445380e_bool @ SV499 ) @ SV617 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV617 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3397]) ).

thf(3525,plain,
    ! [SV619: $i,SV711: $i,SV196: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV711 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SV711 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SV711 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3399]) ).

thf(3526,plain,
    ! [SV798: $i,SV770: $i,SV196: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV770 ) ) @ SV798 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV798 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3400]) ).

thf(3527,plain,
    ! [SV799: $i,SV771: $i,SV196: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV771 ) ) @ SV799 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV771 ) @ SV799 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3401]) ).

thf(3528,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( ( SV197
           != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3403]) ).

thf(3529,plain,
    ! [SV198: $i,SV626: $i] :
      ( ( ( is_pname @ SV626 )
        = $false )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( ! [SY3194: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SY3194 ) ) )
              | ( SV198 = SV626 )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3194 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3404]) ).

thf(3530,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 )
          | ~ ( is_pname @ SV772 ) )
        = $true )
      | ( ( ( SV198 != SV772 )
          | ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3405]) ).

thf(3531,plain,
    ! [SV773: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 )
          | ~ ( is_pname @ SV773 ) )
        = $true )
      | ( ( ! [SY3240: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3240 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SY3240 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3406]) ).

thf(3532,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV386 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3407]) ).

thf(3533,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3408]) ).

thf(3534,plain,
    ! [SV512: $i,SV739: $i] :
      ( ( ( is_pname @ SV739 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SV739 ) ) )
        = $true )
      | ( ( ( collect_pname @ SV512 )
          = bot_bo844097828e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3411]) ).

thf(3535,plain,
    ! [SV629: $i,SV517: $i] :
      ( ( ( ( image_2003357581_state @ SV517 @ SV629 )
          = bot_bo620288102e_bool )
        = $false )
      | ( ( SV629 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3413]) ).

thf(3536,plain,
    ! [SV518: $i,SV630: $i] :
      ( ( ( SV630 = bot_bo844097828e_bool )
        = $false )
      | ( ( ( image_2003357581_state @ SV518 @ SV630 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV630 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3414]) ).

thf(3537,plain,
    ! [SV522: $i,SV740: $i] :
      ( ( ( is_pname @ SV740 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SV740 ) ) )
        = $true )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV522 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3417]) ).

thf(3538,plain,
    ! [SV633: $i,SV523: $i] :
      ( ( ( bot_bo620288102e_bool
          = ( image_2003357581_state @ SV523 @ SV633 ) )
        = $false )
      | ( ( SV633 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV633 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3418]) ).

thf(3539,plain,
    ! [SV524: $i,SV634: $i] :
      ( ( ( SV634 = bot_bo844097828e_bool )
        = $false )
      | ( ( bot_bo620288102e_bool
          = ( image_2003357581_state @ SV524 @ SV634 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3419]) ).

thf(3540,plain,
    ! [SV526: $i,SV741: $i] :
      ( ( ( is_fun_pname_bool @ SV741 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SV741 ) ) )
        = $true )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV526 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3422]) ).

thf(3541,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ SV475 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3424]) ).

thf(3542,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3425]) ).

thf(3543,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3070: $i,SY3071: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
              | ( SV200 = SY3070 )
              | ( SV200 = SY3071 ) )
        | ~ ! [SY3072: $i] :
              ( ! [SY3073: $i] :
                  ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                 != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
              | ( SV200 = SY3072 )
              | ( SV387 = SY3072 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3426]) ).

thf(3544,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3074: $i,SY3075: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
              | ( SV387 = SY3075 )
              | ( SV200 = SY3075 ) )
        | ~ ! [SY3076: $i,SY3077: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
              | ( SV387 = SY3077 )
              | ( SV387 = SY3076 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3427]) ).

thf(3545,plain,
    ! [SV387: $i,SV800: $i,SV200: $i] :
      ( ( ! [SY3249: $i] :
            ( ( SV200 != SV800 )
            | ( SV387 != SY3249 )
            | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
              = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SY3249 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3428]) ).

thf(3546,plain,
    ! [SV801: $i,SV387: $i,SV200: $i] :
      ( ( ! [SY3250: $i] :
            ( ( SV200 != SY3250 )
            | ( SV387 != SV801 )
            | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
              = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SY3250 @ bot_bo620288102e_bool ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3429]) ).

thf(3547,plain,
    ! [SV535: $i,SV744: $i] :
      ( ( ( is_fun_pname_bool @ SV744 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SV744 ) ) )
        = $true )
      | ( ( ( collec1974731493e_bool @ SV535 )
          = bot_bo1649642514l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3432]) ).

thf(3548,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3433]) ).

thf(3549,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3434]) ).

thf(3550,plain,
    ! [SV542: $i,SV639: $i] :
      ( ( ( is_pname @ SV639 )
        = $false )
      | ( ( is_pname @ SV542 )
        = $false )
      | ( ( ( SV542 != SV639 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3438]) ).

thf(3551,plain,
    ! [SV543: $i,SV640: $i] :
      ( ( ( is_pname @ SV640 )
        = $false )
      | ( ( is_pname @ SV543 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
          | ( SV543 = SV640 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3439]) ).

thf(3552,plain,
    ! [SV544: $i,SV641: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV641 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV544 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV544 ) @ SV641 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3440]) ).

thf(3553,plain,
    ! [SV802: $i,SV747: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV747 ) @ SV802 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV747 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3441]) ).

thf(3554,plain,
    ! [SV774: $i,SV748: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV748 ) @ SV774 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV774 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3442]) ).

thf(3555,plain,
    ! [SV546: $i,SV749: $i] :
      ( ( ( is_fun1661590463l_bool @ SV749 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SV749 ) ) )
        = $true )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV546 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3445]) ).

thf(3556,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                      | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3446]) ).

thf(3557,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( ( SV478
           != ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3446]) ).

thf(3558,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3453]) ).

thf(3559,plain,
    ! [SV556: $i,SV751: $i] :
      ( ( ( is_fun1661590463l_bool @ SV751 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SV751 ) ) )
        = $true )
      | ( ( ( collec1613912337l_bool @ SV556 )
          = bot_bo1537088220l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3456]) ).

thf(3560,plain,
    ! [SV557: $i,SV658: $i] :
      ( ( ( SV658 = bot_bo844097828e_bool )
        = $false )
      | ( ( ( image_2003357581_state @ ( cOMBK_367030522_pname @ SV557 ) @ SV658 )
          = bot_bo620288102e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV658 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3459]) ).

thf(3561,plain,
    ! [SV559: $i,SV660: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV660 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV559 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV559 ) @ SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3461]) ).

thf(3562,plain,
    ! [SV803: $i,SV752: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV752 ) @ SV803 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV752 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3462]) ).

thf(3563,plain,
    ! [SV778: $i,SV753: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV753 ) @ SV778 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV778 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3463]) ).

thf(3564,plain,
    ! [SV717: $i,SV661: $i,SV209: $i] :
      ( ( ( SV209 = SV661 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV717 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV661 @ SV717 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3464]) ).

thf(3565,plain,
    ! [SV779: $i,SV209: $i] :
      ( ( ( ( SV209 != SV779 ) )
        = $true )
      | ( ( ! [SY3241: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV779 @ SY3241 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3465]) ).

thf(3566,plain,
    ! [SV780: $i,SV804: $i,SV209: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV804 ) )
        | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV780 @ SV804 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3466]) ).

thf(3567,plain,
    ! [SV664: $i,SV210: $i,SV718: $i,SV781: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) )
          | ~ ( is_fun_pname_bool @ SV781 ) )
        = $true )
      | ( ( ( SV210
           != ( image_2003357581_state @ SV664 @ SV781 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3467]) ).

thf(3568,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
                | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
          | ( SV210
           != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3468]) ).

thf(3569,plain,
    ! [SV211: $i,SV666: $i,SV720: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ ( insert1415133716_state @ SV666 @ SV211 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV720 ) @ SV211 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV666 ) @ SV720 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3469]) ).

thf(3570,plain,
    ! [SV667: $i,SV211: $i,SV721: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ SV211 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV721 ) @ ( insert1415133716_state @ SV667 @ SV211 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV667 ) @ SV721 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3470]) ).

thf(3571,plain,
    ! [SV564: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) ) )
        = $false )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3471]) ).

thf(3572,plain,
    ! [SV564: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) ) )
        = $false )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3471]) ).

thf(3573,plain,
    ! [SV565: $i,SV805: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV805 )
          | ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV805 ) @ SV565 ) ) )
        = $true )
      | ( ( SV565 = bot_bo1649642514l_bool )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3472]) ).

thf(3574,plain,
    ! [SV566: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) ) )
        = $false )
      | ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3575,plain,
    ! [SV566: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) ) )
        = $false )
      | ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3576,plain,
    ! [SV567: $i,SV782: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV782 ) @ SV567 ) ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV782 ) )
        = $true )
      | ( ( ( SV567 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3474]) ).

thf(3577,plain,
    ! [SV572: $i,SV675: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV675 ) @ SV572 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV572 ) @ SV675 ) )
        = $false )
      | ( ( SV572 = SV675 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3477]) ).

thf(3578,plain,
    ! [SV784: $i,SV755: $i] :
      ( ( ( ( SV755 != SV784 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV755 ) @ SV784 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3478]) ).

thf(3579,plain,
    ! [SV785: $i,SV756: $i] :
      ( ( ( ( SV756 != SV785 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV785 ) @ SV756 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3479]) ).

thf(3580,plain,
    ! [SV676: $i,SV723: $i,SV213: $i] :
      ( ( ( SV213 = SV723 )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV676 @ SV723 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV676 ) @ SV723 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3480]) ).

thf(3581,plain,
    ! [SV786: $i,SV806: $i,SV213: $i] :
      ( ( ( SV213 != SV806 )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV786 ) @ SV806 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3481]) ).

thf(3582,plain,
    ! [SV213: $i,SV807: $i,SV787: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV787 @ SV807 ) )
        | ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV787 ) @ SV807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3482]) ).

thf(3583,plain,
    ! [SV577: $i,SV680: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV680 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV577 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV577 ) @ SV680 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3483]) ).

thf(3584,plain,
    ! [SV808: $i,SV758: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV758 ) @ SV808 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV758 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3484]) ).

thf(3585,plain,
    ! [SV788: $i,SV759: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV759 ) @ SV788 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV788 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3485]) ).

thf(3586,plain,
    ! [SV681: $i,SV724: $i,SV214: $i] :
      ( ( ( is_pname @ SV214 )
        = $false )
      | ( ( ~ ( is_pname @ SV724 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
          | ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3486]) ).

thf(3587,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ~ ( is_pname @ SV214 )
        | ~ ( is_pname @ SV809 )
        | ( SV214 != SV809 )
        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3487]) ).

thf(3588,plain,
    ! [SV790: $i,SV810: $i,SV214: $i] :
      ( ( ~ ( is_pname @ SV214 )
        | ~ ( is_pname @ SV810 )
        | ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
        | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3488]) ).

thf(3589,plain,
    ! [SV686: $i,SV725: $i,SV215: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV725 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SV725 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3490]) ).

thf(3590,plain,
    ! [SV811: $i,SV791: $i,SV215: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV791 ) ) @ SV811 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV811 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3491]) ).

thf(3591,plain,
    ! [SV812: $i,SV792: $i,SV215: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV792 ) ) @ SV812 ) )
        | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV792 ) @ SV812 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3492]) ).

thf(3592,plain,
    ! [SV588: $i,SV687: $i] :
      ( ( ( is_fun_pname_bool @ SV687 )
        = $false )
      | ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
          | ( SV588 = SV687 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3495]) ).

thf(3593,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV763 )
          | ~ ( is_fun_pname_bool @ SV793 ) )
        = $true )
      | ( ( ( SV763 != SV793 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3496]) ).

thf(3594,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV764 )
          | ~ ( is_fun_pname_bool @ SV794 ) )
        = $true )
      | ( ( ( SV764 != SV794 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3497]) ).

thf(3595,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3498]) ).

thf(3596,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( is_pname @ SV690 )
        = $false )
      | ( ( is_pname @ SV591 )
        = $false )
      | ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
           != ( hAPP_pname_com @ body_1 @ SV690 ) )
          | ( SV591 = SV690 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3499]) ).

thf(3597,plain,
    ! [SV592: $i,SV691: $i] :
      ( ( ( is_pname @ SV691 )
        = $false )
      | ( ( is_pname @ SV592 )
        = $false )
      | ( ( ( SV592 != SV691 )
          | ( ( hAPP_pname_com @ body_1 @ SV592 )
            = ( hAPP_pname_com @ body_1 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3500]) ).

thf(3598,plain,
    ! [SV597: $i] :
      ( ( ( ~ ( is_pname @ ( sK17_X_1 @ SV597 ) ) )
        = $false )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3502]) ).

thf(3599,plain,
    ! [SV597: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) ) )
        = $false )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3502]) ).

thf(3600,plain,
    ! [SV598: $i,SV813: $i] :
      ( ( ( ~ ( is_pname @ SV813 )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV813 ) @ SV598 ) ) )
        = $true )
      | ( ( SV598 = bot_bo844097828e_bool )
        = $false )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3503]) ).

thf(3601,plain,
    ! [SV217: $i,SV726: $i,SV696: $i] :
      ( ( ( ( ( insert1415133716_state @ SV696 @ SV726 )
           != ( insert1415133716_state @ SV696 @ SV217 ) ) )
        = $true )
      | ( ( SV726 = SV217 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV726 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3505]) ).

thf(3602,plain,
    ! [SV697: $i,SV217: $i,SV727: $i] :
      ( ( ( ( SV727 != SV217 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV697 @ SV727 )
          = ( insert1415133716_state @ SV697 @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV727 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3506]) ).

thf(3603,plain,
    ! [SV218: $i,SV700: $i,SV729: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ ( insert_pname @ SV700 @ SV218 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV729 ) @ SV218 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV700 ) @ SV729 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3509]) ).

thf(3604,plain,
    ! [SV701: $i,SV218: $i,SV730: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ SV218 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV730 ) @ ( insert_pname @ SV701 @ SV218 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV701 ) @ SV730 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3510]) ).

thf(3605,plain,
    ! [SV702: $i,SV731: $i,SV219: $i] :
      ( ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV731 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
          | ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3511]) ).

thf(3606,plain,
    ! [SV703: $i,SV732: $i,SV219: $i] :
      ( ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV732 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
          | ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3512]) ).

thf(3607,plain,
    ! [SV704: $i,SV220: $i,SV733: $i,SV795: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) )
          | ~ ( is_pname @ SV795 ) )
        = $true )
      | ( ( ( SV220
           != ( hAPP_p1422361149_state @ SV704 @ SV795 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3513]) ).

thf(3608,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
                | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
          | ( SV220
           != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3514]) ).

thf(3609,plain,
    ! [SV613: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) ) )
        = $false )
      | ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3515]) ).

thf(3610,plain,
    ! [SV613: $i] :
      ( ( ( ~ ( is_pname @ ( sK21_X_1 @ SV613 ) ) )
        = $false )
      | ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3515]) ).

thf(3611,plain,
    ! [SV614: $i,SV796: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV796 ) @ SV614 ) ) )
        = $true )
      | ( ( ~ ( is_pname @ SV796 ) )
        = $true )
      | ( ( ( SV614 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3516]) ).

thf(3612,plain,
    ! [SV615: $i,SV710: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV710 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV615 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV615 ) @ SV710 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3517]) ).

thf(3613,plain,
    ! [SV814: $i,SV768: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV768 ) @ SV814 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV768 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3518]) ).

thf(3614,plain,
    ! [SV797: $i,SV769: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV769 ) @ SV797 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV797 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3519]) ).

thf(3615,plain,
    ! [SV735: $i,SV288: $i,SV85: $i] :
      ( ( ( SV85 = SV288 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV85 ) @ ( insert1325755072e_bool @ SV288 @ SV735 ) ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV85 )
        = $false )
      | ( ( is_fun_pname_bool @ SV288 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3520]) ).

thf(3616,plain,
    ! [SV736: $i,SV290: $i,SV87: $i] :
      ( ( ( SV87 = SV290 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ SV736 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV87 ) @ ( insert_pname @ SV290 @ SV736 ) ) )
        = $false )
      | ( ( is_pname @ SV87 )
        = $false )
      | ( ( is_pname @ SV290 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3521]) ).

thf(3617,plain,
    ! [SV89: $i,SV292: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV292 ) @ SV89 ) )
        = $false )
      | ( ( SV89 = SV292 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV89 ) @ SV292 ) )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV89 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3522]) ).

thf(3618,plain,
    ! [SV91: $i,SV294: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV294 ) @ SV91 ) )
        = $false )
      | ( ( SV91 = SV294 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV91 ) @ SV294 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV91 )
        = $false )
      | ( ( is_fun_pname_bool @ SV294 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3523]) ).

thf(3619,plain,
    ! [SV196: $i,SV711: $i,SV619: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV619 ) @ SV711 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV711 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV619 ) ) @ SV711 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3525]) ).

thf(3620,plain,
    ! [SV798: $i,SV770: $i,SV196: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV770 ) ) @ SV798 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV798 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3526]) ).

thf(3621,plain,
    ! [SV799: $i,SV771: $i,SV196: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV771 ) ) @ SV799 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV771 ) @ SV799 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3527]) ).

thf(3622,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( ( SV197
           != ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3528]) ).

thf(3623,plain,
    ! [SV197: $i,SV385: $i,SV474: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3528]) ).

thf(3624,plain,
    ! [SV815: $i,SV626: $i,SV198: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SV815 ) ) )
          | ( SV198 = SV626 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV815 ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV626 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3529]) ).

thf(3625,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV772 ) )
        = $true )
      | ( ( ( SV198 != SV772 )
          | ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3530]) ).

thf(3626,plain,
    ! [SV773: $i,SV198: $i] :
      ( ( ( ~ ( is_pname @ SV198 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV773 ) )
        = $true )
      | ( ( ! [SY3240: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3240 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SY3240 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3531]) ).

thf(3627,plain,
    ! [SV199: $i,SV386: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK3_X_1 @ SV386 @ SV199 ) ) @ SV199 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV386 ) @ SV199 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3533]) ).

thf(3628,plain,
    ! [SV739: $i,SV512: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV512 @ SV739 ) )
        = $false )
      | ( ( is_pname @ SV739 )
        = $false )
      | ( ( ( collect_pname @ SV512 )
          = bot_bo844097828e_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3534]) ).

thf(3629,plain,
    ! [SV740: $i,SV522: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV522 @ SV740 ) )
        = $false )
      | ( ( is_pname @ SV740 )
        = $false )
      | ( ( bot_bo844097828e_bool
          = ( collect_pname @ SV522 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3537]) ).

thf(3630,plain,
    ! [SV741: $i,SV526: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV526 @ SV741 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV741 )
        = $false )
      | ( ( bot_bo1649642514l_bool
          = ( collec1974731493e_bool @ SV526 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3540]) ).

thf(3631,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( hBOOL @ ( wt @ SV475 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( is_pname @ ( sK14_X_1 @ SV531 @ SV475 ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3541]) ).

thf(3632,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3542]) ).

thf(3633,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3542]) ).

thf(3634,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3070: $i,SY3071: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
              | ( SV200 = SY3070 )
              | ( SV200 = SY3071 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3543]) ).

thf(3635,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3072: $i] :
              ( ! [SY3073: $i] :
                  ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
                 != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
              | ( SV200 = SY3072 )
              | ( SV387 = SY3072 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3543]) ).

thf(3636,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3074: $i,SY3075: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
              | ( SV387 = SY3075 )
              | ( SV200 = SY3075 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3544]) ).

thf(3637,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ~ ! [SY3076: $i,SY3077: $i] :
              ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
              | ( SV387 = SY3077 )
              | ( SV387 = SY3076 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3544]) ).

thf(3638,plain,
    ! [SV816: $i,SV387: $i,SV800: $i,SV200: $i] :
      ( ( ( SV200 != SV800 )
        | ( SV387 != SV816 )
        | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SV816 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3545]) ).

thf(3639,plain,
    ! [SV801: $i,SV387: $i,SV817: $i,SV200: $i] :
      ( ( ( SV200 != SV817 )
        | ( SV387 != SV801 )
        | ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SV817 @ bot_bo620288102e_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3546]) ).

thf(3640,plain,
    ! [SV744: $i,SV535: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV535 @ SV744 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV744 )
        = $false )
      | ( ( ( collec1974731493e_bool @ SV535 )
          = bot_bo1649642514l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3547]) ).

thf(3641,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3548]) ).

thf(3642,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                    | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3549]) ).

thf(3643,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ( ( SV542 != SV639 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( is_pname @ SV542 )
        = $false )
      | ( ( is_pname @ SV639 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3550]) ).

thf(3644,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) ) )
        = $true )
      | ( ( SV543 = SV640 )
        = $true )
      | ( ( is_pname @ SV543 )
        = $false )
      | ( ( is_pname @ SV640 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3551]) ).

thf(3645,plain,
    ! [SV802: $i,SV747: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV747 ) @ SV802 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV747 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3553]) ).

thf(3646,plain,
    ! [SV774: $i,SV748: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ ( cOMBS_350070575l_bool @ ( cOMBB_2095475776e_bool @ fdisj @ SV748 ) @ SV774 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( collec1974731493e_bool @ SV774 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3554]) ).

thf(3647,plain,
    ! [SV749: $i,SV546: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV546 @ SV749 ) )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV749 )
        = $false )
      | ( ( bot_bo1537088220l_bool
          = ( collec1613912337l_bool @ SV546 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3555]) ).

thf(3648,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                    | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3556]) ).

thf(3649,plain,
    ! [SV390: $i,SV203: $i,SV478: $i] :
      ( ( ( SV478
          = ( image_2003357581_state @ SV203 @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3557]) ).

thf(3650,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3558]) ).

thf(3651,plain,
    ! [SV751: $i,SV556: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV556 @ SV751 ) )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV751 )
        = $false )
      | ( ( ( collec1613912337l_bool @ SV556 )
          = bot_bo1537088220l_bool )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3559]) ).

thf(3652,plain,
    ! [SV803: $i,SV752: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV752 ) @ SV803 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV752 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3562]) ).

thf(3653,plain,
    ! [SV778: $i,SV753: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ ( cOMBS_458705923l_bool @ ( cOMBB_962198420_state @ fdisj @ SV753 ) @ SV778 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( collec307967673_state @ SV778 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3563]) ).

thf(3654,plain,
    ! [SV779: $i,SV209: $i] :
      ( ( ( SV209 = SV779 )
        = $false )
      | ( ( ! [SY3241: $i] : ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV779 @ SY3241 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3565]) ).

thf(3655,plain,
    ! [SV780: $i,SV804: $i,SV209: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV804 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV780 @ SV804 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3566]) ).

thf(3656,plain,
    ! [SV664: $i,SV210: $i,SV718: $i,SV781: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV781 ) )
        = $true )
      | ( ( ( SV210
           != ( image_2003357581_state @ SV664 @ SV781 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3567]) ).

thf(3657,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
                | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3568]) ).

thf(3658,plain,
    ! [SV719: $i,SV665: $i,SV210: $i] :
      ( ( ( ( SV210
           != ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3568]) ).

thf(3659,plain,
    ! [SV564: $i] :
      ( ( ( is_fun_pname_bool @ ( sK20_X_1 @ SV564 ) )
        = $true )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3571]) ).

thf(3660,plain,
    ! [SV564: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK20_X_1 @ SV564 ) ) @ SV564 ) )
        = $true )
      | ( ( SV564 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV564 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3572]) ).

thf(3661,plain,
    ! [SV565: $i,SV805: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV805 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV805 ) @ SV565 ) ) )
        = $true )
      | ( ( SV565 = bot_bo1649642514l_bool )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3573]) ).

thf(3662,plain,
    ! [SV566: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK24_X_1 @ SV566 ) ) @ SV566 ) )
        = $true )
      | ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3574]) ).

thf(3663,plain,
    ! [SV566: $i] :
      ( ( ( is_fun_pname_bool @ ( sK24_X_1 @ SV566 ) )
        = $true )
      | ( ( SV566 = bot_bo1649642514l_bool )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV566 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3575]) ).

thf(3664,plain,
    ! [SV567: $i,SV782: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV782 ) @ SV567 ) )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV782 ) )
        = $true )
      | ( ( ( SV567 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3576]) ).

thf(3665,plain,
    ! [SV784: $i,SV755: $i] :
      ( ( ( SV755 = SV784 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV755 ) @ SV784 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3578]) ).

thf(3666,plain,
    ! [SV785: $i,SV756: $i] :
      ( ( ( SV756 = SV785 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV785 ) @ SV756 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3579]) ).

thf(3667,plain,
    ! [SV786: $i,SV806: $i,SV213: $i] :
      ( ( ( ( SV213 != SV806 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV786 ) @ SV806 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3581]) ).

thf(3668,plain,
    ! [SV213: $i,SV807: $i,SV787: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_H78829294e_bool @ SV787 @ SV807 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV787 ) @ SV807 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3582]) ).

thf(3669,plain,
    ! [SV808: $i,SV758: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV758 ) @ SV808 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV758 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3584]) ).

thf(3670,plain,
    ! [SV788: $i,SV759: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ ( cOMBS_2066081387l_bool @ ( cOMBB_1585081418e_bool @ fdisj @ SV759 ) @ SV788 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( collec1823980261e_bool @ SV788 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3585]) ).

thf(3671,plain,
    ! [SV681: $i,SV214: $i,SV724: $i] :
      ( ( ( is_pname @ SV724 )
        = $false )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
          | ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3586]) ).

thf(3672,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 )
          | ~ ( is_pname @ SV809 ) )
        = $true )
      | ( ( ( SV214 != SV809 )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3587]) ).

thf(3673,plain,
    ! [SV790: $i,SV810: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 )
          | ~ ( is_pname @ SV810 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3588]) ).

thf(3674,plain,
    ! [SV215: $i,SV725: $i,SV686: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV686 ) @ SV725 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV725 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV686 ) ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3589]) ).

thf(3675,plain,
    ! [SV811: $i,SV791: $i,SV215: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV791 ) ) @ SV811 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV811 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3590]) ).

thf(3676,plain,
    ! [SV812: $i,SV792: $i,SV215: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV792 ) ) @ SV812 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV792 ) @ SV812 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3591]) ).

thf(3677,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) ) )
        = $true )
      | ( ( SV588 = SV687 )
        = $true )
      | ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( is_fun_pname_bool @ SV687 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3592]) ).

thf(3678,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV763 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV793 ) )
        = $true )
      | ( ( ( SV763 != SV793 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3593]) ).

thf(3679,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ SV764 ) )
        = $true )
      | ( ( ~ ( is_fun_pname_bool @ SV794 ) )
        = $true )
      | ( ( ( SV764 != SV794 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3594]) ).

thf(3680,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                    | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3595]) ).

thf(3681,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
           != ( hAPP_pname_com @ body_1 @ SV690 ) ) )
        = $true )
      | ( ( SV591 = SV690 )
        = $true )
      | ( ( is_pname @ SV591 )
        = $false )
      | ( ( is_pname @ SV690 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3596]) ).

thf(3682,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ( SV592 != SV691 ) )
        = $true )
      | ( ( ( hAPP_pname_com @ body_1 @ SV592 )
          = ( hAPP_pname_com @ body_1 @ SV691 ) )
        = $true )
      | ( ( is_pname @ SV592 )
        = $false )
      | ( ( is_pname @ SV691 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3597]) ).

thf(3683,plain,
    ! [SV597: $i] :
      ( ( ( is_pname @ ( sK17_X_1 @ SV597 ) )
        = $true )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3598]) ).

thf(3684,plain,
    ! [SV597: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK17_X_1 @ SV597 ) ) @ SV597 ) )
        = $true )
      | ( ( SV597 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV597 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3599]) ).

thf(3685,plain,
    ! [SV598: $i,SV813: $i] :
      ( ( ( ~ ( is_pname @ SV813 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV813 ) @ SV598 ) ) )
        = $true )
      | ( ( SV598 = bot_bo844097828e_bool )
        = $false )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3600]) ).

thf(3686,plain,
    ! [SV217: $i,SV726: $i,SV696: $i] :
      ( ( ( ( insert1415133716_state @ SV696 @ SV726 )
          = ( insert1415133716_state @ SV696 @ SV217 ) )
        = $false )
      | ( ( SV726 = SV217 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV696 ) @ SV726 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3601]) ).

thf(3687,plain,
    ! [SV697: $i,SV217: $i,SV727: $i] :
      ( ( ( SV727 = SV217 )
        = $false )
      | ( ( ( insert1415133716_state @ SV697 @ SV727 )
          = ( insert1415133716_state @ SV697 @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV217 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV697 ) @ SV727 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3602]) ).

thf(3688,plain,
    ! [SV702: $i,SV219: $i,SV731: $i] :
      ( ( ( is_fun_pname_bool @ SV731 )
        = $false )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
          | ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3605]) ).

thf(3689,plain,
    ! [SV703: $i,SV219: $i,SV732: $i] :
      ( ( ( is_fun_pname_bool @ SV732 )
        = $false )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
          | ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3606]) ).

thf(3690,plain,
    ! [SV704: $i,SV220: $i,SV733: $i,SV795: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) ) )
        = $true )
      | ( ( ~ ( is_pname @ SV795 ) )
        = $true )
      | ( ( ( SV220
           != ( hAPP_p1422361149_state @ SV704 @ SV795 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3607]) ).

thf(3691,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
                | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3608]) ).

thf(3692,plain,
    ! [SV734: $i,SV705: $i,SV220: $i] :
      ( ( ( ( SV220
           != ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3608]) ).

thf(3693,plain,
    ! [SV613: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK21_X_1 @ SV613 ) ) @ SV613 ) )
        = $true )
      | ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3609]) ).

thf(3694,plain,
    ! [SV613: $i] :
      ( ( ( is_pname @ ( sK21_X_1 @ SV613 ) )
        = $true )
      | ( ( SV613 = bot_bo844097828e_bool )
        = $true )
      | ( ( is_fun_pname_bool @ SV613 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3610]) ).

thf(3695,plain,
    ! [SV614: $i,SV796: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV796 ) @ SV614 ) )
        = $false )
      | ( ( ~ ( is_pname @ SV796 ) )
        = $true )
      | ( ( ( SV614 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3611]) ).

thf(3696,plain,
    ! [SV814: $i,SV768: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV768 ) @ SV814 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV768 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3613]) ).

thf(3697,plain,
    ! [SV797: $i,SV769: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ ( cOMBS_568398431l_bool @ ( cOMBB_675860798_pname @ fdisj @ SV769 ) @ SV797 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( collect_pname @ SV797 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3614]) ).

thf(3698,plain,
    ! [SV798: $i,SV770: $i,SV196: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV770 ) ) @ SV798 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV196 ) @ SV798 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3620]) ).

thf(3699,plain,
    ! [SV799: $i,SV771: $i,SV196: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ ( insert1415133716_state @ SV196 @ SV771 ) ) @ SV799 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV771 ) @ SV799 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3621]) ).

thf(3700,plain,
    ! [SV474: $i,SV385: $i,SV197: $i] :
      ( ( ( SV197
          = ( hAPP_p1422361149_state @ SV385 @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3622]) ).

thf(3701,plain,
    ! [SV197: $i,SV385: $i,SV474: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK13_X_1 @ SV474 @ SV385 @ SV197 ) ) @ SV474 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV197 ) @ ( image_2003357581_state @ SV385 @ SV474 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3623]) ).

thf(3702,plain,
    ! [SV815: $i,SV626: $i,SV198: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SV815 ) ) ) )
        = $true )
      | ( ( ( SV198 = SV626 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV815 ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV626 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3624]) ).

thf(3703,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ( is_pname @ SV198 )
        = $false )
      | ( ( ~ ( is_pname @ SV772 ) )
        = $true )
      | ( ( ( SV198 != SV772 )
          | ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3625]) ).

thf(3704,plain,
    ! [SV773: $i,SV198: $i] :
      ( ( ( is_pname @ SV198 )
        = $false )
      | ( ( ~ ( is_pname @ SV773 ) )
        = $true )
      | ( ( ! [SY3240: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3240 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SY3240 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3626]) ).

thf(3705,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3632]) ).

thf(3706,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3633]) ).

thf(3707,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3070: $i,SY3071: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SY3070 @ ( insert1415133716_state @ SY3071 @ bot_bo620288102e_bool ) ) )
            | ( SV200 = SY3070 )
            | ( SV200 = SY3071 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3634]) ).

thf(3708,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3072: $i] :
            ( ! [SY3073: $i] :
                ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
               != ( insert1415133716_state @ SY3072 @ ( insert1415133716_state @ SY3073 @ bot_bo620288102e_bool ) ) )
            | ( SV200 = SY3072 )
            | ( SV387 = SY3072 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3635]) ).

thf(3709,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3074: $i,SY3075: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SY3074 @ ( insert1415133716_state @ SY3075 @ bot_bo620288102e_bool ) ) )
            | ( SV387 = SY3075 )
            | ( SV200 = SY3075 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3636]) ).

thf(3710,plain,
    ! [SV387: $i,SV200: $i] :
      ( ( ! [SY3076: $i,SY3077: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SY3076 @ ( insert1415133716_state @ SY3077 @ bot_bo620288102e_bool ) ) )
            | ( SV387 = SY3077 )
            | ( SV387 = SY3076 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3637]) ).

thf(3711,plain,
    ! [SV816: $i,SV387: $i,SV800: $i,SV200: $i] :
      ( ( ( ( SV200 != SV800 )
          | ( SV387 != SV816 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SV816 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3638]) ).

thf(3712,plain,
    ! [SV801: $i,SV387: $i,SV817: $i,SV200: $i] :
      ( ( ( ( SV200 != SV817 )
          | ( SV387 != SV801 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SV817 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3639]) ).

thf(3713,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3641]) ).

thf(3714,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3642]) ).

thf(3715,plain,
    ! [SV639: $i,SV542: $i] :
      ( ( ( SV542 = SV639 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV542 ) @ ( insert_pname @ SV639 @ bot_bo844097828e_bool ) ) )
        = $true )
      | ( ( is_pname @ SV542 )
        = $false )
      | ( ( is_pname @ SV639 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3643]) ).

thf(3716,plain,
    ! [SV640: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV543 ) @ ( insert_pname @ SV640 @ bot_bo844097828e_bool ) ) )
        = $false )
      | ( ( SV543 = SV640 )
        = $true )
      | ( ( is_pname @ SV543 )
        = $false )
      | ( ( is_pname @ SV640 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3644]) ).

thf(3717,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3648]) ).

thf(3718,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3650]) ).

thf(3719,plain,
    ! [SV818: $i,SV779: $i,SV209: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV779 @ SV818 ) ) )
        = $true )
      | ( ( SV209 = SV779 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3654]) ).

thf(3720,plain,
    ! [SV780: $i,SV804: $i,SV209: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ SV804 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV209 ) @ ( insert1415133716_state @ SV780 @ SV804 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3655]) ).

thf(3721,plain,
    ! [SV664: $i,SV210: $i,SV718: $i,SV781: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV781 ) )
        = $true )
      | ( ( ( SV210
           != ( image_2003357581_state @ SV664 @ SV781 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3656]) ).

thf(3722,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
              | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3657]) ).

thf(3723,plain,
    ! [SV719: $i,SV665: $i,SV210: $i] :
      ( ( ( SV210
          = ( image_2003357581_state @ SV665 @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3658]) ).

thf(3724,plain,
    ! [SV565: $i,SV805: $i] :
      ( ( ( is_fun_pname_bool @ SV805 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV805 ) @ SV565 ) ) )
        = $true )
      | ( ( SV565 = bot_bo1649642514l_bool )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3661]) ).

thf(3725,plain,
    ! [SV567: $i,SV782: $i] :
      ( ( ( is_fun_pname_bool @ SV782 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV782 ) @ SV567 ) )
        = $false )
      | ( ( ( SV567 != bot_bo1649642514l_bool ) )
        = $true )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3664]) ).

thf(3726,plain,
    ! [SV786: $i,SV806: $i,SV213: $i] :
      ( ( ( SV213 = SV806 )
        = $false )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV786 ) @ SV806 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3667]) ).

thf(3727,plain,
    ! [SV213: $i,SV807: $i,SV787: $i] :
      ( ( ( hBOOL @ ( hAPP_H78829294e_bool @ SV787 @ SV807 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_H78829294e_bool @ ( insert1415133716_state @ SV213 @ SV787 ) @ SV807 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3668]) ).

thf(3728,plain,
    ! [SV724: $i,SV681: $i,SV214: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) ) )
        = $true )
      | ( ( ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV724 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3671]) ).

thf(3729,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV809 ) )
        = $true )
      | ( ( ( SV214 != SV809 )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3672]) ).

thf(3730,plain,
    ! [SV790: $i,SV810: $i,SV214: $i] :
      ( ( ( ~ ( is_pname @ SV214 ) )
        = $true )
      | ( ( ~ ( is_pname @ SV810 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3673]) ).

thf(3731,plain,
    ! [SV811: $i,SV791: $i,SV215: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV791 ) ) @ SV811 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV215 ) @ SV811 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3675]) ).

thf(3732,plain,
    ! [SV812: $i,SV792: $i,SV215: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( insert_pname @ SV215 @ SV792 ) ) @ SV812 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV792 ) @ SV812 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3676]) ).

thf(3733,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) ) )
        = $true )
      | ( ( SV588 = SV687 )
        = $true )
      | ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( is_fun_pname_bool @ SV687 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3677]) ).

thf(3734,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ( is_fun_pname_bool @ SV763 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV793 ) )
        = $true )
      | ( ( ( SV763 != SV793 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3678]) ).

thf(3735,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ( is_fun_pname_bool @ SV764 )
        = $false )
      | ( ( ~ ( is_fun_pname_bool @ SV794 ) )
        = $true )
      | ( ( ( SV764 != SV794 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3679]) ).

thf(3736,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3680]) ).

thf(3737,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ( hAPP_pname_com @ body_1 @ SV591 )
          = ( hAPP_pname_com @ body_1 @ SV690 ) )
        = $false )
      | ( ( SV591 = SV690 )
        = $true )
      | ( ( is_pname @ SV591 )
        = $false )
      | ( ( is_pname @ SV690 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3681]) ).

thf(3738,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( SV592 = SV691 )
        = $false )
      | ( ( ( hAPP_pname_com @ body_1 @ SV592 )
          = ( hAPP_pname_com @ body_1 @ SV691 ) )
        = $true )
      | ( ( is_pname @ SV592 )
        = $false )
      | ( ( is_pname @ SV691 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3682]) ).

thf(3739,plain,
    ! [SV598: $i,SV813: $i] :
      ( ( ( is_pname @ SV813 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV813 ) @ SV598 ) ) )
        = $true )
      | ( ( SV598 = bot_bo844097828e_bool )
        = $false )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3685]) ).

thf(3740,plain,
    ! [SV219: $i,SV731: $i,SV702: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
          | ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV731 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3688]) ).

thf(3741,plain,
    ! [SV219: $i,SV732: $i,SV703: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
          | ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV732 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3689]) ).

thf(3742,plain,
    ! [SV704: $i,SV220: $i,SV733: $i,SV795: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) )
        = $false )
      | ( ( ~ ( is_pname @ SV795 ) )
        = $true )
      | ( ( ( SV220
           != ( hAPP_p1422361149_state @ SV704 @ SV795 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3690]) ).

thf(3743,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
              | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3691]) ).

thf(3744,plain,
    ! [SV734: $i,SV705: $i,SV220: $i] :
      ( ( ( SV220
          = ( hAPP_p1422361149_state @ SV705 @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3692]) ).

thf(3745,plain,
    ! [SV614: $i,SV796: $i] :
      ( ( ( is_pname @ SV796 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV796 ) @ SV614 ) )
        = $false )
      | ( ( ( SV614 != bot_bo844097828e_bool ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3695]) ).

thf(3746,plain,
    ! [SV815: $i,SV626: $i,SV198: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SV815 ) ) )
        = $false )
      | ( ( ( SV198 = SV626 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV815 ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV626 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3702]) ).

thf(3747,plain,
    ! [SV198: $i,SV772: $i] :
      ( ( ( is_pname @ SV772 )
        = $false )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( ( SV198 != SV772 )
          | ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3703]) ).

thf(3748,plain,
    ! [SV198: $i,SV773: $i] :
      ( ( ( is_pname @ SV773 )
        = $false )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( ! [SY3240: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SY3240 ) )
              | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SY3240 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3704]) ).

thf(3749,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ SV475 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3705]) ).

thf(3750,plain,
    ! [SV475: $i,SV531: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wt @ SV475 ) )
          | ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3706]) ).

thf(3751,plain,
    ! [SV819: $i,SV387: $i,SV200: $i] :
      ( ( ! [SY3251: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SV819 @ ( insert1415133716_state @ SY3251 @ bot_bo620288102e_bool ) ) )
            | ( SV200 = SV819 )
            | ( SV200 = SY3251 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3707]) ).

thf(3752,plain,
    ! [SV820: $i,SV387: $i,SV200: $i] :
      ( ( ! [SY3252: $i] :
            ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
           != ( insert1415133716_state @ SV820 @ ( insert1415133716_state @ SY3252 @ bot_bo620288102e_bool ) ) )
        | ( SV200 = SV820 )
        | ( SV387 = SV820 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3708]) ).

thf(3753,plain,
    ! [SV821: $i,SV387: $i,SV200: $i] :
      ( ( ! [SY3253: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SV821 @ ( insert1415133716_state @ SY3253 @ bot_bo620288102e_bool ) ) )
            | ( SV387 = SY3253 )
            | ( SV200 = SY3253 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3709]) ).

thf(3754,plain,
    ! [SV822: $i,SV387: $i,SV200: $i] :
      ( ( ! [SY3254: $i] :
            ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SV822 @ ( insert1415133716_state @ SY3254 @ bot_bo620288102e_bool ) ) )
            | ( SV387 = SY3254 )
            | ( SV387 = SV822 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3710]) ).

thf(3755,plain,
    ! [SV816: $i,SV387: $i,SV800: $i,SV200: $i] :
      ( ( ( ( SV200 != SV800 ) )
        = $true )
      | ( ( ( SV387 != SV816 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SV816 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3711]) ).

thf(3756,plain,
    ! [SV801: $i,SV387: $i,SV817: $i,SV200: $i] :
      ( ( ( ( SV200 != SV817 ) )
        = $true )
      | ( ( ( SV387 != SV801 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SV817 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3712]) ).

thf(3757,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3713]) ).

thf(3758,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3713]) ).

thf(3759,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
                | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3714]) ).

thf(3760,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3714]) ).

thf(3761,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
                | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3717]) ).

thf(3762,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3717]) ).

thf(3763,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3718]) ).

thf(3764,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3718]) ).

thf(3765,plain,
    ! [SV664: $i,SV210: $i,SV718: $i,SV781: $i] :
      ( ( ( is_fun_pname_bool @ SV781 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) )
        = $false )
      | ( ( ( SV210
           != ( image_2003357581_state @ SV664 @ SV781 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3721]) ).

thf(3766,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
          | ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3722]) ).

thf(3767,plain,
    ! [SV565: $i,SV805: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV805 ) @ SV565 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV805 )
        = $false )
      | ( ( SV565 = bot_bo1649642514l_bool )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV565 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3724]) ).

thf(3768,plain,
    ! [SV782: $i,SV567: $i] :
      ( ( ( SV567 = bot_bo1649642514l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ SV782 ) @ SV567 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV782 )
        = $false )
      | ( ( is_fun1661590463l_bool @ SV567 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3725]) ).

thf(3769,plain,
    ! [SV724: $i,SV681: $i,SV214: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
        = $false )
      | ( ( ( SV214 = SV724 )
          | ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV724 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3728]) ).

thf(3770,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ( is_pname @ SV214 )
        = $false )
      | ( ( ~ ( is_pname @ SV809 ) )
        = $true )
      | ( ( ( SV214 != SV809 )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3729]) ).

thf(3771,plain,
    ! [SV790: $i,SV810: $i,SV214: $i] :
      ( ( ( is_pname @ SV214 )
        = $false )
      | ( ( ~ ( is_pname @ SV810 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3730]) ).

thf(3772,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) ) )
        = $true )
      | ( ( SV588 = SV687 )
        = $true )
      | ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( is_fun_pname_bool @ SV687 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3733]) ).

thf(3773,plain,
    ! [SV763: $i,SV793: $i] :
      ( ( ( is_fun_pname_bool @ SV793 )
        = $false )
      | ( ( is_fun_pname_bool @ SV763 )
        = $false )
      | ( ( ( SV763 != SV793 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3734]) ).

thf(3774,plain,
    ! [SV764: $i,SV794: $i] :
      ( ( ( is_fun_pname_bool @ SV794 )
        = $false )
      | ( ( is_fun_pname_bool @ SV764 )
        = $false )
      | ( ( ( SV764 != SV794 )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3735]) ).

thf(3775,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
                | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3736]) ).

thf(3776,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                      | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                  | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3736]) ).

thf(3777,plain,
    ! [SV598: $i,SV813: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV813 ) @ SV598 ) )
        = $false )
      | ( ( is_pname @ SV813 )
        = $false )
      | ( ( SV598 = bot_bo844097828e_bool )
        = $false )
      | ( ( is_fun_pname_bool @ SV598 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3739]) ).

thf(3778,plain,
    ! [SV731: $i,SV219: $i,SV702: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
        = $true )
      | ( ( ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) )
          | ( SV731 = SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV731 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3740]) ).

thf(3779,plain,
    ! [SV732: $i,SV219: $i,SV703: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
        = $true )
      | ( ( ( SV732 != SV219 )
          | ( ( insert_pname @ SV703 @ SV732 )
            = ( insert_pname @ SV703 @ SV219 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV732 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3741]) ).

thf(3780,plain,
    ! [SV704: $i,SV220: $i,SV733: $i,SV795: $i] :
      ( ( ( is_pname @ SV795 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) )
        = $false )
      | ( ( ( SV220
           != ( hAPP_p1422361149_state @ SV704 @ SV795 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3742]) ).

thf(3781,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
          | ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3743]) ).

thf(3782,plain,
    ! [SV796: $i,SV614: $i] :
      ( ( ( SV614 = bot_bo844097828e_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV796 ) @ SV614 ) )
        = $false )
      | ( ( is_pname @ SV796 )
        = $false )
      | ( ( is_fun_pname_bool @ SV614 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3745]) ).

thf(3783,plain,
    ! [SV815: $i,SV626: $i,SV198: $i] :
      ( ( ( SV198 = SV626 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV815 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV626 @ SV815 ) ) )
        = $false )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV626 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3746]) ).

thf(3784,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ( ( SV198 != SV772 ) )
        = $true )
      | ( ( ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV772 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3747]) ).

thf(3785,plain,
    ! [SV773: $i,SV823: $i,SV198: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV823 ) )
          | ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SV823 ) ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV773 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3748]) ).

thf(3786,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( hBOOL @ ( wt @ SV475 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK14_X_1 @ SV531 @ SV475 ) ) @ ( dom_pname_com @ body ) ) )
        = $true )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3749]) ).

thf(3787,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( ~ ( hBOOL @ ( wt @ SV475 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3750]) ).

thf(3788,plain,
    ! [SV824: $i,SV819: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
         != ( insert1415133716_state @ SV819 @ ( insert1415133716_state @ SV824 @ bot_bo620288102e_bool ) ) )
        | ( SV200 = SV819 )
        | ( SV200 = SV824 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3751]) ).

thf(3789,plain,
    ! [SV820: $i,SV387: $i,SV200: $i] :
      ( ( ( ! [SY3252: $i] :
              ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
             != ( insert1415133716_state @ SV820 @ ( insert1415133716_state @ SY3252 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV200 = SV820 )
          | ( SV387 = SV820 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3752]) ).

thf(3790,plain,
    ! [SV825: $i,SV821: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
         != ( insert1415133716_state @ SV821 @ ( insert1415133716_state @ SV825 @ bot_bo620288102e_bool ) ) )
        | ( SV387 = SV825 )
        | ( SV200 = SV825 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3753]) ).

thf(3791,plain,
    ! [SV826: $i,SV822: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
         != ( insert1415133716_state @ SV822 @ ( insert1415133716_state @ SV826 @ bot_bo620288102e_bool ) ) )
        | ( SV387 = SV826 )
        | ( SV387 = SV822 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3754]) ).

thf(3792,plain,
    ! [SV816: $i,SV387: $i,SV800: $i,SV200: $i] :
      ( ( ( SV200 = SV800 )
        = $false )
      | ( ( ( SV387 != SV816 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SV816 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3755]) ).

thf(3793,plain,
    ! [SV801: $i,SV387: $i,SV817: $i,SV200: $i] :
      ( ( ( SV200 = SV817 )
        = $false )
      | ( ( ( SV387 != SV801 ) )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SV817 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3756]) ).

thf(3794,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3757]) ).

thf(3795,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
              | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3758]) ).

thf(3796,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
              | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3759]) ).

thf(3797,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3760]) ).

thf(3798,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
              | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3761]) ).

thf(3799,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3762]) ).

thf(3800,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3763]) ).

thf(3801,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
              | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3764]) ).

thf(3802,plain,
    ! [SV718: $i,SV781: $i,SV664: $i,SV210: $i] :
      ( ( ( SV210
          = ( image_2003357581_state @ SV664 @ SV781 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV781 ) @ SV718 ) )
        = $false )
      | ( ( is_fun_pname_bool @ SV781 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV664 @ SV718 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3765]) ).

thf(3803,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3766]) ).

thf(3804,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3766]) ).

thf(3805,plain,
    ! [SV681: $i,SV724: $i,SV214: $i] :
      ( ( ( SV214 = SV724 )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ SV681 @ SV724 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV681 ) @ SV724 ) )
        = $false )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV724 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3769]) ).

thf(3806,plain,
    ! [SV789: $i,SV214: $i,SV809: $i] :
      ( ( ( is_pname @ SV809 )
        = $false )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( ( SV214 != SV809 )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3770]) ).

thf(3807,plain,
    ! [SV790: $i,SV214: $i,SV810: $i] :
      ( ( ( is_pname @ SV810 )
        = $false )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
          | ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3771]) ).

thf(3808,plain,
    ! [SV588: $i,SV687: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV687 ) @ SV588 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV588 ) @ SV687 ) )
        = $false )
      | ( ( SV588 = SV687 )
        = $true )
      | ( ( is_fun_pname_bool @ SV588 )
        = $false )
      | ( ( is_fun_pname_bool @ SV687 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3772]) ).

thf(3809,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ( ( SV763 != SV793 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV763 )
        = $false )
      | ( ( is_fun_pname_bool @ SV793 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3773]) ).

thf(3810,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ( ( SV764 != SV794 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV764 )
        = $false )
      | ( ( is_fun_pname_bool @ SV794 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3774]) ).

thf(3811,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
              | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3775]) ).

thf(3812,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                    | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                                | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3776]) ).

thf(3813,plain,
    ! [SV219: $i,SV731: $i,SV702: $i] :
      ( ( ( ( ( insert_pname @ SV702 @ SV731 )
           != ( insert_pname @ SV702 @ SV219 ) ) )
        = $true )
      | ( ( SV731 = SV219 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV731 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3778]) ).

thf(3814,plain,
    ! [SV703: $i,SV219: $i,SV732: $i] :
      ( ( ( ( SV732 != SV219 ) )
        = $true )
      | ( ( ( insert_pname @ SV703 @ SV732 )
          = ( insert_pname @ SV703 @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV732 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3779]) ).

thf(3815,plain,
    ! [SV733: $i,SV795: $i,SV704: $i,SV220: $i] :
      ( ( ( SV220
          = ( hAPP_p1422361149_state @ SV704 @ SV795 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV795 ) @ SV733 ) )
        = $false )
      | ( ( is_pname @ SV795 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV704 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3780]) ).

thf(3816,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3781]) ).

thf(3817,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( ~ ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3781]) ).

thf(3818,plain,
    ! [SV772: $i,SV198: $i] :
      ( ( ( SV198 = SV772 )
        = $false )
      | ( ( ! [SY3239: $i] : ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SY3239 ) ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV772 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3784]) ).

thf(3819,plain,
    ! [SV773: $i,SV823: $i,SV198: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV823 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SV823 ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV773 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3785]) ).

thf(3820,plain,
    ! [SV531: $i,SV475: $i] :
      ( ( ( hBOOL @ ( wt @ SV475 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ SV475 ) @ bot_bo620288102e_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hoare_1598289066_state @ SV531 ) @ ( insert1415133716_state @ ( hAPP_c1126217667_state @ hoare_Mirabelle_MGT @ ( hAPP_pname_com @ body_1 @ ( sK14_X_1 @ SV531 @ SV475 ) ) ) @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( hBOOL @ hoare_165779456gleton )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3787]) ).

thf(3821,plain,
    ! [SV824: $i,SV819: $i,SV387: $i,SV200: $i] :
      ( ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
           != ( insert1415133716_state @ SV819 @ ( insert1415133716_state @ SV824 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV200 = SV819 )
          | ( SV200 = SV824 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3788]) ).

thf(3822,plain,
    ! [SV827: $i,SV820: $i,SV387: $i,SV200: $i] :
      ( ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
           != ( insert1415133716_state @ SV820 @ ( insert1415133716_state @ SV827 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV200 = SV820 )
          | ( SV387 = SV820 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3789]) ).

thf(3823,plain,
    ! [SV825: $i,SV821: $i,SV387: $i,SV200: $i] :
      ( ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
           != ( insert1415133716_state @ SV821 @ ( insert1415133716_state @ SV825 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV387 = SV825 )
          | ( SV200 = SV825 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3790]) ).

thf(3824,plain,
    ! [SV826: $i,SV822: $i,SV387: $i,SV200: $i] :
      ( ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
           != ( insert1415133716_state @ SV822 @ ( insert1415133716_state @ SV826 @ bot_bo620288102e_bool ) ) ) )
        = $true )
      | ( ( ( SV387 = SV826 )
          | ( SV387 = SV822 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3791]) ).

thf(3825,plain,
    ! [SV800: $i,SV200: $i,SV816: $i,SV387: $i] :
      ( ( ( SV387 = SV816 )
        = $false )
      | ( ( SV200 = SV800 )
        = $false )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV800 @ ( insert1415133716_state @ SV816 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3792]) ).

thf(3826,plain,
    ! [SV817: $i,SV200: $i,SV801: $i,SV387: $i] :
      ( ( ( SV387 = SV801 )
        = $false )
      | ( ( SV200 = SV817 )
        = $false )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV801 @ ( insert1415133716_state @ SV817 @ bot_bo620288102e_bool ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3793]) ).

thf(3827,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3795]) ).

thf(3828,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
          | ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3796]) ).

thf(3829,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3797]) ).

thf(3830,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
          | ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3798]) ).

thf(3831,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3801]) ).

thf(3832,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) ) @ SV719 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3803]) ).

thf(3833,plain,
    ! [SV210: $i,SV665: $i,SV719: $i] :
      ( ( ( is_fun_pname_bool @ ( sK15_AA @ SV719 @ SV665 @ SV210 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV210 ) @ ( image_2003357581_state @ SV665 @ SV719 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3804]) ).

thf(3834,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ( ( SV214 != SV809 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV809 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3806]) ).

thf(3835,plain,
    ! [SV214: $i,SV810: $i,SV790: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV810 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3807]) ).

thf(3836,plain,
    ! [SV793: $i,SV763: $i] :
      ( ( ( SV763 = SV793 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV763 ) @ SV793 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV763 )
        = $false )
      | ( ( is_fun_pname_bool @ SV793 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3809]) ).

thf(3837,plain,
    ! [SV794: $i,SV764: $i] :
      ( ( ( SV764 = SV794 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV794 ) @ SV764 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV764 )
        = $false )
      | ( ( is_fun_pname_bool @ SV794 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3810]) ).

thf(3838,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
          | ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3811]) ).

thf(3839,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3812]) ).

thf(3840,plain,
    ! [SV219: $i,SV731: $i,SV702: $i] :
      ( ( ( ( insert_pname @ SV702 @ SV731 )
          = ( insert_pname @ SV702 @ SV219 ) )
        = $false )
      | ( ( SV731 = SV219 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV702 ) @ SV731 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV731 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3813]) ).

thf(3841,plain,
    ! [SV703: $i,SV219: $i,SV732: $i] :
      ( ( ( SV732 = SV219 )
        = $false )
      | ( ( ( insert_pname @ SV703 @ SV732 )
          = ( insert_pname @ SV703 @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV703 ) @ SV732 ) )
        = $true )
      | ( ( is_fun_pname_bool @ SV219 )
        = $false )
      | ( ( is_fun_pname_bool @ SV732 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3814]) ).

thf(3842,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) ) @ SV734 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3816]) ).

thf(3843,plain,
    ! [SV220: $i,SV705: $i,SV734: $i] :
      ( ( ( is_pname @ ( sK16_X_1 @ SV734 @ SV705 @ SV220 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ SV220 ) @ ( image_2003357581_state @ SV705 @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3817]) ).

thf(3844,plain,
    ! [SV828: $i,SV772: $i,SV198: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV772 @ SV828 ) ) )
        = $true )
      | ( ( SV198 = SV772 )
        = $false )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV772 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3818]) ).

thf(3845,plain,
    ! [SV773: $i,SV823: $i,SV198: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ SV823 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ SV198 ) @ ( insert_pname @ SV773 @ SV823 ) ) )
        = $true )
      | ( ( is_pname @ SV198 )
        = $false )
      | ( ( is_pname @ SV773 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3819]) ).

thf(3846,plain,
    ! [SV824: $i,SV819: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV819 @ ( insert1415133716_state @ SV824 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ( SV200 = SV819 )
          | ( SV200 = SV824 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3821]) ).

thf(3847,plain,
    ! [SV827: $i,SV820: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV820 @ ( insert1415133716_state @ SV827 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ( SV200 = SV820 )
          | ( SV387 = SV820 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3822]) ).

thf(3848,plain,
    ! [SV825: $i,SV821: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV821 @ ( insert1415133716_state @ SV825 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ( SV387 = SV825 )
          | ( SV200 = SV825 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3823]) ).

thf(3849,plain,
    ! [SV826: $i,SV822: $i,SV387: $i,SV200: $i] :
      ( ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV822 @ ( insert1415133716_state @ SV826 @ bot_bo620288102e_bool ) ) )
        = $false )
      | ( ( ( SV387 = SV826 )
          | ( SV387 = SV822 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3824]) ).

thf(3850,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3827]) ).

thf(3851,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3827]) ).

thf(3852,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(3853,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(3854,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(3855,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(3856,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3830]) ).

thf(3857,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3830]) ).

thf(3858,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3831]) ).

thf(3859,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3831]) ).

thf(3860,plain,
    ! [SV789: $i,SV809: $i,SV214: $i] :
      ( ( ( SV214 = SV809 )
        = $false )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV789 ) @ SV809 ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV809 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3834]) ).

thf(3861,plain,
    ! [SV214: $i,SV810: $i,SV790: $i] :
      ( ( ( hBOOL @ ( hAPP_pname_bool @ SV790 @ SV810 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_pname_bool @ ( insert_pname @ SV214 @ SV790 ) @ SV810 ) )
        = $true )
      | ( ( is_pname @ SV214 )
        = $false )
      | ( ( is_pname @ SV810 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3835]) ).

thf(3862,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3838]) ).

thf(3863,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3838]) ).

thf(3864,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3839]) ).

thf(3865,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
                | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3839]) ).

thf(3866,plain,
    ! [SV387: $i,SV824: $i,SV819: $i,SV200: $i] :
      ( ( ( SV200 = SV819 )
        = $true )
      | ( ( SV200 = SV824 )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV819 @ ( insert1415133716_state @ SV824 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3846]) ).

thf(3867,plain,
    ! [SV827: $i,SV387: $i,SV820: $i,SV200: $i] :
      ( ( ( SV200 = SV820 )
        = $true )
      | ( ( SV387 = SV820 )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV820 @ ( insert1415133716_state @ SV827 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3847]) ).

thf(3868,plain,
    ! [SV821: $i,SV200: $i,SV825: $i,SV387: $i] :
      ( ( ( SV387 = SV825 )
        = $true )
      | ( ( SV200 = SV825 )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV821 @ ( insert1415133716_state @ SV825 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3848]) ).

thf(3869,plain,
    ! [SV200: $i,SV822: $i,SV826: $i,SV387: $i] :
      ( ( ( SV387 = SV826 )
        = $true )
      | ( ( SV387 = SV822 )
        = $true )
      | ( ( ( insert1415133716_state @ SV200 @ ( insert1415133716_state @ SV387 @ bot_bo620288102e_bool ) )
          = ( insert1415133716_state @ SV822 @ ( insert1415133716_state @ SV826 @ bot_bo620288102e_bool ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3849]) ).

thf(3870,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ SV388 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3850]) ).

thf(3871,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3851]) ).

thf(3872,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( is_fun_pname_bool @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3852]) ).

thf(3873,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( is_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3853]) ).

thf(3874,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3854]) ).

thf(3875,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
              | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3855]) ).

thf(3876,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) ) @ SV390 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3856]) ).

thf(3877,plain,
    ! [SV203: $i,SV390: $i,SV478: $i] :
      ( ( ( is_fun_pname_bool @ ( sK1_C @ SV478 @ SV390 @ SV203 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV478 ) @ ( image_2003357581_state @ SV203 @ SV390 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV478 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3857]) ).

thf(3878,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ SV391 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3858]) ).

thf(3879,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3859]) ).

thf(3880,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( is_fun1661590463l_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3862]) ).

thf(3881,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( is_fun_pname_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3863]) ).

thf(3882,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3864]) ).

thf(3883,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
              | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3865]) ).

thf(3884,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3871]) ).

thf(3885,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3875]) ).

thf(3886,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3879]) ).

thf(3887,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
          | ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3883]) ).

thf(3888,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(3889,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(3890,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3885]) ).

thf(3891,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3885]) ).

thf(3892,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3886]) ).

thf(3893,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3886]) ).

thf(3894,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3887]) ).

thf(3895,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3887]) ).

thf(3896,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3888]) ).

thf(3897,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3889]) ).

thf(3898,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ SV389 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3890]) ).

thf(3899,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3891]) ).

thf(3900,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3892]) ).

thf(3901,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3893]) ).

thf(3902,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ SV392 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3894]) ).

thf(3903,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3895]) ).

thf(3904,plain,
    ! [SV201: $i,SV388: $i,SV476: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_H30606679l_bool @ member1338687867_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3896]) ).

thf(3905,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3897]) ).

thf(3906,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3899]) ).

thf(3907,plain,
    ! [SV207: $i,SV391: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f210337421l_bool @ member2114907555e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3900]) ).

thf(3908,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3901]) ).

thf(3909,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3903]) ).

thf(3910,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3905]) ).

thf(3911,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3905]) ).

thf(3912,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3906]) ).

thf(3913,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3906]) ).

thf(3914,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3908]) ).

thf(3915,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3908]) ).

thf(3916,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(3917,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(3918,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3910]) ).

thf(3919,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3911]) ).

thf(3920,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3912]) ).

thf(3921,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3913]) ).

thf(3922,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3914]) ).

thf(3923,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3915]) ).

thf(3924,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3916]) ).

thf(3925,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3917]) ).

thf(3926,plain,
    ! [SV388: $i,SV476: $i,SV201: $i] :
      ( ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ ( insert1415133716_state @ ( sK9_A_1 @ SV476 @ SV388 @ SV201 ) @ ( sK10_SY2603 @ SV476 @ SV388 @ SV201 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ SV476 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ SV201 @ bot_bo620288102e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ ( hAPP_f72706945l_bool @ ord_le1285840794e_bool @ SV476 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f971112728l_bool @ finite364844667_state @ SV476 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3919]) ).

thf(3927,plain,
    ! [SV202: $i,SV389: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3920]) ).

thf(3928,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3921]) ).

thf(3929,plain,
    ! [SV391: $i,SV479: $i,SV207: $i] :
      ( ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ ( insert1556680138e_bool @ ( sK5_A_1 @ SV479 @ SV391 @ SV207 ) @ ( sK6_SY2601 @ SV479 @ SV391 @ SV207 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ SV479 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ SV207 @ bot_bo535777328l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ ( hAPP_f585161855l_bool @ ord_le287025148l_bool @ SV479 ) @ SV391 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f166538662l_bool @ finite464017571e_bool @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3923]) ).

thf(3930,plain,
    ! [SV216: $i,SV392: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f556039215l_bool @ member799430823e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3924]) ).

thf(3931,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3925]) ).

thf(3932,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(3933,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(3934,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3931]) ).

thf(3935,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3931]) ).

thf(3936,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3932]) ).

thf(3937,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3933]) ).

thf(3938,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3934]) ).

thf(3939,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3935]) ).

thf(3940,plain,
    ! [SV389: $i,SV477: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ ( insert_pname @ ( sK11_A_1 @ SV477 @ SV389 @ SV202 ) @ ( sK12_SY2604 @ SV477 @ SV389 @ SV202 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ SV477 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ SV202 @ bot_bo844097828e_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_f434788991l_bool @ ord_le313189616e_bool @ SV477 ) @ SV389 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1664156314l_bool @ finite_finite_pname @ SV477 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3937]) ).

thf(3941,plain,
    ! [SV392: $i,SV480: $i,SV216: $i] :
      ( ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ ( insert1325755072e_bool @ ( sK7_A_1 @ SV480 @ SV392 @ SV216 ) @ ( sK8_SY2602 @ SV480 @ SV392 @ SV216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ SV480 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ SV216 @ bot_bo1649642514l_bool ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ ( hAPP_f510955609l_bool @ ord_le675606854l_bool @ SV480 ) @ SV392 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1935102916l_bool @ finite595471783e_bool @ SV480 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3939]) ).

thf(3942,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[974,3941,3940,3938,3936,3930,3929,3927,3926,3922,3918,3907,3904,3902,3898,3882,3881,3880,3878,3877,3876,3874,3873,3872,3870,3869,3868,3867,3866,3861,3860,3845,3844,3843,3842,3841,3840,3837,3836,3833,3832,3826,3825,3820,3815,3808,3805,3802,3800,3799,3794,3786,3783,3782,3777,3768,3767,3744,3738,3737,3732,3731,3727,3726,3723,3720,3719,3716,3715,3701,3700,3699,3698,3697,3696,3694,3693,3687,3686,3684,3683,3674,3670,3669,3666,3665,3663,3662,3660,3659,3653,3652,3651,3649,3647,3646,3645,3640,3631,3630,3629,3628,3627,3619,3618,3617,3616,3615,3612,3604,3603,3583,3580,3577,3570,3569,3564,3561,3560,3552,3539,3538,3536,3535,3532,3524,3508,3507,3504,3501,3494,3493,3489,3476,3475,3460,3458,3457,3455,3454,3452,3451,3450,3449,3448,3447,3444,3443,3437,3436,3435,3431,3430,3423,3421,3420,3416,3415,3412,3410,3409,3402,3398,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3377,3371,3370,3361,3360,3357,3356,3352,3348,3338,3336,3329,3328,3327,3326,3319,3318,3317,3316,3309,3308,3303,3302,3288,3287,3285,3278,3277,3264,3263,3253,3252,3249,3248,3238,3234,3226,3225,3224,3223,3220,3219,3218,3208,3207,3206,3205,3204,3203,3202,3201,3189,3188,3187,3186,3181,3180,3179,3178,3177,3176,3175,3174,3173,3172,3171,3170,3169,3168,3167,3166,3165,3164,3163,3162,3161,3160,3159,3158,3157,3156,3154,3148,3146,3127,3122,3111,3108,3057,3049,3047,3014,3009,3004,2995,2991,2990,2982,2981,2980,2979,2978,2977,2976,2975,2974,2973,2972,2961,2944,2942,2940,2938,2893,2891,2883,2877,2867,2865,2859,2787,2772,2760,2733,2730,2729,2728,2727,2726,2725,2724,2714,2704,2703,2701,2700,2699,2698,2672,2670,2650,2649,2648,2647,2646,2645,2644,2643,2642,2641,2640,2639,2467,2466,2465,2464,2463,2462,2460,2457,2455,2454,2453,2452,2450,2433,2431,2428,2427,2426,2425,2414,2349,2348,2347,2346,2345,2344,2343,2342,2341,2340,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2326,2325,2324,2319,2152,2151,2150,2149,2148,2147,2145,2134,2126,2122,2108,2107,2089,1996,1995,1994,1993,1992,1991,1810,1802,1801,1783,1768,1767,1766,1765,1764,1758,1757,1756,1755,1727,1726,1725,1724,1650,1561,1541,1530,1529,1510,1501,1500,1400,1399,1398,1397,1365,1364,1362,1243,1137,1029,1028,1027,1026,1025,1024,980,979,978,976,975]) ).

thf(3943,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3942]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% 0.02/0.10  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jun  6 02:56:34 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.40  ..........
% 0.41/0.60  
% 0.41/0.60   No.of.Axioms: 427
% 0.41/0.60  
% 0.41/0.60   Length.of.Defs: 0
% 0.41/0.60  
% 0.41/0.60   Contains.Choice.Funs: false
% 0.49/0.70  ......................
% 0.59/0.78  (rf:2,axioms:144,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:429,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................................................eprover: CPU time limit exceeded, terminating
% 75.11/75.36  ...........ignored arguments false
% 75.41/75.63  ..........
% 75.57/75.84  (rf:0,axioms:427,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:429,loop_count:0,foatp_calls:0,translation:fof_full)...........................................................................................................................................................................................................................................................................................eprover: CPU time limit exceeded, terminating
% 149.73/150.02  ........................................................
% 150.44/150.68  (rf:2,axioms:144,ps:0,u:1,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:429,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................................................eprover: CPU time limit exceeded, terminating
% 224.98/225.28  ..............................
% 225.58/225.83  (rf:-1,axioms:301,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:429,loop_count:0,foatp_calls:0,translation:fof_full).........................................................................................................................................................................................................................................................
% 289.53/289.85  
% 289.53/289.85  ********************************
% 289.53/289.85  *   All subproblems solved!    *
% 289.53/289.85  ********************************
% 289.53/289.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:301,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3942,loop_count:0,foatp_calls:1,translation:fof_full)
% 294.61/294.90  
% 294.61/294.90  %**** Beginning of derivation protocol ****
% 294.61/294.90  % SZS output start CNFRefutation
% See solution above
% 294.61/294.93  
% 294.61/294.93  %**** End of derivation protocol ****
% 294.61/294.93  %**** no. of clauses in derivation: 3817 ****
% 294.61/294.93  %**** clause counter: 3942 ****
% 294.61/294.93  
% 294.61/294.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:301,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3942,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------