TSTP Solution File: SCT171+2 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SCT171+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.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 : Mon Jul 18 21:38:31 EDT 2022

% Result   : Theorem 1.09s 1.25s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  888
% Syntax   : Number of formulae    : 9452 (1552 unt;   0 def)
%            Number of atoms       : 35389 (7237 equ)
%            Maximal formula atoms :  190 (   3 avg)
%            Number of connectives : 44397 (18460   ~;22864   |; 737   &)
%                                         ( 358 <=>;1978  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   5 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :  636 ( 636 usr; 152 con; 0-6 aty)
%            Number of variables   : 23327 (1077 sgn5977   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( X12 != X11
           => ( X13 != X10
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
               => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                     => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
    file('<stdin>',fact_7__C1_C) ).

fof(c_0_1,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( X12 != X11
           => ( X13 != X10
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
               => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
    file('<stdin>',fact_6__C2_C) ).

fof(c_0_2,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
           => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
             => ( ! [X14] :
                    ( is_Arr859726945e_indi(X14)
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
               => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ),
    file('<stdin>',fact_9_pairwise__neutrality) ).

fof(c_0_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    file('<stdin>',fact_182__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).

fof(c_0_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    file('<stdin>',fact_72__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk) ).

fof(c_0_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    file('<stdin>',fact_14_PW) ).

fof(c_0_6,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    file('<stdin>',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

fof(c_0_7,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    file('<stdin>',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

fof(c_0_8,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    file('<stdin>',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

fof(c_0_9,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    file('<stdin>',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).

fof(c_0_10,axiom,
    ~ ! [X78] :
        ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
       => ( ! [X29] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
         => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ) ),
    file('<stdin>',fact_228__096_B_Bthesis_O_A_I_B_Bn_O_A_091_124_An_A_060_AN_059_AALL_Am_060_061n_) ).

fof(c_0_11,axiom,
    ? [X78] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
      & ! [X29] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
      & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ),
    file('<stdin>',fact_227__096EX_An_060N_O_A_IALL_Am_060_061n_O_Ab_A_060_092_060_094bsub_062F_A_I) ).

fof(c_0_12,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    file('<stdin>',fact_181_n_I3_J) ).

fof(c_0_13,axiom,
    ! [X23] :
      ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X23))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => ! [X25] :
              ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X25),arrow_583275979e_Prof))
             => ! [X17,X18] :
                  ( ( is_Arr723427730le_alt(X17)
                    & is_Arr723427730le_alt(X18) )
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X25,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X25))) ) ) ) ) ) ),
    file('<stdin>',fact_23_IIA__def) ).

fof(c_0_14,axiom,
    ! [X8,X9,X15,X12,X13] :
      ( ( is_Arr723427730le_alt(X15)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X13 != X15
         => ( X12 != X15
           => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
               => ( ! [X14] :
                      ( is_Arr859726945e_indi(X14)
                     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                      <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_A340536322t_bool(X8,X14))) ) )
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ),
    file('<stdin>',fact_8__C4_C) ).

fof(c_0_15,axiom,
    ! [X29] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),n))
     => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) ),
    file('<stdin>',fact_84_n_I2_J) ).

fof(c_0_16,axiom,
    ! [X26] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X26))),lab)),lba)),arrow_583275979e_Prof)),
    file('<stdin>',fact_80_PiProf) ).

fof(c_0_17,axiom,
    ! [X8,X9,X12,X13] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
         => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
           => ( ! [X14] :
                  ( is_Arr859726945e_indi(X14)
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_A340536322t_bool(X8,X14))) ) )
             => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
              <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ),
    file('<stdin>',fact_10__C3_C) ).

fof(c_0_18,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X73)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X72)))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
    file('<stdin>',fact_405_pred__subset__eq2) ).

fof(c_0_19,axiom,
    ! [X75,X221] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
    file('<stdin>',fact_681_card__less__Suc) ).

fof(c_0_20,axiom,
    ! [X14] :
      ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ) ) ),
    file('<stdin>',fact_183__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am) ).

fof(c_0_21,axiom,
    ! [X23] :
      ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X23))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => ! [X17,X18] :
              ( ( is_Arr723427730le_alt(X17)
                & is_Arr723427730le_alt(X18) )
             => ( ! [X14] :
                    ( is_Arr859726945e_indi(X14)
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14))) )
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) ),
    file('<stdin>',fact_24_unanimity__def) ).

fof(c_0_22,axiom,
    ! [X14] :
      ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ) ) ),
    file('<stdin>',fact_83__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk) ).

fof(c_0_23,axiom,
    ! [X14] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X14)))
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) ) ),
    file('<stdin>',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).

fof(c_0_24,axiom,
    ! [X76,X81,X74,X71] :
      ( ! [X215] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X215),X71))
         => ( hBOOL(hAPP_P1813625415t_bool(X74,X215))
          <=> hBOOL(hAPP_P1813625415t_bool(X81,X215)) ) )
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
      <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X81),pi_Pro1873779901t_bool(X71,X76))) ) ),
    file('<stdin>',fact_580_Pi__cong) ).

fof(c_0_25,axiom,
    ! [X200,X206,X74] :
      ( ! [X29,X78] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X78))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X29)),hAPP_nat_nat(X74,X78))) )
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X74,X200)),X206)),hAPP_nat_nat(X74,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206)))) ),
    file('<stdin>',fact_568_mono__nat__linear__lb) ).

fof(c_0_26,axiom,
    ! [X75,X221] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
    file('<stdin>',fact_683_card__less__Suc2) ).

fof(c_0_27,axiom,
    ! [X72,X73] :
      ( ( is_fun20916972t_bool(X72)
        & is_fun20916972t_bool(X73) )
     => ( ! [X24,X25] :
            ( ( is_Arr723427730le_alt(X24)
              & is_Arr723427730le_alt(X25) )
           => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X73))
            <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X72)) ) )
      <=> X73 = X72 ) ),
    file('<stdin>',fact_180_pred__equals__eq2) ).

fof(c_0_28,axiom,
    ! [X75,X212,X74] :
      ( ! [X14,X213] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X213))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X14)),hAPP_nat_nat(X74,X213))) )
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X74,X75)),hAPP_nat_nat(X74,X212))) ) ),
    file('<stdin>',fact_569_less__mono__imp__le__mono) ).

fof(c_0_29,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X76,X24)),hAPP_f1895971544l_bool(X195,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X71,X195))) ),
    file('<stdin>',fact_503_Pi__mono) ).

fof(c_0_30,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X76,X24)),hAPP_A659996934l_bool(X195,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X71,X195))) ),
    file('<stdin>',fact_502_Pi__mono) ).

fof(c_0_31,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X76,X24)),hAPP_P1122857141l_bool(X195,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X71,X195))) ),
    file('<stdin>',fact_501_Pi__mono) ).

fof(c_0_32,axiom,
    ! [X4,X5,X6,X12,X13] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X12),X13)))
          <=> ( X4 != X5
              & ( X4 = X13
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X5)),X6)) )
              & ( X4 != X13
               => ( ( X5 = X13
                   => ( X4 = X12
                      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X12)),X6)) ) )
                  & ( X5 != X13
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
    file('<stdin>',fact_179_in__above) ).

fof(c_0_33,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
    file('<stdin>',fact_585_Pi__I_H) ).

fof(c_0_34,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
    file('<stdin>',fact_584_Pi__I_H) ).

fof(c_0_35,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
    file('<stdin>',fact_583_Pi__I_H) ).

fof(c_0_36,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
    file('<stdin>',fact_391_Pi__I) ).

fof(c_0_37,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
    file('<stdin>',fact_390_Pi__I) ).

fof(c_0_38,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
    file('<stdin>',fact_389_Pi__I) ).

fof(c_0_39,axiom,
    ! [X4,X5,X6,X12,X13] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),arrow_207701375_below(X6,X12,X13)))
          <=> ( X4 != X5
              & ( X5 = X12
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X13)),X6)) )
              & ( X5 != X12
               => ( ( X4 = X12
                   => ( X5 = X13
                      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X5)),X6)) ) )
                  & ( X4 != X12
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
    file('<stdin>',fact_523_in__below) ).

fof(c_0_40,axiom,
    ! [X76,X74,X81,X71] :
      ( ! [X215] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X215),X71))
         => hAPP_f1817389232t_bool(X74,X215) = hAPP_f1817389232t_bool(X81,X215) )
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
      <=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X71,X76))) ) ),
    file('<stdin>',fact_582_Pi__cong) ).

fof(c_0_41,axiom,
    ! [X76,X74,X81,X71] :
      ( ! [X215] :
          ( is_Arr859726945e_indi(X215)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X215),X71))
           => hAPP_A340536322t_bool(X74,X215) = hAPP_A340536322t_bool(X81,X215) ) )
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
      <=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X71,X76))) ) ),
    file('<stdin>',fact_581_Pi__cong) ).

fof(c_0_42,axiom,
    ! [X75,X23] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X23),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
     => ( ! [X24] :
            ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
           => ! [X17,X18] :
                ( ( is_Arr723427730le_alt(X17)
                  & is_Arr723427730le_alt(X18) )
               => ( X17 != X18
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X75)))
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) )
       => hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75)) ) ),
    file('<stdin>',fact_188_dictatorI) ).

fof(c_0_43,axiom,
    ! [X75,X221] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) != zero_zero_nat ),
    file('<stdin>',fact_682_card__less) ).

fof(c_0_44,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),X76)) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76)))) ),
    file('<stdin>',fact_578_funcsetI) ).

fof(c_0_45,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),X76)) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76)))) ),
    file('<stdin>',fact_577_funcsetI) ).

fof(c_0_46,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),X76)) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76)))) ),
    file('<stdin>',fact_576_funcsetI) ).

fof(c_0_47,axiom,
    ! [X216,X74] :
      ( ! [X78] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X78),hAPP_nat_nat(X74,X78)))
     => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X74)),X216)))) ),
    file('<stdin>',fact_609_finite__less__ub) ).

fof(c_0_48,axiom,
    ! [X4,X5,X6] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
       => ( X4 != X5
         => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6))
          <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),X6)) ) ) ) ),
    file('<stdin>',fact_85_notin__Lin__iff) ).

fof(c_0_49,axiom,
    ! [X12,X13,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X6))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),X6)) ) ),
    file('<stdin>',fact_86_Lin__irrefl) ).

fof(c_0_50,axiom,
    ! [X4,X5,X6,X7] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X7) )
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X7)))
      <=> ( X4 != X7
          & ( X5 = X7
           => X4 != X5 )
          & ( X5 != X7
           => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
    file('<stdin>',fact_5_in__mktop) ).

fof(c_0_51,axiom,
    ! [X4,X5,X6,X7] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X7) )
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X7)))
      <=> ( X5 != X7
          & ( X4 = X7
           => X4 != X5 )
          & ( X4 != X7
           => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
    file('<stdin>',fact_4_in__mkbot) ).

fof(c_0_52,axiom,
    ! [X74,X81] :
      ( ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24)))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81)) ),
    file('<stdin>',fact_436_le__funI) ).

fof(c_0_53,axiom,
    ! [X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
    <=> ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24))) ),
    file('<stdin>',fact_266_le__fun__def) ).

fof(c_0_54,axiom,
    ! [X9,X75] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X9),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))),
    file('<stdin>',fact_606_finite__M__bounded__by__nat) ).

fof(c_0_55,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
       => ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X81),pi_fun328162388t_bool(X76,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X71))))
         => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X81),X76))
           => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X71))
             => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
               => finite1524925796t_bool(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
    file('<stdin>',fact_600_card__bij) ).

fof(c_0_56,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
       => ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X81),pi_fun596906370e_indi(X76,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X71))))
         => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X81),X76))
           => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X71))
             => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
               => finite354462354e_indi(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
    file('<stdin>',fact_599_card__bij) ).

fof(c_0_57,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
       => ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X81),pi_boo1542163389le_alt(X76,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X71))))
         => ( hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X81),X76))
           => ( hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X71))
             => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
               => finite1044330389le_alt(X71) = finite_card_bool(X76) ) ) ) ) ) ),
    file('<stdin>',fact_598_card__bij) ).

fof(c_0_58,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X74),pi_fun328162388t_bool(X71,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X76))))
     => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X74),X71))
       => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X76,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X71))))
         => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X81),X76))
           => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
             => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X76))
               => finite945540987t_bool(X71) = finite1524925796t_bool(X76) ) ) ) ) ) ),
    file('<stdin>',fact_597_card__bij) ).

fof(c_0_59,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X76))))
     => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X74),X71))
       => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X76,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X71))))
         => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X81),X76))
           => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
             => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X76))
               => finite945540987t_bool(X71) = finite354462354e_indi(X76) ) ) ) ) ) ),
    file('<stdin>',fact_596_card__bij) ).

fof(c_0_60,axiom,
    ! [X6,X4,X5] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( X4 != X5
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X4),X5)),arrow_912654623le_Lin)) ) ) ),
    file('<stdin>',fact_89_above__Lin) ).

fof(c_0_61,axiom,
    ! [X71,X206] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71)))))
     => X71 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71))) ),
    file('<stdin>',fact_699_subset__card__intvl__is__intvl) ).

fof(c_0_62,axiom,
    ! [X206,X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
    file('<stdin>',fact_563_nat__add__left__cancel__le) ).

fof(c_0_63,axiom,
    ! [X206,X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    file('<stdin>',fact_548_nat__add__left__cancel__less) ).

fof(c_0_64,axiom,
    ! [X12,X15,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
    file('<stdin>',fact_435_add__less__cancel__right) ).

fof(c_0_65,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
    file('<stdin>',fact_434_add__less__cancel__left) ).

fof(c_0_66,axiom,
    ! [X182,X183,X184] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X182),X183)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X184),X183)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X182),X184)) ),
    file('<stdin>',fact_430_add__less__imp__less__right) ).

fof(c_0_67,axiom,
    ! [X179,X180,X181] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X180)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X181)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X180),X181)) ),
    file('<stdin>',fact_429_add__less__imp__less__left) ).

fof(c_0_68,axiom,
    ! [X12,X15,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
    file('<stdin>',fact_428_add__le__cancel__right) ).

fof(c_0_69,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
    file('<stdin>',fact_427_add__le__cancel__left) ).

fof(c_0_70,axiom,
    ! [X166,X167,X168] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X166),X167)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X168),X167)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X166),X168)) ),
    file('<stdin>',fact_423_add__le__imp__le__right) ).

fof(c_0_71,axiom,
    ! [X163,X164,X165] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X164)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X165)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X164),X165)) ),
    file('<stdin>',fact_422_add__le__imp__le__left) ).

fof(c_0_72,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X73)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X72)))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
    file('<stdin>',fact_500_pred__subset__eq) ).

fof(c_0_73,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X73)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X72)))
    <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X73),X72)) ),
    file('<stdin>',fact_499_pred__subset__eq) ).

fof(c_0_74,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X73)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X72)))
    <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X73),X72)) ),
    file('<stdin>',fact_498_pred__subset__eq) ).

fof(c_0_75,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X73)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X72)))
    <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X73),X72)) ),
    file('<stdin>',fact_497_pred__subset__eq) ).

fof(c_0_76,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X73)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X72)))
    <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X73),X72)) ),
    file('<stdin>',fact_496_pred__subset__eq) ).

fof(c_0_77,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X73)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X72)))
    <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X73),X72)) ),
    file('<stdin>',fact_495_pred__subset__eq) ).

fof(c_0_78,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X73)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X72)))
    <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X73),X72)) ),
    file('<stdin>',fact_494_pred__subset__eq) ).

fof(c_0_79,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X73)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X72)))
    <=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X73),X72)) ),
    file('<stdin>',fact_493_pred__subset__eq) ).

fof(c_0_80,axiom,
    ! [X198,X210,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X210))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
    file('<stdin>',fact_567_add__le__mono) ).

fof(c_0_81,axiom,
    ! [X198,X210,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
    file('<stdin>',fact_552_add__less__mono) ).

fof(c_0_82,axiom,
    ! [X185,X186,X187,X188] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X187),X188))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X185),X186))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X187),X185)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X188),X186))) ) ),
    file('<stdin>',fact_431_add__strict__mono) ).

fof(c_0_83,axiom,
    ! [X169,X170,X171,X172] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X171),X172))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X170))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X171),X169)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X172),X170))) ) ),
    file('<stdin>',fact_424_add__mono) ).

fof(c_0_84,axiom,
    ! [X145,X146,X147,X148] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X147),X148))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X145),X146))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X147),X145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X148),X146))) ) ),
    file('<stdin>',fact_396_add__le__less__mono) ).

fof(c_0_85,axiom,
    ! [X141,X142,X143,X144] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X143),X144))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X141),X142))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X143),X141)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X144),X142))) ) ),
    file('<stdin>',fact_395_add__less__le__mono) ).

fof(c_0_86,axiom,
    ! [X9,X75,X212] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
     => ( hBOOL(hAPP_nat_bool(X9,X212))
       => ( ! [X14] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X212))
             => ( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X14)))
               => hBOOL(hAPP_nat_bool(X9,X14)) ) )
         => hBOOL(hAPP_nat_bool(X9,X75)) ) ) ),
    file('<stdin>',fact_684_inc__induct) ).

fof(c_0_87,axiom,
    ! [X73,X4,X5] :
      ( hBOOL(in_rel1361124802le_alt(X73,X4,X5))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X73)) ),
    file('<stdin>',fact_575_in__rel__def) ).

fof(c_0_88,axiom,
    ! [X207,X208,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X198))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198)) ),
    file('<stdin>',fact_554_add__lessD1) ).

fof(c_0_89,axiom,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ),
    file('<stdin>',fact_526_add__leD2) ).

fof(c_0_90,axiom,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    file('<stdin>',fact_525_add__leD1) ).

fof(c_0_91,axiom,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
         => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ) ),
    file('<stdin>',fact_524_add__leE) ).

fof(c_0_92,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),X76)) ) ),
    file('<stdin>',fact_379_funcset__mem) ).

fof(c_0_93,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),X76)) ) ),
    file('<stdin>',fact_378_funcset__mem) ).

fof(c_0_94,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),X76)) ) ),
    file('<stdin>',fact_377_funcset__mem) ).

fof(c_0_95,axiom,
    ! [X6,X4,X5] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( X4 != X5
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X6,X4,X5)),arrow_912654623le_Lin)) ) ) ),
    file('<stdin>',fact_544_below__Lin) ).

fof(c_0_96,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
    file('<stdin>',fact_566_add__le__mono1) ).

fof(c_0_97,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
    file('<stdin>',fact_551_add__less__mono1) ).

fof(c_0_98,axiom,
    ! [X192,X193,X194] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X193),X194))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X193),X192)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X194),X192))) ),
    file('<stdin>',fact_433_add__strict__right__mono) ).

fof(c_0_99,axiom,
    ! [X189,X190,X191] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X190),X191))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X190)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X191))) ),
    file('<stdin>',fact_432_add__strict__left__mono) ).

fof(c_0_100,axiom,
    ! [X176,X177,X178] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X178))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X177),X176)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X178),X176))) ),
    file('<stdin>',fact_426_add__right__mono) ).

fof(c_0_101,axiom,
    ! [X173,X174,X175] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X174),X175))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X174)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X175))) ),
    file('<stdin>',fact_425_add__left__mono) ).

fof(c_0_102,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    file('<stdin>',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).

fof(c_0_103,axiom,
    ! [X74,X81,X71] :
      ( ! [X17] :
          ( is_Arr859726945e_indi(X17)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X17),X71))
           => hAPP_A1895296483di_nat(X74,X17) = hAPP_A1895296483di_nat(X81,X17) ) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
      <=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X81),X71)) ) ),
    file('<stdin>',fact_594_inj__on__cong) ).

fof(c_0_104,axiom,
    ! [X74,X81,X71] :
      ( ! [X17] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X17),X71))
         => hAPP_nat_nat(X74,X17) = hAPP_nat_nat(X81,X17) )
     => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
      <=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X81),X71)) ) ),
    file('<stdin>',fact_593_inj__on__cong) ).

fof(c_0_105,axiom,
    ! [X208,X207] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X207)),X207)),
    file('<stdin>',fact_547_not__add__less2) ).

fof(c_0_106,axiom,
    ! [X207,X208] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X207)),
    file('<stdin>',fact_546_not__add__less1) ).

fof(c_0_107,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
       => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X71)),finite945540987t_bool(X76))) ) ) ),
    file('<stdin>',fact_590_card__inj) ).

fof(c_0_108,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
       => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite945540987t_bool(X76))) ) ) ),
    file('<stdin>',fact_589_card__inj) ).

fof(c_0_109,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
       => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X71)),finite_card_bool(X76))) ) ) ),
    file('<stdin>',fact_588_card__inj) ).

fof(c_0_110,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite_card_nat(X76))) ) ) ),
    file('<stdin>',fact_587_card__inj) ).

fof(c_0_111,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X74),pi_nat_nat(X71,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X76))))
     => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
       => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X71)),finite_card_nat(X76))) ) ) ),
    file('<stdin>',fact_586_card__inj) ).

fof(c_0_112,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4))) ) ),
    file('<stdin>',fact_374_Pi__mem) ).

fof(c_0_113,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4))) ) ),
    file('<stdin>',fact_373_Pi__mem) ).

fof(c_0_114,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4))) ) ),
    file('<stdin>',fact_372_Pi__mem) ).

fof(c_0_115,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    file('<stdin>',fact_219_PiE) ).

fof(c_0_116,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    file('<stdin>',fact_218_PiE) ).

fof(c_0_117,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X74),pi_nat_Product_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X74,X4)),hAPP_n454528608t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    file('<stdin>',fact_217_PiE) ).

fof(c_0_118,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X74),pi_nat_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X74,X4)),hAPP_n1006566506l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    file('<stdin>',fact_216_PiE) ).

fof(c_0_119,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X74),pi_nat1476290531e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X74,X4)),hAPP_n1600508401i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    file('<stdin>',fact_215_PiE) ).

fof(c_0_120,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X74),pi_fun1012573681t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X74,X4)),hAPP_f649586561t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    file('<stdin>',fact_214_PiE) ).

fof(c_0_121,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X74),pi_fun568395771l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X74,X4)),hAPP_f812095627l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    file('<stdin>',fact_213_PiE) ).

fof(c_0_122,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X74,X4)),hAPP_f431432850i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    file('<stdin>',fact_212_PiE) ).

fof(c_0_123,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X74),pi_fun1390764464t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X74,X4)),hAPP_f1841347694t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    file('<stdin>',fact_211_PiE) ).

fof(c_0_124,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X74),pi_fun187048122l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X74,X4)),hAPP_f721327224l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    file('<stdin>',fact_210_PiE) ).

fof(c_0_125,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X74),pi_fun1353458625e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X74,X4)),hAPP_f783549695i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    file('<stdin>',fact_209_PiE) ).

fof(c_0_126,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X74),pi_fun623621634t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X74,X4)),hAPP_f1009478556t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    file('<stdin>',fact_208_PiE) ).

fof(c_0_127,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X74),pi_fun1236347660l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X74,X4)),hAPP_f591334822l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    file('<stdin>',fact_207_PiE) ).

fof(c_0_128,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X74),pi_fun268174099e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X74,X4)),hAPP_f1570138413i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    file('<stdin>',fact_206_PiE) ).

fof(c_0_129,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X74),pi_Pro269694131t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X74,X4)),hAPP_P822772139t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    file('<stdin>',fact_205_PiE) ).

fof(c_0_130,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X74),pi_Pro58544964e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X74,X4)),hAPP_P957402556i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    file('<stdin>',fact_204_PiE) ).

fof(c_0_131,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X74),pi_Product_unit_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X74,X4)),hAPP_P32877782t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    file('<stdin>',fact_203_PiE) ).

fof(c_0_132,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X74),pi_bool_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X74,X4)),hAPP_b1013836512t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    file('<stdin>',fact_202_PiE) ).

fof(c_0_133,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X74,X4)),hAPP_A1948275303t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    file('<stdin>',fact_201_PiE) ).

fof(c_0_134,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X74),pi_Pro1925515229t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X74,X4)),hAPP_P288224245l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    file('<stdin>',fact_200_PiE) ).

fof(c_0_135,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X74),pi_boo1746012499t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X74,X4)),hAPP_b805997823l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    file('<stdin>',fact_199_PiE) ).

fof(c_0_136,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X74),pi_Pro831923248t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X74,X4)),hAPP_P1305865168l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    file('<stdin>',fact_198_PiE) ).

fof(c_0_137,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X74),pi_boo68262458t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X74,X4)),hAPP_b651754310l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    file('<stdin>',fact_197_PiE) ).

fof(c_0_138,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X74),pi_Arr742795713t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X74,X4)),hAPP_A955165183l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    file('<stdin>',fact_196_PiE) ).

fof(c_0_139,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X74),pi_Pro1114473858t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X74,X4)),hAPP_P667392034l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    file('<stdin>',fact_195_PiE) ).

fof(c_0_140,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X74),pi_boo679625100t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X74,X4)),hAPP_b1461182872l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    file('<stdin>',fact_194_PiE) ).

fof(c_0_141,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X74),pi_Arr656802323t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X74,X4)),hAPP_A701636433l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    file('<stdin>',fact_193_PiE) ).

fof(c_0_142,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X74),pi_Pro1208494515le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X74,X4)),hAPP_P401722323t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    file('<stdin>',fact_192_PiE) ).

fof(c_0_143,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X74),pi_boo1542163389le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X74,X4)),hAPP_b763490121t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    file('<stdin>',fact_191_PiE) ).

fof(c_0_144,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X74),pi_Arr1064242500le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X74,X4)),hAPP_A340536322t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    file('<stdin>',fact_190_PiE) ).

fof(c_0_145,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    file('<stdin>',fact_189_PiE) ).

fof(c_0_146,axiom,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    file('<stdin>',fact_79__096_Ib_M_Aa_J_A_126_058_ALab_096) ).

fof(c_0_147,axiom,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    file('<stdin>',fact_78__096_Ia_M_Ab_J_A_126_058_ALba_096) ).

fof(c_0_148,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X200))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ) ),
    file('<stdin>',fact_624_add__gr__0) ).

fof(c_0_149,axiom,
    ! [X4,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X4)),arrow_912654623le_Lin)) ),
    file('<stdin>',fact_88_mkbot__Lin) ).

fof(c_0_150,axiom,
    ! [X4,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X4)),arrow_912654623le_Lin)) ),
    file('<stdin>',fact_87_mktop__Lin) ).

fof(c_0_151,axiom,
    ! [X9,X200,X26] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
     => ( ( X200 = X26
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
       => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
           => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) ) ) ),
    file('<stdin>',fact_533_nat__less__cases) ).

fof(c_0_152,axiom,
    ! [X26,X9] :
      ( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( hBOOL(hAPP_nat_bool(X9,X26))
       => ? [X211] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X26))
            & ! [X14] :
                ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X14),X211))
               => ~ hBOOL(hAPP_nat_bool(X9,X14)) )
            & hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),one_one_nat))) ) ) ),
    file('<stdin>',fact_625_ex__least__nat__less) ).

fof(c_0_153,axiom,
    ! [X12,X13] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ? [X24] :
            ( is_fun20916972t_bool(X24)
            & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),arrow_912654623le_Lin))
            & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X24)) ) ) ),
    file('<stdin>',fact_220_complete__Lin) ).

fof(c_0_154,axiom,
    ! [X9] :
      ( ! [X16] : hBOOL(hAPP_P1813625415t_bool(X9,X16))
    <=> ! [X17,X18] :
          ( ( is_Arr723427730le_alt(X17)
            & is_Arr723427730le_alt(X18) )
         => hBOOL(hAPP_P1813625415t_bool(X9,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18))) ) ),
    file('<stdin>',fact_15_split__paired__All) ).

fof(c_0_155,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    file('<stdin>',fact_655_Suc__less__SucD) ).

fof(c_0_156,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),hAPP_nat_nat(suc,X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    file('<stdin>',fact_647_Suc__less__eq) ).

fof(c_0_157,axiom,
    ! [X26,X200] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),hAPP_nat_nat(suc,X200)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),X200)) ),
    file('<stdin>',fact_634_Suc__le__mono) ).

fof(c_0_158,axiom,
    ! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X197)))),
    file('<stdin>',fact_666_less__add__Suc1) ).

fof(c_0_159,axiom,
    ! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X207)))),
    file('<stdin>',fact_665_less__add__Suc2) ).

fof(c_0_160,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),X198))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198)) ) ),
    file('<stdin>',fact_652_less__trans__Suc) ).

fof(c_0_161,axiom,
    ! [X207,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198))
     => ~ ! [X213] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
           => X198 != hAPP_nat_nat(suc,X213) ) ),
    file('<stdin>',fact_691_Suc__lessE) ).

fof(c_0_162,axiom,
    ! [X200,X26] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
    file('<stdin>',fact_632_not__less__eq__eq) ).

fof(c_0_163,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( X200 = zero_zero_nat
        | ? [X213] :
            ( X200 = hAPP_nat_nat(suc,X213)
            & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X213),X26)) ) ) ),
    file('<stdin>',fact_671_less__Suc__eq__0__disj) ).

fof(c_0_164,axiom,
    ! [X4,X5,X74,X71] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
             => X4 = X5 ) ) ) ) ),
    file('<stdin>',fact_371_inj__onD) ).

fof(c_0_165,axiom,
    ! [X5,X4,X74,X71] :
      ( ( is_Arr859726945e_indi(X5)
        & is_Arr859726945e_indi(X4) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
           => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
            <=> X4 = X5 ) ) ) ) ),
    file('<stdin>',fact_369_inj__on__iff) ).

fof(c_0_166,axiom,
    ! [X4,X5,X74,X71] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( X4 != X5
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
             => hAPP_A1895296483di_nat(X74,X4) != hAPP_A1895296483di_nat(X74,X5) ) ) ) ) ),
    file('<stdin>',fact_367_inj__on__contraD) ).

fof(c_0_167,axiom,
    ! [X74,X71] :
      ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
    <=> ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => ! [X25] :
                ( is_Arr859726945e_indi(X25)
               => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X25),X71))
                 => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X25)
                   => X24 = X25 ) ) ) ) ) ),
    file('<stdin>',fact_365_inj__on__def) ).

fof(c_0_168,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X76)) )
     => hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76)) ),
    file('<stdin>',fact_511_subsetI) ).

fof(c_0_169,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X76)) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76)) ),
    file('<stdin>',fact_510_subsetI) ).

fof(c_0_170,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X71))
         => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X76)) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76)) ),
    file('<stdin>',fact_509_subsetI) ).

fof(c_0_171,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_fun20916972t_bool(X24)
         => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X76)) ) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76)) ),
    file('<stdin>',fact_508_subsetI) ).

fof(c_0_172,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X76)) )
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    file('<stdin>',fact_507_subsetI) ).

fof(c_0_173,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X76)) ) )
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
    file('<stdin>',fact_506_subsetI) ).

fof(c_0_174,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X71))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X76)) )
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
    file('<stdin>',fact_505_subsetI) ).

fof(c_0_175,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_bool(X24)
         => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X71))
           => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X76)) ) )
     => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76)) ),
    file('<stdin>',fact_504_subsetI) ).

fof(c_0_176,axiom,
    ! [X26,X9] :
      ( hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( ! [X78] :
            ( hBOOL(hAPP_nat_bool(X9,X78))
           => hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78))) )
       => hBOOL(hAPP_nat_bool(X9,X26)) ) ),
    file('<stdin>',fact_695_nat__induct) ).

fof(c_0_177,axiom,
    ! [X4,X5,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
           => X4 = X5 ) ) ) ),
    file('<stdin>',fact_370_inj__onD) ).

fof(c_0_178,axiom,
    ! [X5,X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
         => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
          <=> X4 = X5 ) ) ) ),
    file('<stdin>',fact_368_inj__on__iff) ).

fof(c_0_179,axiom,
    ! [X4,X5,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( X4 != X5
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
           => hAPP_nat_nat(X74,X4) != hAPP_nat_nat(X74,X5) ) ) ) ),
    file('<stdin>',fact_366_inj__on__contraD) ).

fof(c_0_180,axiom,
    ! [X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
    <=> ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => ! [X25] :
              ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X25),X71))
             => ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X25)
               => X24 = X25 ) ) ) ),
    file('<stdin>',fact_364_inj__on__def) ).

fof(c_0_181,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X150),X71))
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X150,X76))) ),
    file('<stdin>',fact_404_Pi__anti__mono) ).

fof(c_0_182,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X150),X71))
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X150,X76))) ),
    file('<stdin>',fact_403_Pi__anti__mono) ).

fof(c_0_183,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X150),X71))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X150,X76))) ),
    file('<stdin>',fact_402_Pi__anti__mono) ).

fof(c_0_184,axiom,
    ! [X4,X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
    file('<stdin>',fact_258_le__funD) ).

fof(c_0_185,axiom,
    ! [X4,X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
    file('<stdin>',fact_230_le__funE) ).

fof(c_0_186,axiom,
    ! [X26,X200] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
    file('<stdin>',fact_663_less__eq__Suc__le) ).

fof(c_0_187,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    file('<stdin>',fact_661_Suc__le__eq) ).

fof(c_0_188,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    file('<stdin>',fact_657_Suc__le__lessD) ).

fof(c_0_189,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    file('<stdin>',fact_654_Suc__lessD) ).

fof(c_0_190,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    file('<stdin>',fact_637_Suc__leD) ).

fof(c_0_191,axiom,
    ! [X205,X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    file('<stdin>',fact_573_termination__basic__simps_I1_J) ).

fof(c_0_192,axiom,
    ! [X202,X201,X205] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X205))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    file('<stdin>',fact_572_termination__basic__simps_I2_J) ).

fof(c_0_193,axiom,
    ! [X202,X201,X205] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X205))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    file('<stdin>',fact_571_termination__basic__simps_I4_J) ).

fof(c_0_194,axiom,
    ! [X205,X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    file('<stdin>',fact_570_termination__basic__simps_I3_J) ).

fof(c_0_195,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
    file('<stdin>',fact_565_trans__le__add2) ).

fof(c_0_196,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
    file('<stdin>',fact_564_trans__le__add1) ).

fof(c_0_197,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
    file('<stdin>',fact_550_trans__less__add2) ).

fof(c_0_198,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
    file('<stdin>',fact_549_trans__less__add1) ).

fof(c_0_199,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199))) ),
    file('<stdin>',fact_629_Suc__mono) ).

fof(c_0_200,axiom,
    ! [X26,X9] :
      ( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( hBOOL(hAPP_nat_bool(X9,X26))
       => ? [X211] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X26))
            & ! [X14] :
                ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X211))
               => ~ hBOOL(hAPP_nat_bool(X9,X14)) )
            & hBOOL(hAPP_nat_bool(X9,X211)) ) ) ),
    file('<stdin>',fact_626_ex__least__nat__le) ).

fof(c_0_201,axiom,
    ~ ! [X28] :
        ( is_fun20916972t_bool(X28)
       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),X28))
         => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X28),arrow_912654623le_Lin)) ) ),
    file('<stdin>',fact_82__096_B_Bthesis_O_A_I_B_BLba_O_A_091_124_Ab_A_060_092_060_094bsub_062Lba_) ).

fof(c_0_202,axiom,
    ~ ! [X27] :
        ( is_fun20916972t_bool(X27)
       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),X27))
         => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X27),arrow_912654623le_Lin)) ) ),
    file('<stdin>',fact_81__096_B_Bthesis_O_A_I_B_BLab_O_A_091_124_Aa_A_060_092_060_094bsub_062Lab_) ).

fof(c_0_203,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    file('<stdin>',fact_77__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).

fof(c_0_204,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    file('<stdin>',fact_76__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).

fof(c_0_205,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X208),X198))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X198)) ) ),
    file('<stdin>',fact_542_le__trans) ).

fof(c_0_206,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    file('<stdin>',fact_522_psubset__trans) ).

fof(c_0_207,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    file('<stdin>',fact_521_psubset__trans) ).

fof(c_0_208,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    file('<stdin>',fact_520_psubset__trans) ).

fof(c_0_209,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
    file('<stdin>',fact_519_psubsetD) ).

fof(c_0_210,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
    file('<stdin>',fact_518_psubsetD) ).

fof(c_0_211,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
    file('<stdin>',fact_517_psubsetD) ).

fof(c_0_212,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
    file('<stdin>',fact_516_psubsetD) ).

fof(c_0_213,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
    file('<stdin>',fact_515_psubsetD) ).

fof(c_0_214,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
    file('<stdin>',fact_514_psubsetD) ).

fof(c_0_215,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
    file('<stdin>',fact_513_psubsetD) ).

fof(c_0_216,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
    file('<stdin>',fact_512_psubsetD) ).

fof(c_0_217,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    file('<stdin>',fact_487_in__mono) ).

fof(c_0_218,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    file('<stdin>',fact_486_in__mono) ).

fof(c_0_219,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    file('<stdin>',fact_485_in__mono) ).

fof(c_0_220,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    file('<stdin>',fact_484_in__mono) ).

fof(c_0_221,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    file('<stdin>',fact_483_in__mono) ).

fof(c_0_222,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    file('<stdin>',fact_482_in__mono) ).

fof(c_0_223,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    file('<stdin>',fact_481_in__mono) ).

fof(c_0_224,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    file('<stdin>',fact_480_in__mono) ).

fof(c_0_225,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    file('<stdin>',fact_478_set__rev__mp) ).

fof(c_0_226,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    file('<stdin>',fact_477_set__rev__mp) ).

fof(c_0_227,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    file('<stdin>',fact_476_set__rev__mp) ).

fof(c_0_228,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    file('<stdin>',fact_475_set__rev__mp) ).

fof(c_0_229,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    file('<stdin>',fact_474_set__rev__mp) ).

fof(c_0_230,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    file('<stdin>',fact_473_set__rev__mp) ).

fof(c_0_231,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    file('<stdin>',fact_472_set__rev__mp) ).

fof(c_0_232,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    file('<stdin>',fact_471_set__rev__mp) ).

fof(c_0_233,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    file('<stdin>',fact_470_set__mp) ).

fof(c_0_234,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    file('<stdin>',fact_469_set__mp) ).

fof(c_0_235,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    file('<stdin>',fact_468_set__mp) ).

fof(c_0_236,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    file('<stdin>',fact_467_set__mp) ).

fof(c_0_237,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    file('<stdin>',fact_466_set__mp) ).

fof(c_0_238,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    file('<stdin>',fact_465_set__mp) ).

fof(c_0_239,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    file('<stdin>',fact_464_set__mp) ).

fof(c_0_240,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    file('<stdin>',fact_463_set__mp) ).

fof(c_0_241,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X195)) ) ),
    file('<stdin>',fact_462_subset__trans) ).

fof(c_0_242,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    file('<stdin>',fact_460_subset__psubset__trans) ).

fof(c_0_243,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    file('<stdin>',fact_459_subset__psubset__trans) ).

fof(c_0_244,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    file('<stdin>',fact_458_subset__psubset__trans) ).

fof(c_0_245,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    file('<stdin>',fact_457_psubset__subset__trans) ).

fof(c_0_246,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    file('<stdin>',fact_456_psubset__subset__trans) ).

fof(c_0_247,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    file('<stdin>',fact_455_psubset__subset__trans) ).

fof(c_0_248,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
    file('<stdin>',fact_445_subsetD) ).

fof(c_0_249,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
    file('<stdin>',fact_444_subsetD) ).

fof(c_0_250,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
    file('<stdin>',fact_443_subsetD) ).

fof(c_0_251,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
    file('<stdin>',fact_442_subsetD) ).

fof(c_0_252,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
    file('<stdin>',fact_441_subsetD) ).

fof(c_0_253,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
    file('<stdin>',fact_440_subsetD) ).

fof(c_0_254,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
    file('<stdin>',fact_439_subsetD) ).

fof(c_0_255,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
    file('<stdin>',fact_438_subsetD) ).

fof(c_0_256,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
    file('<stdin>',fact_339_xt1_I8_J) ).

fof(c_0_257,axiom,
    ! [X137,X138,X139] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X138),X139))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X138))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X139)) ) ),
    file('<stdin>',fact_338_xt1_I8_J) ).

fof(c_0_258,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    file('<stdin>',fact_337_xt1_I8_J) ).

fof(c_0_259,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    file('<stdin>',fact_336_xt1_I8_J) ).

fof(c_0_260,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    file('<stdin>',fact_335_xt1_I8_J) ).

fof(c_0_261,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
    file('<stdin>',fact_334_order__le__less__trans) ).

fof(c_0_262,axiom,
    ! [X134,X135,X136] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X135),X136))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X136),X134))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X135),X134)) ) ),
    file('<stdin>',fact_333_order__le__less__trans) ).

fof(c_0_263,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    file('<stdin>',fact_332_order__le__less__trans) ).

fof(c_0_264,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    file('<stdin>',fact_331_order__le__less__trans) ).

fof(c_0_265,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    file('<stdin>',fact_330_order__le__less__trans) ).

fof(c_0_266,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
    file('<stdin>',fact_329_xt1_I7_J) ).

fof(c_0_267,axiom,
    ! [X131,X132,X133] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X132),X133))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X131),X132))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X131),X133)) ) ),
    file('<stdin>',fact_328_xt1_I7_J) ).

fof(c_0_268,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    file('<stdin>',fact_327_xt1_I7_J) ).

fof(c_0_269,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    file('<stdin>',fact_326_xt1_I7_J) ).

fof(c_0_270,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    file('<stdin>',fact_325_xt1_I7_J) ).

fof(c_0_271,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
    file('<stdin>',fact_324_order__less__le__trans) ).

fof(c_0_272,axiom,
    ! [X128,X129,X130] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X130))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X130),X128))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X128)) ) ),
    file('<stdin>',fact_323_order__less__le__trans) ).

fof(c_0_273,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    file('<stdin>',fact_322_order__less__le__trans) ).

fof(c_0_274,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    file('<stdin>',fact_321_order__less__le__trans) ).

fof(c_0_275,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    file('<stdin>',fact_320_order__less__le__trans) ).

fof(c_0_276,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X7)) ) ),
    file('<stdin>',fact_239_order__trans) ).

fof(c_0_277,axiom,
    ! [X87,X88,X89] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X89))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X89),X87))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X87)) ) ),
    file('<stdin>',fact_238_order__trans) ).

fof(c_0_278,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X7)) ) ),
    file('<stdin>',fact_237_order__trans) ).

fof(c_0_279,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X4)) ) ),
    file('<stdin>',fact_233_xt1_I6_J) ).

fof(c_0_280,axiom,
    ! [X82,X83,X84] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X83),X84))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X83))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X84)) ) ),
    file('<stdin>',fact_232_xt1_I6_J) ).

fof(c_0_281,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X4)) ) ),
    file('<stdin>',fact_231_xt1_I6_J) ).

fof(c_0_282,axiom,
    ! [X37,X38,X39] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X39))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X37))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X37)) ) ),
    file('<stdin>',fact_103_order__less__trans) ).

fof(c_0_283,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    file('<stdin>',fact_102_order__less__trans) ).

fof(c_0_284,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    file('<stdin>',fact_101_order__less__trans) ).

fof(c_0_285,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    file('<stdin>',fact_100_order__less__trans) ).

fof(c_0_286,axiom,
    ! [X34,X35,X36] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X36))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X35))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X36)) ) ),
    file('<stdin>',fact_99_xt1_I10_J) ).

fof(c_0_287,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    file('<stdin>',fact_98_xt1_I10_J) ).

fof(c_0_288,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    file('<stdin>',fact_97_xt1_I10_J) ).

fof(c_0_289,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    file('<stdin>',fact_96_xt1_I10_J) ).

fof(c_0_290,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
      <=> X26 = X200 ) ),
    file('<stdin>',fact_658_le__less__Suc__eq) ).

fof(c_0_291,axiom,
    ! [X197,X199,X198,X210] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
     => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X210) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X198),X199)
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
    file('<stdin>',fact_553_less__add__eq__less) ).

fof(c_0_292,axiom,
    ! [X200,X26] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200))) ),
    file('<stdin>',fact_645_not__less__eq) ).

fof(c_0_293,axiom,
    ! [X26,X209] :
      ( ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X26)) )
     => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209)) ),
    file('<stdin>',fact_610_bounded__nat__set__is__finite) ).

fof(c_0_294,axiom,
    ! [X209] :
      ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
    <=> ? [X29] :
        ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X29)) ) ),
    file('<stdin>',fact_608_finite__nat__set__iff__bounded) ).

fof(c_0_295,axiom,
    ! [X209] :
      ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
    <=> ? [X29] :
        ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X29)) ) ),
    file('<stdin>',fact_607_finite__nat__set__iff__bounded__le) ).

fof(c_0_296,axiom,
    ! [X206,X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X206)),X209)),
    file('<stdin>',fact_545_inj__on__add__nat) ).

fof(c_0_297,axiom,
    ! [X199,X222] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X222))
     => ? [X29] : X222 = hAPP_nat_nat(suc,X29) ),
    file('<stdin>',fact_689_Suc__le__D) ).

fof(c_0_298,axiom,
    ! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X206)))),
    file('<stdin>',fact_602_finite__Collect__le__nat) ).

fof(c_0_299,axiom,
    ! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X206)))),
    file('<stdin>',fact_601_finite__Collect__less__nat) ).

fof(c_0_300,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => ( hAPP_nat_nat(suc,X197) != X199
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199)) ) ),
    file('<stdin>',fact_651_Suc__lessI) ).

fof(c_0_301,axiom,
    ! [X197,X199,X198] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),X198) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X198)),
    file('<stdin>',fact_536_nat__add__assoc) ).

fof(c_0_302,axiom,
    ! [X160,X161,X162] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),X161)),X162) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X161),X162)),
    file('<stdin>',fact_420_ab__semigroup__add__class_Oadd__ac_I1_J) ).

fof(c_0_303,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199)) ),
    file('<stdin>',fact_659_Suc__leI) ).

fof(c_0_304,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199)))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
       => X197 = hAPP_nat_nat(suc,X199) ) ),
    file('<stdin>',fact_636_le__SucE) ).

fof(c_0_305,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
        | X200 = hAPP_nat_nat(suc,X26) ) ),
    file('<stdin>',fact_633_le__Suc__eq) ).

fof(c_0_306,axiom,
    ! [X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X6)),arrow_583275979e_Prof)) ),
    file('<stdin>',fact_90_const__Lin__Prof) ).

fof(c_0_307,axiom,
    ! [X74,X81] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X74),X81))
    <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X74),X81))
        & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X81),X74)) ) ),
    file('<stdin>',fact_401_less__fun__def) ).

fof(c_0_308,axiom,
    ! [X74,X81] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X74),X81))
    <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X74),X81))
        & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X81),X74)) ) ),
    file('<stdin>',fact_400_less__fun__def) ).

fof(c_0_309,axiom,
    ! [X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X74),X81))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X81),X74)) ) ),
    file('<stdin>',fact_399_less__fun__def) ).

fof(c_0_310,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
    file('<stdin>',fact_279_less__le__not__le) ).

fof(c_0_311,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
    file('<stdin>',fact_278_less__le__not__le) ).

fof(c_0_312,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
    file('<stdin>',fact_277_less__le__not__le) ).

fof(c_0_313,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
    <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
        & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4)) ) ),
    file('<stdin>',fact_276_less__le__not__le) ).

fof(c_0_314,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
        & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4)) ) ),
    file('<stdin>',fact_275_less__le__not__le) ).

fof(c_0_315,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199)))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
       => X197 = X199 ) ),
    file('<stdin>',fact_653_less__SucE) ).

fof(c_0_316,axiom,
    ! [X199,X197] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X197)))
       => X197 = X199 ) ),
    file('<stdin>',fact_649_less__antisym) ).

fof(c_0_317,axiom,
    ! [X26,X200] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
      <=> X26 = X200 ) ),
    file('<stdin>',fact_648_not__less__less__Suc__eq) ).

fof(c_0_318,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | X200 = X26 ) ),
    file('<stdin>',fact_646_less__Suc__eq) ).

fof(c_0_319,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
    file('<stdin>',fact_662_less__Suc__eq__le) ).

fof(c_0_320,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X199)),
    file('<stdin>',fact_631_Suc__n__not__le__n) ).

fof(c_0_321,axiom,
    ! [X23,X75] :
      ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => hAPP_f1817389232t_bool(X23,X24) = hAPP_A340536322t_bool(X24,X75) ) ),
    file('<stdin>',fact_380_dictator__def) ).

fof(c_0_322,axiom,
    ! [X207,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198))
     => ( X198 != hAPP_nat_nat(suc,X207)
       => ~ ! [X213] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
             => X198 != hAPP_nat_nat(suc,X213) ) ) ),
    file('<stdin>',fact_690_lessE) ).

fof(c_0_323,axiom,
    ! [X4,X74,X71] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ) ),
    file('<stdin>',fact_386_inv__into__f__f) ).

fof(c_0_324,axiom,
    ! [X5,X4,X74,X71] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => ( hAPP_A1895296483di_nat(X74,X4) = X5
           => hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),X5) = X4 ) ) ) ),
    file('<stdin>',fact_388_inv__into__f__eq) ).

fof(c_0_325,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => ? [X211] : X199 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X211)) ),
    file('<stdin>',fact_685_less__imp__Suc__add) ).

fof(c_0_326,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> ? [X211] : X26 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211)) ),
    file('<stdin>',fact_664_less__iff__Suc__add) ).

fof(c_0_327,axiom,
    ! [X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hAPP_nat_nat(hilber195283148at_nat(X71,X74),hAPP_nat_nat(X74,X4)) = X4 ) ),
    file('<stdin>',fact_385_inv__into__f__f) ).

fof(c_0_328,axiom,
    ! [X5,X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => ( hAPP_nat_nat(X74,X4) = X5
         => hAPP_nat_nat(hilber195283148at_nat(X71,X74),X5) = X4 ) ) ),
    file('<stdin>',fact_387_inv__into__f__eq) ).

fof(c_0_329,axiom,
    ! [X5,X4] :
      ( ( hBOOL(X4)
      <=> hBOOL(X5) )
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
    file('<stdin>',fact_262_order__eq__iff) ).

fof(c_0_330,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
      <=> ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_255_order__antisym__conv) ).

fof(c_0_331,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
       => ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_240_order__antisym) ).

fof(c_0_332,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
       => ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_234_xt1_I5_J) ).

fof(c_0_333,axiom,
    ! [X81,X74] :
      ( is_fun1084921220e_indi(X81)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( ! [X24] : hAPP_A1895296483di_nat(X74,hAPP_n619554777e_indi(X81,X24)) = X24
         => hilber951314860di_nat(top_to207207712i_bool,X74) = X81 ) ) ),
    file('<stdin>',fact_393_inj__imp__inv__eq) ).

fof(c_0_334,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
       => hBOOL(X9) ) ),
    file('<stdin>',fact_131_order__less__imp__triv) ).

fof(c_0_335,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
       => hBOOL(X9) ) ),
    file('<stdin>',fact_130_order__less__imp__triv) ).

fof(c_0_336,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
       => hBOOL(X9) ) ),
    file('<stdin>',fact_129_order__less__imp__triv) ).

fof(c_0_337,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
       => hBOOL(X9) ) ),
    file('<stdin>',fact_128_order__less__imp__triv) ).

fof(c_0_338,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
      <=> X4 = X5 ) ),
    file('<stdin>',fact_304_linorder__antisym__conv2) ).

fof(c_0_339,axiom,
    ! [X81,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( ! [X24] : hAPP_nat_nat(X74,hAPP_nat_nat(X81,X24)) = X24
       => hilber195283148at_nat(top_top_fun_nat_bool,X74) = X81 ) ),
    file('<stdin>',fact_392_inj__imp__inv__eq) ).

fof(c_0_340,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197))
       => X197 = X199 ) ),
    file('<stdin>',fact_543_le__antisym) ).

fof(c_0_341,axiom,
    ! [X71,X76] :
      ( X71 = X76
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
        & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
    file('<stdin>',fact_491_set__eq__subset) ).

fof(c_0_342,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71))
       => X71 = X76 ) ),
    file('<stdin>',fact_437_equalityI) ).

fof(c_0_343,axiom,
    ! [X4,X5] :
      ( X4 = X5
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
    file('<stdin>',fact_264_order__eq__iff) ).

fof(c_0_344,axiom,
    ! [X4,X5] :
      ( X4 = X5
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
    file('<stdin>',fact_263_order__eq__iff) ).

fof(c_0_345,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
      <=> X4 = X5 ) ),
    file('<stdin>',fact_257_order__antisym__conv) ).

fof(c_0_346,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
      <=> X4 = X5 ) ),
    file('<stdin>',fact_256_order__antisym__conv) ).

fof(c_0_347,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
       => X4 = X5 ) ),
    file('<stdin>',fact_242_order__antisym) ).

fof(c_0_348,axiom,
    ! [X90,X91] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X90),X91))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X91),X90))
       => X90 = X91 ) ),
    file('<stdin>',fact_241_order__antisym) ).

fof(c_0_349,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
       => X4 = X5 ) ),
    file('<stdin>',fact_236_xt1_I5_J) ).

fof(c_0_350,axiom,
    ! [X85,X86] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X85),X86))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X86),X85))
       => X86 = X85 ) ),
    file('<stdin>',fact_235_xt1_I5_J) ).

fof(c_0_351,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
    file('<stdin>',fact_660_le__imp__less__Suc) ).

fof(c_0_352,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
    file('<stdin>',fact_650_less__SucI) ).

fof(c_0_353,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199))) ),
    file('<stdin>',fact_635_le__SucI) ).

fof(c_0_354,axiom,
    ! [X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ? [X211] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X211))
          & hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X211) = X208 ) ),
    file('<stdin>',fact_627_less__imp__add__positive) ).

fof(c_0_355,axiom,
    ! [X118,X119] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X118),X119))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X119),X118)) ),
    file('<stdin>',fact_298_leD) ).

fof(c_0_356,axiom,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ),
    file('<stdin>',fact_268_linorder__not__le) ).

fof(c_0_357,axiom,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ),
    file('<stdin>',fact_267_linorder__not__less) ).

fof(c_0_358,axiom,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
        | X4 = X5 ) ),
    file('<stdin>',fact_155_not__less__iff__gr__or__eq) ).

fof(c_0_359,axiom,
    ! [X62,X63] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X63))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X62)) ),
    file('<stdin>',fact_147_order__less__not__sym) ).

fof(c_0_360,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    file('<stdin>',fact_146_order__less__not__sym) ).

fof(c_0_361,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    file('<stdin>',fact_145_order__less__not__sym) ).

fof(c_0_362,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    file('<stdin>',fact_144_order__less__not__sym) ).

fof(c_0_363,axiom,
    ! [X60,X61] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X61))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X60)) ),
    file('<stdin>',fact_143_order__less__imp__not__less) ).

fof(c_0_364,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    file('<stdin>',fact_142_order__less__imp__not__less) ).

fof(c_0_365,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    file('<stdin>',fact_141_order__less__imp__not__less) ).

fof(c_0_366,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    file('<stdin>',fact_140_order__less__imp__not__less) ).

fof(c_0_367,axiom,
    ! [X54,X55] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X55))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X54)) ),
    file('<stdin>',fact_127_order__less__asym_H) ).

fof(c_0_368,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ),
    file('<stdin>',fact_126_order__less__asym_H) ).

fof(c_0_369,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ),
    file('<stdin>',fact_125_order__less__asym_H) ).

fof(c_0_370,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ),
    file('<stdin>',fact_124_order__less__asym_H) ).

fof(c_0_371,axiom,
    ! [X52,X53] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X52),X53))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X52)) ),
    file('<stdin>',fact_123_xt1_I9_J) ).

fof(c_0_372,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ),
    file('<stdin>',fact_122_xt1_I9_J) ).

fof(c_0_373,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ),
    file('<stdin>',fact_121_xt1_I9_J) ).

fof(c_0_374,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ),
    file('<stdin>',fact_120_xt1_I9_J) ).

fof(c_0_375,axiom,
    ! [X32,X33] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ),
    file('<stdin>',fact_95_order__less__asym) ).

fof(c_0_376,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    file('<stdin>',fact_94_order__less__asym) ).

fof(c_0_377,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    file('<stdin>',fact_93_order__less__asym) ).

fof(c_0_378,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    file('<stdin>',fact_92_order__less__asym) ).

fof(c_0_379,axiom,
    ! [X71,X74,X76] :
      ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
       => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ) ),
    file('<stdin>',fact_414_subset__inj__on) ).

fof(c_0_380,axiom,
    ! [X71,X74,X76] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
       => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ) ),
    file('<stdin>',fact_413_subset__inj__on) ).

fof(c_0_381,axiom,
    ! [X74,X71] :
      ( ! [X24,X149] :
          ( ( is_Arr859726945e_indi(X24)
            & is_Arr859726945e_indi(X149) )
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X149),X71))
             => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
               => X24 = X149 ) ) ) )
     => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ),
    file('<stdin>',fact_592_inj__onI) ).

fof(c_0_382,axiom,
    ! [X74,X71] :
      ( ! [X24,X149] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X149),X71))
           => ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
             => X24 = X149 ) ) )
     => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ),
    file('<stdin>',fact_591_inj__onI) ).

fof(c_0_383,axiom,
    ! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197))),
    file('<stdin>',fact_561_le__add1) ).

fof(c_0_384,axiom,
    ! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199))),
    file('<stdin>',fact_560_le__add2) ).

fof(c_0_385,axiom,
    ! [X201,X202,X205] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X205)),
    file('<stdin>',fact_535_nat__add__left__commute) ).

fof(c_0_386,axiom,
    ! [X140] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X140),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X140),one_one_nat))),
    file('<stdin>',fact_394_less__add__one) ).

fof(c_0_387,axiom,
    ! [X71,X76] :
      ( ( is_fun2015243113i_bool(X71)
        & is_fun2015243113i_bool(X76) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
          | X71 = X76 ) ) ),
    file('<stdin>',fact_451_subset__iff__psubset__eq) ).

fof(c_0_388,axiom,
    ! [X71,X76] :
      ( ( is_fun1568535512t_bool(X71)
        & is_fun1568535512t_bool(X76) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
          | X71 = X76 ) ) ),
    file('<stdin>',fact_450_subset__iff__psubset__eq) ).

fof(c_0_389,axiom,
    ! [X71,X76] :
      ( ( is_fun2015243113i_bool(X71)
        & is_fun2015243113i_bool(X76) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
          & X71 != X76 ) ) ),
    file('<stdin>',fact_448_psubset__eq) ).

fof(c_0_390,axiom,
    ! [X71,X76] :
      ( ( is_fun1568535512t_bool(X71)
        & is_fun1568535512t_bool(X76) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
          & X71 != X76 ) ) ),
    file('<stdin>',fact_447_psubset__eq) ).

fof(c_0_391,axiom,
    ! [X13,X12] :
      ( ( is_fun2015243113i_bool(X13)
        & is_fun2015243113i_bool(X12) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
       => ( X12 != X13
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
    file('<stdin>',fact_317_xt1_I11_J) ).

fof(c_0_392,axiom,
    ! [X13,X12] :
      ( ( is_fun1568535512t_bool(X13)
        & is_fun1568535512t_bool(X12) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
       => ( X12 != X13
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
    file('<stdin>',fact_316_xt1_I11_J) ).

fof(c_0_393,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
       => ( X12 != X13
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
    file('<stdin>',fact_311_order__le__neq__trans) ).

fof(c_0_394,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
       => ( X12 != X13
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
    file('<stdin>',fact_310_order__le__neq__trans) ).

fof(c_0_395,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
          | X4 = X5 ) ) ),
    file('<stdin>',fact_306_order__le__imp__less__or__eq) ).

fof(c_0_396,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
          | X4 = X5 ) ) ),
    file('<stdin>',fact_305_order__le__imp__less__or__eq) ).

fof(c_0_397,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
    file('<stdin>',fact_294_xt1_I12_J) ).

fof(c_0_398,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
    file('<stdin>',fact_293_xt1_I12_J) ).

fof(c_0_399,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
    file('<stdin>',fact_289_order__neq__le__trans) ).

fof(c_0_400,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
    file('<stdin>',fact_288_order__neq__le__trans) ).

fof(c_0_401,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
          | X4 = X5 ) ) ),
    file('<stdin>',fact_281_order__le__less) ).

fof(c_0_402,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
          | X4 = X5 ) ) ),
    file('<stdin>',fact_280_order__le__less) ).

fof(c_0_403,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
          & X4 != X5 ) ) ),
    file('<stdin>',fact_271_order__less__le) ).

fof(c_0_404,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
          & X4 != X5 ) ) ),
    file('<stdin>',fact_270_order__less__le) ).

fof(c_0_405,axiom,
    ! [X15,X13,X12] :
      ( ( hBOOL(X12)
      <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X15))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
    file('<stdin>',fact_252_ord__eq__le__trans) ).

fof(c_0_406,axiom,
    ! [X15,X13,X12] :
      ( ( hBOOL(X12)
      <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X13))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
    file('<stdin>',fact_249_xt1_I3_J) ).

fof(c_0_407,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
     => ( ( hBOOL(X13)
        <=> hBOOL(X15) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
    file('<stdin>',fact_246_ord__le__eq__trans) ).

fof(c_0_408,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
     => ( ( hBOOL(X13)
        <=> hBOOL(X15) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
    file('<stdin>',fact_243_xt1_I4_J) ).

fof(c_0_409,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
     => ( ~ ( hBOOL(X12)
          <=> hBOOL(X13) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
    file('<stdin>',fact_319_xt1_I11_J) ).

fof(c_0_410,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
     => ( ~ ( hBOOL(X12)
          <=> hBOOL(X13) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
    file('<stdin>',fact_312_order__le__neq__trans) ).

fof(c_0_411,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
        | ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_307_order__le__imp__less__or__eq) ).

fof(c_0_412,axiom,
    ! [X13,X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
    file('<stdin>',fact_295_xt1_I12_J) ).

fof(c_0_413,axiom,
    ! [X13,X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
    file('<stdin>',fact_290_order__neq__le__trans) ).

fof(c_0_414,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
        | ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_282_order__le__less) ).

fof(c_0_415,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & ~ ( hBOOL(X4)
          <=> hBOOL(X5) ) ) ),
    file('<stdin>',fact_272_order__less__le) ).

fof(c_0_416,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X15))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X15)) ) ),
    file('<stdin>',fact_254_ord__eq__le__trans) ).

fof(c_0_417,axiom,
    ! [X101,X102,X103] :
      ( X102 = X103
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X103),X101))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X102),X101)) ) ),
    file('<stdin>',fact_253_ord__eq__le__trans) ).

fof(c_0_418,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X12)) ) ),
    file('<stdin>',fact_251_xt1_I3_J) ).

fof(c_0_419,axiom,
    ! [X98,X99,X100] :
      ( X99 = X100
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X98),X100))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X98),X99)) ) ),
    file('<stdin>',fact_250_xt1_I3_J) ).

fof(c_0_420,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X15)) ) ),
    file('<stdin>',fact_248_ord__le__eq__trans) ).

fof(c_0_421,axiom,
    ! [X95,X96,X97] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X96),X97))
     => ( X97 = X95
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X96),X95)) ) ),
    file('<stdin>',fact_247_ord__le__eq__trans) ).

fof(c_0_422,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X12)) ) ),
    file('<stdin>',fact_245_xt1_I4_J) ).

fof(c_0_423,axiom,
    ! [X92,X93,X94] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X93),X94))
     => ( X93 = X92
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X92),X94)) ) ),
    file('<stdin>',fact_244_xt1_I4_J) ).

fof(c_0_424,axiom,
    ! [X5,X4] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
      <=> X4 = X5 ) ),
    file('<stdin>',fact_153_linorder__antisym__conv3) ).

fof(c_0_425,axiom,
    ! [X49,X50,X51] :
      ( X50 = X51
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X49))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ) ),
    file('<stdin>',fact_119_ord__eq__less__trans) ).

fof(c_0_426,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X15))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X15)) ) ),
    file('<stdin>',fact_118_ord__eq__less__trans) ).

fof(c_0_427,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X15))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X15)) ) ),
    file('<stdin>',fact_117_ord__eq__less__trans) ).

fof(c_0_428,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X15))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X15)) ) ),
    file('<stdin>',fact_116_ord__eq__less__trans) ).

fof(c_0_429,axiom,
    ! [X46,X47,X48] :
      ( X47 = X48
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X48))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X47)) ) ),
    file('<stdin>',fact_115_xt1_I1_J) ).

fof(c_0_430,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X13))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X12)) ) ),
    file('<stdin>',fact_114_xt1_I1_J) ).

fof(c_0_431,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X13))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X12)) ) ),
    file('<stdin>',fact_113_xt1_I1_J) ).

fof(c_0_432,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X12)) ) ),
    file('<stdin>',fact_112_xt1_I1_J) ).

fof(c_0_433,axiom,
    ! [X43,X44,X45] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X45))
     => ( X45 = X43
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X43)) ) ),
    file('<stdin>',fact_111_ord__less__eq__trans) ).

fof(c_0_434,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X15)) ) ),
    file('<stdin>',fact_110_ord__less__eq__trans) ).

fof(c_0_435,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X15)) ) ),
    file('<stdin>',fact_109_ord__less__eq__trans) ).

fof(c_0_436,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X15)) ) ),
    file('<stdin>',fact_108_ord__less__eq__trans) ).

fof(c_0_437,axiom,
    ! [X40,X41,X42] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X42))
     => ( X41 = X40
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X40),X42)) ) ),
    file('<stdin>',fact_107_xt1_I2_J) ).

fof(c_0_438,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X12)) ) ),
    file('<stdin>',fact_106_xt1_I2_J) ).

fof(c_0_439,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X12)) ) ),
    file('<stdin>',fact_105_xt1_I2_J) ).

fof(c_0_440,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X12)) ) ),
    file('<stdin>',fact_104_xt1_I2_J) ).

fof(c_0_441,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => ( X197 != X199
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
    file('<stdin>',fact_558_le__neq__implies__less) ).

fof(c_0_442,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | X200 = X26 ) ),
    file('<stdin>',fact_556_le__eq__less__or__eq) ).

fof(c_0_443,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
        & X200 != X26 ) ),
    file('<stdin>',fact_555_nat__less__le) ).

fof(c_0_444,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
        | X71 = X76 ) ),
    file('<stdin>',fact_449_subset__iff__psubset__eq) ).

fof(c_0_445,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
        & X71 != X76 ) ),
    file('<stdin>',fact_446_psubset__eq) ).

fof(c_0_446,axiom,
    ! [X126,X127] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X126),X127))
     => ( X127 != X126
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X126),X127)) ) ),
    file('<stdin>',fact_318_xt1_I11_J) ).

fof(c_0_447,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
     => ( X12 != X13
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
    file('<stdin>',fact_315_xt1_I11_J) ).

fof(c_0_448,axiom,
    ! [X124,X125] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X124),X125))
     => ( X124 != X125
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X124),X125)) ) ),
    file('<stdin>',fact_314_order__le__neq__trans) ).

fof(c_0_449,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
     => ( X12 != X13
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
    file('<stdin>',fact_313_order__le__neq__trans) ).

fof(c_0_450,axiom,
    ! [X122,X123] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X122),X123))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X122),X123))
        | X122 = X123 ) ),
    file('<stdin>',fact_309_order__le__imp__less__or__eq) ).

fof(c_0_451,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
        | X4 = X5 ) ),
    file('<stdin>',fact_308_order__le__imp__less__or__eq) ).

fof(c_0_452,axiom,
    ! [X116,X117] :
      ( X116 != X117
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X117),X116))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X117),X116)) ) ),
    file('<stdin>',fact_297_xt1_I12_J) ).

fof(c_0_453,axiom,
    ! [X12,X13] :
      ( X12 != X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
    file('<stdin>',fact_296_xt1_I12_J) ).

fof(c_0_454,axiom,
    ! [X114,X115] :
      ( X114 != X115
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X114),X115))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X114),X115)) ) ),
    file('<stdin>',fact_292_order__neq__le__trans) ).

fof(c_0_455,axiom,
    ! [X12,X13] :
      ( X12 != X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
    file('<stdin>',fact_291_order__neq__le__trans) ).

fof(c_0_456,axiom,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
      <=> X4 = X5 ) ),
    file('<stdin>',fact_287_linorder__antisym__conv1) ).

fof(c_0_457,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
        | X4 = X5 ) ),
    file('<stdin>',fact_284_order__le__less) ).

fof(c_0_458,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
        | X4 = X5 ) ),
    file('<stdin>',fact_283_order__le__less) ).

fof(c_0_459,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & X4 != X5 ) ),
    file('<stdin>',fact_274_order__less__le) ).

fof(c_0_460,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & X4 != X5 ) ),
    file('<stdin>',fact_273_order__less__le) ).

fof(c_0_461,axiom,
    ! [X196,X9,X4] :
      ( hBOOL(hAPP_nat_bool(X9,X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
       => hBOOL(hAPP_nat_bool(X196,X4)) ) ),
    file('<stdin>',fact_490_rev__predicate1D) ).

fof(c_0_462,axiom,
    ! [X4,X9,X196] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
     => ( hBOOL(hAPP_nat_bool(X9,X4))
       => hBOOL(hAPP_nat_bool(X196,X4)) ) ),
    file('<stdin>',fact_479_predicate1D) ).

fof(c_0_463,axiom,
    ! [X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) ),
    file('<stdin>',fact_574_termination__basic__simps_I5_J) ).

fof(c_0_464,axiom,
    ! [X197,X199] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
        | X197 = X199 )
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    file('<stdin>',fact_559_less__or__eq__imp__le) ).

fof(c_0_465,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    file('<stdin>',fact_557_less__imp__le__nat) ).

fof(c_0_466,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
    file('<stdin>',fact_454_psubset__imp__subset) ).

fof(c_0_467,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
    file('<stdin>',fact_453_psubset__imp__subset) ).

fof(c_0_468,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    file('<stdin>',fact_452_psubset__imp__subset) ).

fof(c_0_469,axiom,
    ! [X120,X121] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X120),X121))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X120),X121)) ),
    file('<stdin>',fact_303_order__less__imp__le) ).

fof(c_0_470,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
    file('<stdin>',fact_302_order__less__imp__le) ).

fof(c_0_471,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
    file('<stdin>',fact_301_order__less__imp__le) ).

fof(c_0_472,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5)) ),
    file('<stdin>',fact_300_order__less__imp__le) ).

fof(c_0_473,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5)) ),
    file('<stdin>',fact_299_order__less__imp__le) ).

fof(c_0_474,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    file('<stdin>',fact_71_assms_I1_J) ).

fof(c_0_475,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> ? [X211] : X26 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211) ),
    file('<stdin>',fact_562_le__iff__add) ).

fof(c_0_476,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,zero_zero_nat)))
    <=> X26 = zero_zero_nat ),
    file('<stdin>',fact_670_less__Suc0) ).

fof(c_0_477,axiom,
    ! [X9,X206] :
      ( hBOOL(hAPP_nat_bool(X9,X206))
     => ( ! [X78] :
            ( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78)))
           => hBOOL(hAPP_nat_bool(X9,X78)) )
       => hBOOL(hAPP_nat_bool(X9,zero_zero_nat)) ) ),
    file('<stdin>',fact_694_zero__induct) ).

fof(c_0_478,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
    file('<stdin>',fact_643_add__Suc) ).

fof(c_0_479,axiom,
    ! [X201,X202] :
      ( X201 != X202
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X201)) ) ),
    file('<stdin>',fact_529_linorder__neqE__nat) ).

fof(c_0_480,axiom,
    ! [X200,X26] :
      ( X200 != X26
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200)) ) ),
    file('<stdin>',fact_528_nat__neq__iff) ).

fof(c_0_481,axiom,
    ! [X4,X5] :
      ( X4 != X5
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ) ),
    file('<stdin>',fact_156_linorder__neq__iff) ).

fof(c_0_482,axiom,
    ! [X68,X69] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X68),X69))
      | X68 = X69
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X69),X68)) ),
    file('<stdin>',fact_154_linorder__less__linear) ).

fof(c_0_483,axiom,
    ! [X66,X67] :
      ( X66 != X67
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X67))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X67),X66)) ) ),
    file('<stdin>',fact_152_linorder__neqE) ).

fof(c_0_484,axiom,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
     => ( X30 != X31
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X31),X30)) ) ),
    file('<stdin>',fact_91_linorder__cases) ).

fof(c_0_485,axiom,
    ! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X26))) = hAPP_nat_nat(suc,X26),
    file('<stdin>',fact_680_card__Collect__le__nat) ).

fof(c_0_486,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197)) ),
    file('<stdin>',fact_540_nat__le__linear) ).

fof(c_0_487,axiom,
    ! [X112,X113] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X112),X113))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X113),X112)) ),
    file('<stdin>',fact_286_not__leE) ).

fof(c_0_488,axiom,
    ! [X110,X111] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X110),X111))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X111),X110)) ),
    file('<stdin>',fact_285_leI) ).

fof(c_0_489,axiom,
    ! [X108,X109] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X108),X109))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X109),X108)) ),
    file('<stdin>',fact_269_linorder__le__less__linear) ).

fof(c_0_490,axiom,
    ! [X106,X107] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X106),X107))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X107),X106)) ),
    file('<stdin>',fact_265_linorder__linear) ).

fof(c_0_491,axiom,
    ! [X79,X80] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X79),X80))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),X79)) ),
    file('<stdin>',fact_229_linorder__le__cases) ).

fof(c_0_492,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
    <=> hBOOL(hAPP_nat_bool(X71,X4)) ),
    file('<stdin>',fact_175_mem__def) ).

fof(c_0_493,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
    <=> hBOOL(hAPP_f1733357041l_bool(X71,X4)) ),
    file('<stdin>',fact_174_mem__def) ).

fof(c_0_494,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
    <=> hBOOL(hAPP_f446648900l_bool(X71,X4)) ),
    file('<stdin>',fact_173_mem__def) ).

fof(c_0_495,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
    <=> hBOOL(hAPP_f1378099862l_bool(X71,X4)) ),
    file('<stdin>',fact_172_mem__def) ).

fof(c_0_496,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
    <=> hBOOL(hAPP_P1813625415t_bool(X71,X4)) ),
    file('<stdin>',fact_171_mem__def) ).

fof(c_0_497,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
    <=> hBOOL(hAPP_P1676879539t_bool(X71,X4)) ),
    file('<stdin>',fact_170_mem__def) ).

fof(c_0_498,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
    <=> hBOOL(hAPP_bool_bool(X71,X4)) ),
    file('<stdin>',fact_169_mem__def) ).

fof(c_0_499,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
    <=> hBOOL(hAPP_A416869060i_bool(X71,X4)) ),
    file('<stdin>',fact_168_mem__def) ).

fof(c_0_500,axiom,
    ! [X12,X13,X10,X11] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13)
        & is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11) )
     => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)
      <=> ( X12 = X10
          & X13 = X11 ) ) ),
    file('<stdin>',fact_22_Pair__eq) ).

fof(c_0_501,axiom,
    ! [X19,X20,X21,X22] :
      ( ( is_Arr723427730le_alt(X19)
        & is_Arr723427730le_alt(X20)
        & is_Arr723427730le_alt(X21)
        & is_Arr723427730le_alt(X22) )
     => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X21),X22)
       => ~ ( X19 = X21
           => X20 != X22 ) ) ),
    file('<stdin>',fact_21_Pair__inject) ).

fof(c_0_502,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
    file('<stdin>',fact_644_add__Suc__right) ).

fof(c_0_503,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)),
    file('<stdin>',fact_642_add__Suc__shift) ).

fof(c_0_504,axiom,
    ! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X26))) = X26,
    file('<stdin>',fact_604_card__Collect__less__nat) ).

fof(c_0_505,axiom,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).

fof(c_0_506,axiom,
    ! [X4,X74] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ),
    file('<stdin>',fact_186_inv__f__f) ).

fof(c_0_507,axiom,
    ! [X1,X2,X3] :
      ( ( is_fun20916972t_bool(X1)
        & is_Arr723427730le_alt(X2)
        & is_Arr723427730le_alt(X3) )
     => is_bool(in_rel1361124802le_alt(X1,X2,X3)) ),
    file('<stdin>',gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000) ).

fof(c_0_508,axiom,
    ! [X1,X2,X3] :
      ( ( is_fun20916972t_bool(X1)
        & is_Arr723427730le_alt(X2)
        & is_Arr723427730le_alt(X3) )
     => is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3)) ),
    file('<stdin>',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Obelow) ).

fof(c_0_509,axiom,
    ! [X4,X5,X74] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = X5
         => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),X5) = X4 ) ) ),
    file('<stdin>',fact_184_inv__f__eq) ).

fof(c_0_510,axiom,
    ! [X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199))
     => ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
    file('<stdin>',fact_686_gr0__implies__Suc) ).

fof(c_0_511,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26))
    <=> ? [X29] : X26 = hAPP_nat_nat(suc,X29) ),
    file('<stdin>',fact_669_gr0__conv__Suc) ).

fof(c_0_512,axiom,
    ! [X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(top_top_bool) )
    <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),top_top_bool)) ),
    file('<stdin>',fact_66_less__top) ).

fof(c_0_513,axiom,
    ! [X4,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),hAPP_nat_nat(X74,X4)) = X4 ),
    file('<stdin>',fact_187_inv__f__f) ).

fof(c_0_514,axiom,
    ! [X226,X227,X228] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X226),X227),X228) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) ).

fof(c_0_515,axiom,
    ! [X226,X227,X228] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X226),X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_052) ).

fof(c_0_516,axiom,
    ! [X226,X227,X228] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X226),X227),X228) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).

fof(c_0_517,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X226),X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_049) ).

fof(c_0_518,axiom,
    ! [X226,X227,X228] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X226),X227),X228) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).

fof(c_0_519,axiom,
    ! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X226),X227),X228) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_048) ).

fof(c_0_520,axiom,
    ! [X226,X227,X228] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) ).

fof(c_0_521,axiom,
    ! [X226,X227,X228] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X226),X227),X228) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_047) ).

fof(c_0_522,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X226),X227),X228) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_046) ).

fof(c_0_523,axiom,
    ! [X226,X227,X228] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t) ).

fof(c_0_524,axiom,
    ! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X226),X227),X228) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_044) ).

fof(c_0_525,axiom,
    ! [X226,X227,X228] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X226),X227),X228) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Product____Type__Ounit_000tc__fun_Itc__Product____Ty) ).

fof(c_0_526,axiom,
    ! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_A1948275303t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000) ).

fof(c_0_527,axiom,
    ! [X226,X227,X228] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X226),X227),X228) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).

fof(c_0_528,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X226),X227),X228) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).

fof(c_0_529,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_n1699378549t_bool(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U) ).

fof(c_0_530,axiom,
    ! [X226,X227,X228] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X226),X227),X228) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X226,X228),X227),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__Nat__Onat_U) ).

fof(c_0_531,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( X12 != top_to1257323279t_bool
      <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),top_to1257323279t_bool)) ) ),
    file('<stdin>',fact_69_less__top) ).

fof(c_0_532,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( X12 != top_to207207712i_bool
      <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),top_to207207712i_bool)) ) ),
    file('<stdin>',fact_68_less__top) ).

fof(c_0_533,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( X12 != top_to1773227171t_bool
      <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X12),top_to1773227171t_bool)) ) ),
    file('<stdin>',fact_67_less__top) ).

fof(c_0_534,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( X12 != top_to1849101472l_bool
      <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X12),top_to1849101472l_bool)) ) ),
    file('<stdin>',fact_65_less__top) ).

fof(c_0_535,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( X12 != top_to935749874l_bool
      <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X12),top_to935749874l_bool)) ) ),
    file('<stdin>',fact_64_less__top) ).

fof(c_0_536,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( X12 != top_to846262053l_bool
      <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X12),top_to846262053l_bool)) ) ),
    file('<stdin>',fact_63_less__top) ).

fof(c_0_537,axiom,
    ! [X226,X227] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
      | hBOOL(X227) ),
    file('<stdin>',help_fconj_3_1_U) ).

fof(c_0_538,axiom,
    ! [X226,X227] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
      | hBOOL(X226) ),
    file('<stdin>',help_fconj_2_1_U) ).

fof(c_0_539,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = X5
       => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),X5) = X4 ) ),
    file('<stdin>',fact_185_inv__f__eq) ).

fof(c_0_540,axiom,
    ! [X203,X204] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
     => X203 != X204 ),
    file('<stdin>',fact_532_less__not__refl3) ).

fof(c_0_541,axiom,
    ! [X199,X197] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
     => X197 != X199 ),
    file('<stdin>',fact_531_less__not__refl2) ).

fof(c_0_542,axiom,
    ! [X64,X65] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X65))
     => X64 != X65 ),
    file('<stdin>',fact_151_less__imp__neq) ).

fof(c_0_543,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_150_less__imp__neq) ).

fof(c_0_544,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_149_less__imp__neq) ).

fof(c_0_545,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_148_less__imp__neq) ).

fof(c_0_546,axiom,
    ! [X58,X59] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X59))
     => X58 != X59 ),
    file('<stdin>',fact_139_order__less__imp__not__eq) ).

fof(c_0_547,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_138_order__less__imp__not__eq) ).

fof(c_0_548,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_137_order__less__imp__not__eq) ).

fof(c_0_549,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X4 != X5 ),
    file('<stdin>',fact_136_order__less__imp__not__eq) ).

fof(c_0_550,axiom,
    ! [X56,X57] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X57))
     => X57 != X56 ),
    file('<stdin>',fact_135_order__less__imp__not__eq2) ).

fof(c_0_551,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X5 != X4 ),
    file('<stdin>',fact_134_order__less__imp__not__eq2) ).

fof(c_0_552,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X5 != X4 ),
    file('<stdin>',fact_133_order__less__imp__not__eq2) ).

fof(c_0_553,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X5 != X4 ),
    file('<stdin>',fact_132_order__less__imp__not__eq2) ).

fof(c_0_554,axiom,
    ! [X4,X5,X74] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
         => X4 = X5 ) ) ),
    file('<stdin>',fact_384_injD) ).

fof(c_0_555,axiom,
    ! [X4,X5,X74] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
        <=> X4 = X5 ) ) ),
    file('<stdin>',fact_382_inj__eq) ).

fof(c_0_556,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => X199 != zero_zero_nat ),
    file('<stdin>',fact_614_gr__implies__not0) ).

fof(c_0_557,axiom,
    ! [X201,X202] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202))
      | X201 = X202 ),
    file('<stdin>',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).

fof(c_0_558,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X199))),
    file('<stdin>',fact_628_lessI) ).

fof(c_0_559,axiom,
    ! [X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
     => ( hBOOL(X12)
      <=> hBOOL(top_top_bool) ) ),
    file('<stdin>',fact_356_top__le) ).

fof(c_0_560,axiom,
    ! [X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
    <=> ( hBOOL(X12)
      <=> hBOOL(top_top_bool) ) ),
    file('<stdin>',fact_348_top__unique) ).

fof(c_0_561,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
    file('<stdin>',fact_530_less__irrefl__nat) ).

fof(c_0_562,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
    file('<stdin>',fact_527_less__not__refl) ).

fof(c_0_563,axiom,
    ! [X70] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X70),X70)),
    file('<stdin>',fact_160_order__less__irrefl) ).

fof(c_0_564,axiom,
    ! [X4] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X4)),
    file('<stdin>',fact_159_order__less__irrefl) ).

fof(c_0_565,axiom,
    ! [X4] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X4)),
    file('<stdin>',fact_158_order__less__irrefl) ).

fof(c_0_566,axiom,
    ! [X4] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X4)),
    file('<stdin>',fact_157_order__less__irrefl) ).

fof(c_0_567,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
       => X12 = top_to207207712i_bool ) ),
    file('<stdin>',fact_363_top__le) ).

fof(c_0_568,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
       => X12 = top_to1257323279t_bool ) ),
    file('<stdin>',fact_362_top__le) ).

fof(c_0_569,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
       => X12 = top_to1773227171t_bool ) ),
    file('<stdin>',fact_360_top__le) ).

fof(c_0_570,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
       => X12 = top_to935749874l_bool ) ),
    file('<stdin>',fact_359_top__le) ).

fof(c_0_571,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
       => X12 = top_to1849101472l_bool ) ),
    file('<stdin>',fact_358_top__le) ).

fof(c_0_572,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
       => X12 = top_to846262053l_bool ) ),
    file('<stdin>',fact_357_top__le) ).

fof(c_0_573,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
      <=> X12 = top_to207207712i_bool ) ),
    file('<stdin>',fact_355_top__unique) ).

fof(c_0_574,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
      <=> X12 = top_to1257323279t_bool ) ),
    file('<stdin>',fact_354_top__unique) ).

fof(c_0_575,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
      <=> X12 = top_to1773227171t_bool ) ),
    file('<stdin>',fact_352_top__unique) ).

fof(c_0_576,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
      <=> X12 = top_to935749874l_bool ) ),
    file('<stdin>',fact_351_top__unique) ).

fof(c_0_577,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
      <=> X12 = top_to1849101472l_bool ) ),
    file('<stdin>',fact_350_top__unique) ).

fof(c_0_578,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
      <=> X12 = top_to846262053l_bool ) ),
    file('<stdin>',fact_349_top__unique) ).

fof(c_0_579,axiom,
    ! [X200,X206,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X26),X206)
    <=> X200 = X26 ),
    file('<stdin>',fact_538_nat__add__right__cancel) ).

fof(c_0_580,axiom,
    ! [X206,X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)
    <=> X200 = X26 ),
    file('<stdin>',fact_537_nat__add__left__cancel) ).

fof(c_0_581,axiom,
    ! [X12,X13,X15] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)
    <=> X13 = X15 ),
    file('<stdin>',fact_419_add__left__cancel) ).

fof(c_0_582,axiom,
    ! [X13,X12,X15] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)
    <=> X13 = X15 ),
    file('<stdin>',fact_418_add__right__cancel) ).

fof(c_0_583,axiom,
    ! [X157,X158,X159] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X158) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X159)
     => X158 = X159 ),
    file('<stdin>',fact_417_add__left__imp__eq) ).

fof(c_0_584,axiom,
    ! [X154,X155,X156] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X155) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X156)
     => X155 = X156 ),
    file('<stdin>',fact_416_add__imp__eq) ).

fof(c_0_585,axiom,
    ! [X151,X152,X153] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X151),X152) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X153),X152)
     => X151 = X153 ),
    file('<stdin>',fact_415_add__right__imp__eq) ).

fof(c_0_586,axiom,
    ! [X12] :
      ( X12 != top_top_fun_nat_bool
    <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),top_top_fun_nat_bool)) ),
    file('<stdin>',fact_70_less__top) ).

fof(c_0_587,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),zero_zero_nat))
    <=> X26 = zero_zero_nat ),
    file('<stdin>',fact_622_le__0__eq) ).

fof(c_0_588,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X199))),
    file('<stdin>',fact_630_zero__less__Suc) ).

fof(c_0_589,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    file('<stdin>',fact_617_not__less0) ).

fof(c_0_590,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    file('<stdin>',fact_615_less__nat__zero__code) ).

fof(c_0_591,axiom,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    file('<stdin>',fact_611_less__zeroE) ).

fof(c_0_592,axiom,
    ! [X26] :
      ( X26 != zero_zero_nat
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ),
    file('<stdin>',fact_616_neq0__conv) ).

fof(c_0_593,axiom,
    ! [X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
     => X12 = top_top_fun_nat_bool ),
    file('<stdin>',fact_361_top__le) ).

fof(c_0_594,axiom,
    ! [X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
    <=> X12 = top_top_fun_nat_bool ),
    file('<stdin>',fact_353_top__unique) ).

fof(c_0_595,axiom,
    ! [X12] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X12)),
    file('<stdin>',fact_62_not__top__less) ).

fof(c_0_596,axiom,
    ! [X12] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X12)),
    file('<stdin>',fact_61_not__top__less) ).

fof(c_0_597,axiom,
    ! [X12] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X12)),
    file('<stdin>',fact_60_not__top__less) ).

fof(c_0_598,axiom,
    ! [X12] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X12)),
    file('<stdin>',fact_59_not__top__less) ).

fof(c_0_599,axiom,
    ! [X12] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X12)),
    file('<stdin>',fact_58_not__top__less) ).

fof(c_0_600,axiom,
    ! [X12] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X12)),
    file('<stdin>',fact_57_not__top__less) ).

fof(c_0_601,axiom,
    ! [X12] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X12)),
    file('<stdin>',fact_56_not__top__less) ).

fof(c_0_602,axiom,
    ! [X12] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X12)),
    file('<stdin>',fact_55_not__top__less) ).

fof(c_0_603,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
       => X4 = X5 ) ),
    file('<stdin>',fact_383_injD) ).

fof(c_0_604,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
      <=> X4 = X5 ) ),
    file('<stdin>',fact_381_inj__eq) ).

fof(c_0_605,axiom,
    ! [X226,X227,X228] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X226,X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_053) ).

fof(c_0_606,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(X226,X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000) ).

fof(c_0_607,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(cOMBS_nat_bool_bool(X226,X227),X228) = hAPP_bool_bool(hAPP_n1006566506l_bool(X226,X228),hAPP_nat_bool(X227,X228)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U) ).

fof(c_0_608,axiom,
    ! [X224,X216] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X224),X216))),
    file('<stdin>',fact_697_finite__atLeastLessThan) ).

fof(c_0_609,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = hAPP_nat_nat(suc,zero_zero_nat)
    <=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
          & X26 = zero_zero_nat )
        | ( X200 = zero_zero_nat
          & X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
    file('<stdin>',fact_668_add__is__1) ).

fof(c_0_610,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)
    <=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
          & X26 = zero_zero_nat )
        | ( X200 = zero_zero_nat
          & X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
    file('<stdin>',fact_667_one__is__add) ).

fof(c_0_611,axiom,
    ! [X226,X227,X228] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X226),X227),X228) = hAPP_b910261233t_bool(X226,hAPP_A416869060i_bool(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_) ).

fof(c_0_612,axiom,
    ! [X226,X227,X228] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X226),X227),X228) = hAPP_f372913425t_bool(X226,hAPP_A643475905l_bool(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___054) ).

fof(c_0_613,axiom,
    ! [X226,X227,X228] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X226),X227),X228) = hAPP_f684072049t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_051) ).

fof(c_0_614,axiom,
    ! [X226,X227,X228] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X226),X227),X228) = hAPP_f1656652505l_bool(X226,hAPP_A1171966089le_alt(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).

fof(c_0_615,axiom,
    ! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X226),X227),X228) = hAPP_f102394819t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).

fof(c_0_616,axiom,
    ! [X226,X227,X228] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X226),X227),X228) = hAPP_P1151433609l_bool(X226,hAPP_A1561816353le_alt(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) ).

fof(c_0_617,axiom,
    ! [X226,X227,X228] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_A1895296483di_nat(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__043) ).

fof(c_0_618,axiom,
    ! [X226,X227,X228] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X226),X227),X228) = hAPP_n215258509l_bool(X226,hAPP_nat_nat(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO) ).

fof(c_0_619,axiom,
    ! [X226,X227,X228] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X226),X227),X228) = hAPP_b589554111l_bool(X226,hAPP_nat_bool(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).

fof(c_0_620,axiom,
    ! [X226,X227,X228] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_nat_nat(X227,X228)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).

fof(c_0_621,axiom,
    ! [X227,X226] :
      ( ~ hBOOL(X226)
      | ~ hBOOL(X227)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227)) ),
    file('<stdin>',help_fconj_1_1_U) ).

fof(c_0_622,axiom,
    ! [X5,X4] :
      ( ( hBOOL(X4)
      <=> hBOOL(X5) )
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
    file('<stdin>',fact_259_order__eq__refl) ).

fof(c_0_623,axiom,
    ! [X201,X202] :
      ( is_fun20916972t_bool(X202)
     => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X201),X202) = X202 ),
    file('<stdin>',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).

fof(c_0_624,axiom,
    ! [X201,X202] :
      ( is_fun20916972t_bool(X201)
     => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X201),X202) = X201 ),
    file('<stdin>',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).

fof(c_0_625,axiom,
    ! [X74] :
      ( ! [X24,X149] :
          ( ( is_Arr859726945e_indi(X24)
            & is_Arr859726945e_indi(X149) )
         => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
           => X24 = X149 ) )
     => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool)) ),
    file('<stdin>',fact_398_injI) ).

fof(c_0_626,axiom,
    ! [X74] :
      ( ! [X24,X149] :
          ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
         => X24 = X149 )
     => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool)) ),
    file('<stdin>',fact_397_injI) ).

fof(c_0_627,axiom,
    ! [X201,X202] :
      ( X201 != X202
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202)) ),
    file('<stdin>',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).

fof(c_0_628,axiom,
    ! [X197,X199] :
      ( X197 = X199
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    file('<stdin>',fact_541_eq__imp__le) ).

fof(c_0_629,axiom,
    ! [X71,X76] :
      ( X71 = X76
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    file('<stdin>',fact_489_equalityD1) ).

fof(c_0_630,axiom,
    ! [X71,X76] :
      ( X71 = X76
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ),
    file('<stdin>',fact_488_equalityD2) ).

fof(c_0_631,axiom,
    ! [X71,X76] :
      ( X71 = X76
     => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
         => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
    file('<stdin>',fact_461_equalityE) ).

fof(c_0_632,axiom,
    ! [X4,X5] :
      ( X4 = X5
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
    file('<stdin>',fact_261_order__eq__refl) ).

fof(c_0_633,axiom,
    ! [X104,X105] :
      ( X104 = X105
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X104),X105)) ),
    file('<stdin>',fact_260_order__eq__refl) ).

fof(c_0_634,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X199)),
    file('<stdin>',fact_539_le__refl) ).

fof(c_0_635,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X71)),
    file('<stdin>',fact_492_subset__refl) ).

fof(c_0_636,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X4)),
    file('<stdin>',fact_226_order__refl) ).

fof(c_0_637,axiom,
    ! [X77] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X77),X77)),
    file('<stdin>',fact_225_order__refl) ).

fof(c_0_638,axiom,
    ! [X4] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X4)),
    file('<stdin>',fact_224_order__refl) ).

fof(c_0_639,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    file('<stdin>',fact_19_n_I1_J) ).

fof(c_0_640,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197),
    file('<stdin>',fact_534_nat__add__commute) ).

fof(c_0_641,axiom,
    ! [X71] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),top_to207207712i_bool)),
    file('<stdin>',fact_412_subset__UNIV) ).

fof(c_0_642,axiom,
    ! [X71] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),top_to1257323279t_bool)),
    file('<stdin>',fact_411_subset__UNIV) ).

fof(c_0_643,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),top_top_fun_nat_bool)),
    file('<stdin>',fact_410_subset__UNIV) ).

fof(c_0_644,axiom,
    ! [X71] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),top_to1773227171t_bool)),
    file('<stdin>',fact_409_subset__UNIV) ).

fof(c_0_645,axiom,
    ! [X71] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),top_to935749874l_bool)),
    file('<stdin>',fact_408_subset__UNIV) ).

fof(c_0_646,axiom,
    ! [X71] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),top_to1849101472l_bool)),
    file('<stdin>',fact_407_subset__UNIV) ).

fof(c_0_647,axiom,
    ! [X71] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),top_to846262053l_bool)),
    file('<stdin>',fact_406_subset__UNIV) ).

fof(c_0_648,axiom,
    ! [X12] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),top_to207207712i_bool)),
    file('<stdin>',fact_347_top__greatest) ).

fof(c_0_649,axiom,
    ! [X12] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),top_to1257323279t_bool)),
    file('<stdin>',fact_346_top__greatest) ).

fof(c_0_650,axiom,
    ! [X12] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),top_top_fun_nat_bool)),
    file('<stdin>',fact_345_top__greatest) ).

fof(c_0_651,axiom,
    ! [X12] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X12),top_to1773227171t_bool)),
    file('<stdin>',fact_344_top__greatest) ).

fof(c_0_652,axiom,
    ! [X12] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X12),top_to935749874l_bool)),
    file('<stdin>',fact_343_top__greatest) ).

fof(c_0_653,axiom,
    ! [X12] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X12),top_to1849101472l_bool)),
    file('<stdin>',fact_342_top__greatest) ).

fof(c_0_654,axiom,
    ! [X12] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X12),top_to846262053l_bool)),
    file('<stdin>',fact_341_top__greatest) ).

fof(c_0_655,axiom,
    ! [X12] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),top_top_bool)),
    file('<stdin>',fact_340_top__greatest) ).

fof(c_0_656,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
    file('<stdin>',fact_47_iso__tuple__UNIV__I) ).

fof(c_0_657,axiom,
    ! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
    file('<stdin>',fact_46_iso__tuple__UNIV__I) ).

fof(c_0_658,axiom,
    ! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
    file('<stdin>',fact_45_iso__tuple__UNIV__I) ).

fof(c_0_659,axiom,
    ! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
    file('<stdin>',fact_44_iso__tuple__UNIV__I) ).

fof(c_0_660,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
    file('<stdin>',fact_43_iso__tuple__UNIV__I) ).

fof(c_0_661,axiom,
    ! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
    file('<stdin>',fact_42_iso__tuple__UNIV__I) ).

fof(c_0_662,axiom,
    ! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
    file('<stdin>',fact_41_iso__tuple__UNIV__I) ).

fof(c_0_663,axiom,
    ! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
    file('<stdin>',fact_40_iso__tuple__UNIV__I) ).

fof(c_0_664,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
    file('<stdin>',fact_39_UNIV__I) ).

fof(c_0_665,axiom,
    ! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
    file('<stdin>',fact_38_UNIV__I) ).

fof(c_0_666,axiom,
    ! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
    file('<stdin>',fact_37_UNIV__I) ).

fof(c_0_667,axiom,
    ! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
    file('<stdin>',fact_36_UNIV__I) ).

fof(c_0_668,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
    file('<stdin>',fact_35_UNIV__I) ).

fof(c_0_669,axiom,
    ! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
    file('<stdin>',fact_34_UNIV__I) ).

fof(c_0_670,axiom,
    ! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
    file('<stdin>',fact_33_UNIV__I) ).

fof(c_0_671,axiom,
    ! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
    file('<stdin>',fact_32_UNIV__I) ).

fof(c_0_672,axiom,
    ! [X199] :
      ( X199 != zero_zero_nat
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199)) ),
    file('<stdin>',fact_613_gr0I) ).

fof(c_0_673,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
    file('<stdin>',fact_623_less__eq__nat_Osimps_I1_J) ).

fof(c_0_674,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
    file('<stdin>',fact_612_le0) ).

fof(c_0_675,axiom,
    ? [X214] :
      ( is_fun20916972t_bool(X214)
      & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X214),arrow_912654623le_Lin)) ),
    file('<stdin>',fact_579_linear__alt) ).

fof(c_0_676,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    file('<stdin>',fact_74__096Lba_A_058_ALin_096) ).

fof(c_0_677,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    file('<stdin>',fact_73__096Lab_A_058_ALin_096) ).

fof(c_0_678,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    file('<stdin>',fact_3__096P_A_058_AProf_096) ).

fof(c_0_679,axiom,
    ! [X197,X199] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = X197
     => X199 = zero_zero_nat ),
    file('<stdin>',fact_621_add__eq__self__zero) ).

fof(c_0_680,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = zero_zero_nat
    <=> ( X200 = zero_zero_nat
        & X26 = zero_zero_nat ) ),
    file('<stdin>',fact_620_add__is__0) ).

fof(c_0_681,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),one_one_nat),
    file('<stdin>',fact_688_Suc__eq__plus1) ).

fof(c_0_682,axiom,
    ! [X24] : hAPP_n1699378549t_bool(ord_less_nat,X24) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X24)),
    file('<stdin>',fact_679_less__eq__Suc__le__raw) ).

fof(c_0_683,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X199),
    file('<stdin>',fact_687_Suc__eq__plus1__left) ).

fof(c_0_684,axiom,
    ! [X4] :
      ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_54_top__apply) ).

fof(c_0_685,axiom,
    ! [X4] :
      ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_53_top__apply) ).

fof(c_0_686,axiom,
    ! [X4] :
      ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_52_top__apply) ).

fof(c_0_687,axiom,
    ! [X4] :
      ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_51_top__apply) ).

fof(c_0_688,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_50_top__apply) ).

fof(c_0_689,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_49_top__apply) ).

fof(c_0_690,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    file('<stdin>',fact_48_top__apply) ).

fof(c_0_691,axiom,
    ! [X226,X227] :
      ( is_fun1420103068l_bool(X226)
     => hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_050) ).

fof(c_0_692,axiom,
    ! [X226,X227] :
      ( is_fun701126715l_bool(X226)
     => hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) ).

fof(c_0_693,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) ).

fof(c_0_694,axiom,
    ! [X226,X227] :
      ( is_fun1420103068l_bool(X226)
     => hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) ).

fof(c_0_695,axiom,
    ! [X226,X227] :
      ( is_fun2015243113i_bool(X226)
     => hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).

fof(c_0_696,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).

fof(c_0_697,axiom,
    ! [X226,X227] :
      ( is_fun20916972t_bool(X226)
     => hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_045) ).

fof(c_0_698,axiom,
    ! [X226,X227] :
      ( is_fun20916972t_bool(X226)
     => hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).

fof(c_0_699,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).

fof(c_0_700,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) ).

fof(c_0_701,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl) ).

fof(c_0_702,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Product____Type__Ounit_U) ).

fof(c_0_703,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X226),X227) = X226 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U) ).

fof(c_0_704,axiom,
    ! [X1,X2] :
      ( ( is_fun2015243113i_bool(X1)
        & is_Arr859726945e_indi(X2) )
     => is_bool(hAPP_A416869060i_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O) ).

fof(c_0_705,axiom,
    ! [X217,X218] :
      ( hAPP_nat_nat(suc,X217) = hAPP_nat_nat(suc,X218)
    <=> X217 = X218 ),
    file('<stdin>',fact_639_nat_Oinject) ).

fof(c_0_706,axiom,
    ! [X201,X202] :
      ( hAPP_nat_nat(suc,X201) = hAPP_nat_nat(suc,X202)
     => X201 = X202 ),
    file('<stdin>',fact_638_Suc__inject) ).

fof(c_0_707,axiom,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    file('<stdin>',fact_605_infinite__UNIV__nat) ).

fof(c_0_708,axiom,
    ! [X226,X227] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X226),X227) = X226,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).

fof(c_0_709,axiom,
    ! [X226,X227] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X226),X227) = X226,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Arrow___) ).

fof(c_0_710,axiom,
    ! [X226,X227] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X226),X227) = X226,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona) ).

fof(c_0_711,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X1)
     => is_bool(hAPP_P1813625415t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__039) ).

fof(c_0_712,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___038) ).

fof(c_0_713,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___037) ).

fof(c_0_714,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___036) ).

fof(c_0_715,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___035) ).

fof(c_0_716,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___034) ).

fof(c_0_717,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).

fof(c_0_718,axiom,
    ! [X1,X2] :
      ( is_fun1420103068l_bool(X2)
     => is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_031) ).

fof(c_0_719,axiom,
    ! [X1,X2] :
      ( is_fun1420103068l_bool(X2)
     => is_bool(hAPP_f560517119l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_030) ).

fof(c_0_720,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X2)
     => is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_024) ).

fof(c_0_721,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X2)
     => is_bool(hAPP_f322109294l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_023) ).

fof(c_0_722,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X1)
     => is_bool(hAPP_f446648900l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_017) ).

fof(c_0_723,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X2)
     => is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_015) ).

fof(c_0_724,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X2)
     => is_bool(hAPP_f147218624l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_014) ).

fof(c_0_725,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X2)
     => is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__fun_I) ).

fof(c_0_726,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X2)
     => is_bool(hAPP_f2028818269l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__HOL__) ).

fof(c_0_727,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X1)
     => is_bool(hAPP_f1378099862l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__007) ).

fof(c_0_728,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X2)
     => is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__005) ).

fof(c_0_729,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X2)
     => is_bool(hAPP_f160177134l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_) ).

fof(c_0_730,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X1)
     => is_bool(hAPP_P1676879539t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__HOL__Obool) ).

fof(c_0_731,axiom,
    ! [X1,X2] :
      ( is_fun1084921220e_indi(X1)
     => is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) ).

fof(c_0_732,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).

fof(c_0_733,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).

fof(c_0_734,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) ).

fof(c_0_735,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).

fof(c_0_736,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Ob) ).

fof(c_0_737,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls) ).

fof(c_0_738,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_bool(hAPP_bool_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).

fof(c_0_739,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_004) ).

fof(c_0_740,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_003) ).

fof(c_0_741,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_002) ).

fof(c_0_742,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It) ).

fof(c_0_743,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_001) ).

fof(c_0_744,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc) ).

fof(c_0_745,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_bool(hAPP_A1120018583t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob) ).

fof(c_0_746,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X1)
     => is_fun1084921220e_indi(hilber951314860di_nat(X1,X2)) ),
    file('<stdin>',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____wylsunqmt) ).

fof(c_0_747,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X1)
     => is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) ).

fof(c_0_748,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X1)
     => is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin) ).

fof(c_0_749,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X1)
     => is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2)) ),
    file('<stdin>',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_) ).

fof(c_0_750,axiom,
    ! [X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X209)),
    file('<stdin>',fact_672_inj__Suc) ).

fof(c_0_751,axiom,
    ! [X197] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),zero_zero_nat) = X197,
    file('<stdin>',fact_619_Nat_Oadd__0__right) ).

fof(c_0_752,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X71)),
    file('<stdin>',fact_376_inj__on__id2) ).

fof(c_0_753,axiom,
    ! [X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X199) = X199,
    file('<stdin>',fact_618_plus__nat_Oadd__0) ).

fof(c_0_754,axiom,
    ! [X71] : pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    file('<stdin>',fact_223_Pi__UNIV) ).

fof(c_0_755,axiom,
    ! [X71] : pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    file('<stdin>',fact_222_Pi__UNIV) ).

fof(c_0_756,axiom,
    ! [X71] : pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    file('<stdin>',fact_221_Pi__UNIV) ).

fof(c_0_757,axiom,
    ~ ! [X225] :
        ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X225),top_to207207712i_bool))
       => image_837079859di_nat(X225,top_to207207712i_bool) != hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ),
    file('<stdin>',fact_698__096_B_Bthesis_O_A_I_B_Bh_O_A_091_124_Ainj_Ah_059_Arange_Ah_A_061_A_123) ).

fof(c_0_758,axiom,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    file('<stdin>',fact_20_injh) ).

fof(c_0_759,axiom,
    arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
    file('<stdin>',fact_375_Prof__def) ).

fof(c_0_760,axiom,
    image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
    file('<stdin>',fact_696_surjh) ).

fof(c_0_761,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__041) ).

fof(c_0_762,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__040) ).

fof(c_0_763,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_) ).

fof(c_0_764,axiom,
    ! [X1,X2] : is_bool(hAPP_f557371893l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_032) ).

fof(c_0_765,axiom,
    ! [X1,X2] : is_bool(hAPP_f817344902l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl) ).

fof(c_0_766,axiom,
    ! [X1,X2] : is_bool(hAPP_f1363425282l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_029) ).

fof(c_0_767,axiom,
    ! [X1,X2] : is_bool(hAPP_f1384787615l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_028) ).

fof(c_0_768,axiom,
    ! [X1,X2] : is_bool(hAPP_f560261801l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_027) ).

fof(c_0_769,axiom,
    ! [X1,X2] : is_bool(hAPP_f1021828400l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).

fof(c_0_770,axiom,
    ! [X1,X2] : is_bool(hAPP_f966397426l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_026) ).

fof(c_0_771,axiom,
    ! [X1,X2] : is_bool(hAPP_f750478076l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_025) ).

fof(c_0_772,axiom,
    ! [X1,X2] : is_bool(hAPP_f742658307l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).

fof(c_0_773,axiom,
    ! [X1,X2] : is_bool(hAPP_f1082951236l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_022) ).

fof(c_0_774,axiom,
    ! [X1,X2] : is_bool(hAPP_f1138659662l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_021) ).

fof(c_0_775,axiom,
    ! [X1,X2] : is_bool(hAPP_f882250837l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls) ).

fof(c_0_776,axiom,
    ! [X1,X2] : is_bool(hAPP_f1117143157l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__prod_Itc__Arrow_) ).

fof(c_0_777,axiom,
    ! [X1,X2] : is_bool(hAPP_f1965705105l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__prod_It) ).

fof(c_0_778,axiom,
    ! [X1,X2] : is_bool(hAPP_f1597773170l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__fun_Itc) ).

fof(c_0_779,axiom,
    ! [X1,X2] : is_bool(hAPP_f866114756l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__Arrow__) ).

fof(c_0_780,axiom,
    ! [X1,X2] : is_bool(hAPP_f339859954l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__Nat__Onat_J_Mtc_) ).

fof(c_0_781,axiom,
    ! [X1,X2] : is_bool(hAPP_f537623936l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Product____Type__Ounit_J_Mtc_) ).

fof(c_0_782,axiom,
    ! [X1,X2] : is_bool(hAPP_f1426445843l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Nat__Onat_J_Mtc__HOL__Obool_J) ).

fof(c_0_783,axiom,
    ! [X1,X2] : is_bool(hAPP_f1637334154l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_) ).

fof(c_0_784,axiom,
    ! [X1,X2] : is_bool(hAPP_f1428735377l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Arrow____Order____Mirabelle__) ).

fof(c_0_785,axiom,
    ! [X1,X2] : is_bool(hAPP_f2053170815l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) ).

fof(c_0_786,axiom,
    ! [X1,X2] : is_bool(hAPP_f937100551l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) ).

fof(c_0_787,axiom,
    ! [X1,X2] : is_bool(hAPP_f740740988l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) ).

fof(c_0_788,axiom,
    ! [X1,X2] : is_bool(hAPP_f620747982l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) ).

fof(c_0_789,axiom,
    ! [X1,X2] : is_bool(hAPP_f67777128l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__Nat__Onat_J_Mtc__HOL__Obool_) ).

fof(c_0_790,axiom,
    ! [X1,X2] : is_bool(hAPP_f1291635206l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_020) ).

fof(c_0_791,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_019) ).

fof(c_0_792,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_018) ).

fof(c_0_793,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_016) ).

fof(c_0_794,axiom,
    ! [X1,X2] : is_bool(hAPP_f2016919811l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_013) ).

fof(c_0_795,axiom,
    ! [X1,X2] : is_bool(hAPP_f1898839893l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_012) ).

fof(c_0_796,axiom,
    ! [X1,X2] : is_bool(hAPP_f599997089l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).

fof(c_0_797,axiom,
    ! [X1,X2] : is_bool(hAPP_f54304608l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

fof(c_0_798,axiom,
    ! [X1,X2] : is_bool(hAPP_f387058535l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

fof(c_0_799,axiom,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__010) ).

fof(c_0_800,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__009) ).

fof(c_0_801,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__008) ).

fof(c_0_802,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__006) ).

fof(c_0_803,axiom,
    ! [X1,X2] : is_bool(hAPP_f212509069l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__) ).

fof(c_0_804,axiom,
    ! [X1,X2] : is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__prod_Itc__Arrow____Orde) ).

fof(c_0_805,axiom,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__prod_Itc__Arro) ).

fof(c_0_806,axiom,
    ! [X1,X2] : is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow) ).

fof(c_0_807,axiom,
    ! [X1,X2] : is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__Arrow____Order) ).

fof(c_0_808,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obo) ).

fof(c_0_809,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsu) ).

fof(c_0_810,axiom,
    ! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).

fof(c_0_811,axiom,
    ! [X4] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4)),
    file('<stdin>',fact_31_top1I) ).

fof(c_0_812,axiom,
    ! [X4] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4)),
    file('<stdin>',fact_30_top1I) ).

fof(c_0_813,axiom,
    ! [X4] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4)),
    file('<stdin>',fact_29_top1I) ).

fof(c_0_814,axiom,
    ! [X4] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4)),
    file('<stdin>',fact_28_top1I) ).

fof(c_0_815,axiom,
    ! [X4] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4)),
    file('<stdin>',fact_27_top1I) ).

fof(c_0_816,axiom,
    ! [X4] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4)),
    file('<stdin>',fact_26_top1I) ).

fof(c_0_817,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4)),
    file('<stdin>',fact_25_top1I) ).

fof(c_0_818,axiom,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    file('<stdin>',fact_595_finite__indi) ).

fof(c_0_819,axiom,
    top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
    file('<stdin>',fact_167_UNIV__def) ).

fof(c_0_820,axiom,
    top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
    file('<stdin>',fact_166_UNIV__def) ).

fof(c_0_821,axiom,
    top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
    file('<stdin>',fact_165_UNIV__def) ).

fof(c_0_822,axiom,
    top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
    file('<stdin>',fact_164_UNIV__def) ).

fof(c_0_823,axiom,
    top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
    file('<stdin>',fact_163_UNIV__def) ).

fof(c_0_824,axiom,
    top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
    file('<stdin>',fact_162_UNIV__def) ).

fof(c_0_825,axiom,
    top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
    file('<stdin>',fact_161_UNIV__def) ).

fof(c_0_826,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    file('<stdin>',fact_1_u) ).

fof(c_0_827,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    file('<stdin>',fact_0_assms_I3_J) ).

fof(c_0_828,axiom,
    ! [X199] : X199 != hAPP_nat_nat(suc,X199),
    file('<stdin>',fact_641_n__not__Suc__n) ).

fof(c_0_829,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) != X199,
    file('<stdin>',fact_640_Suc__n__not__n) ).

fof(c_0_830,axiom,
    ! [X202] :
      ( X202 != zero_zero_nat
     => ~ ! [X223] : X202 != hAPP_nat_nat(suc,X223) ),
    file('<stdin>',fact_693_nat_Oexhaust) ).

fof(c_0_831,axiom,
    ! [X199] :
      ( X199 != zero_zero_nat
     => ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
    file('<stdin>',fact_692_not0__implies__Suc) ).

fof(c_0_832,axiom,
    ! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
    file('<stdin>',fact_678_Zero__not__Suc) ).

fof(c_0_833,axiom,
    ! [X220] : zero_zero_nat != hAPP_nat_nat(suc,X220),
    file('<stdin>',fact_677_nat_Osimps_I2_J) ).

fof(c_0_834,axiom,
    ! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
    file('<stdin>',fact_676_Suc__not__Zero) ).

fof(c_0_835,axiom,
    ! [X219] : hAPP_nat_nat(suc,X219) != zero_zero_nat,
    file('<stdin>',fact_675_nat_Osimps_I3_J) ).

fof(c_0_836,axiom,
    ! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
    file('<stdin>',fact_674_Zero__neq__Suc) ).

fof(c_0_837,axiom,
    ! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
    file('<stdin>',fact_673_Suc__neq__Zero) ).

fof(c_0_838,axiom,
    ! [X1] :
      ( is_fun20916972t_bool(X1)
     => is_fun20916972t_bool(collec1376511890le_alt(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).

fof(c_0_839,axiom,
    ! [X1] :
      ( is_fun1420103068l_bool(X1)
     => is_fun1420103068l_bool(collec612883262t_bool(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls) ).

fof(c_0_840,axiom,
    ! [X1] :
      ( is_fun292781289l_bool(X1)
     => is_fun292781289l_bool(collec1517527055t_bool(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu) ).

fof(c_0_841,axiom,
    ! [X1] :
      ( is_fun701126715l_bool(X1)
     => is_fun701126715l_bool(collec1567922785t_bool(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) ).

fof(c_0_842,axiom,
    ! [X1] :
      ( is_fun1568535512t_bool(X1)
     => is_fun1568535512t_bool(collect_Product_unit(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__Product____Type__Ounit) ).

fof(c_0_843,axiom,
    ! [X1] :
      ( is_fun2015243113i_bool(X1)
     => is_fun2015243113i_bool(collec279390863e_indi(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) ).

fof(c_0_844,axiom,
    ! [X1] :
      ( is_fun20916972t_bool(X1)
     => is_fun1420103068l_bool(inj_on398823523t_bool(X1)) ),
    file('<stdin>',gsy_c_Fun_Oinj__on_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).

fof(c_0_845,axiom,
    ! [X226] : hAPP_nat_nat(cOMBI_nat,X226) = X226,
    file('<stdin>',help_COMBI_1_1_COMBI_000tc__Nat__Onat_U) ).

fof(c_0_846,axiom,
    ! [X9] :
      ( is_fun2015243113i_bool(X9)
     => collec279390863e_indi(X9) = X9 ),
    file('<stdin>',fact_177_Collect__def) ).

fof(c_0_847,axiom,
    ! [X9] :
      ( is_fun1568535512t_bool(X9)
     => collect_Product_unit(X9) = X9 ),
    file('<stdin>',fact_176_Collect__def) ).

fof(c_0_848,axiom,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    file('<stdin>',fact_656_One__nat__def) ).

fof(c_0_849,axiom,
    ! [X226] :
      ( is_bool(X226)
     => ( X226 = fTrue
        | X226 = fFalse ) ),
    file('<stdin>',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).

fof(c_0_850,axiom,
    ! [X226] :
      ( is_bool(X226)
     => ( X226 = fTrue
        | X226 = fFalse ) ),
    file('<stdin>',help_fTrue_1_1_T) ).

fof(c_0_851,axiom,
    is_bool(undefined_bool(bool)),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__HOL__Obool) ).

fof(c_0_852,axiom,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) ).

fof(c_0_853,axiom,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).

fof(c_0_854,axiom,
    ! [X9] : collect_nat(X9) = X9,
    file('<stdin>',fact_178_Collect__def) ).

fof(c_0_855,axiom,
    ! [X4] :
      ( one_one_nat = X4
    <=> X4 = one_one_nat ),
    file('<stdin>',fact_421_one__reorient) ).

fof(c_0_856,axiom,
    hBOOL(fTrue),
    file('<stdin>',help_fTrue_1_1_U) ).

fof(c_0_857,axiom,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    file('<stdin>',fact_603_card__UNIV__unit) ).

fof(c_0_858,axiom,
    is_Arr723427730le_alt(e),
    file('<stdin>',gsy_v_e____) ).

fof(c_0_859,axiom,
    is_Arr723427730le_alt(b),
    file('<stdin>',gsy_v_b____) ).

fof(c_0_860,axiom,
    is_Arr723427730le_alt(a),
    file('<stdin>',gsy_v_a____) ).

fof(c_0_861,axiom,
    is_fun20916972t_bool(lba),
    file('<stdin>',gsy_v_Lba____) ).

fof(c_0_862,axiom,
    is_fun20916972t_bool(lab),
    file('<stdin>',gsy_v_Lab____) ).

fof(c_0_863,axiom,
    is_bool(fTrue),
    file('<stdin>',gsy_c_fTrue) ).

fof(c_0_864,axiom,
    is_bool(fFalse),
    file('<stdin>',gsy_c_fFalse) ).

fof(c_0_865,axiom,
    is_fun20916972t_bool(top_to1773227171t_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).

fof(c_0_866,axiom,
    is_fun1420103068l_bool(top_to846262053l_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).

fof(c_0_867,axiom,
    is_fun292781289l_bool(top_to1849101472l_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).

fof(c_0_868,axiom,
    is_fun701126715l_bool(top_to935749874l_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).

fof(c_0_869,axiom,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL) ).

fof(c_0_870,axiom,
    is_fun2015243113i_bool(top_to207207712i_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).

fof(c_0_871,axiom,
    is_bool(top_top_bool),
    file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).

fof(c_0_872,axiom,
    is_fun1420103068l_bool(finite955821396le_alt),
    file('<stdin>',gsy_c_Finite__Set_Ofinite_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsun) ).

fof(c_0_873,axiom,
    is_fun292781289l_bool(arrow_1550141362nimity),
    file('<stdin>',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Ounanimity) ).

fof(c_0_874,axiom,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    file('<stdin>',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf) ).

fof(c_0_875,axiom,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    file('<stdin>',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin) ).

fof(c_0_876,axiom,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    file('<stdin>',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OIIA) ).

fof(c_0_877,axiom,
    a != b,
    file('<stdin>',fact_75__096a_A_126_061_Ab_096) ).

fof(c_0_878,axiom,
    c != d,
    file('<stdin>',fact_2__096c_A_126_061_Ad_096) ).

fof(c_0_879,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( X12 != X11
           => ( X13 != X10
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
               => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                     => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
    c_0_0 ).

fof(c_0_880,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( X12 != X11
           => ( X13 != X10
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
               => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
    c_0_1 ).

fof(c_0_881,axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X10 != X11
         => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
           => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
             => ( ! [X14] :
                    ( is_Arr859726945e_indi(X14)
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
               => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ),
    c_0_2 ).

fof(c_0_882,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    c_0_3 ).

fof(c_0_883,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    c_0_4 ).

fof(c_0_884,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    c_0_5 ).

fof(c_0_885,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_6 ).

fof(c_0_886,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_7 ).

fof(c_0_887,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_8 ).

fof(c_0_888,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    c_0_9 ).

fof(c_0_889,plain,
    ~ ! [X78] :
        ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
       => ( ! [X29] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
         => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_890,axiom,
    ? [X78] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
      & ! [X29] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
      & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ),
    c_0_11 ).

fof(c_0_891,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    c_0_12 ).

fof(c_0_892,axiom,
    ! [X23] :
      ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X23))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => ! [X25] :
              ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X25),arrow_583275979e_Prof))
             => ! [X17,X18] :
                  ( ( is_Arr723427730le_alt(X17)
                    & is_Arr723427730le_alt(X18) )
                 => ( ! [X14] :
                        ( is_Arr859726945e_indi(X14)
                       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14)))
                        <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X25,X14))) ) )
                   => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24)))
                    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X25))) ) ) ) ) ) ),
    c_0_13 ).

fof(c_0_893,axiom,
    ! [X8,X9,X15,X12,X13] :
      ( ( is_Arr723427730le_alt(X15)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( X13 != X15
         => ( X12 != X15
           => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
             => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
               => ( ! [X14] :
                      ( is_Arr859726945e_indi(X14)
                     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                      <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_A340536322t_bool(X8,X14))) ) )
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
                  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ),
    c_0_14 ).

fof(c_0_894,axiom,
    ! [X29] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),n))
     => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) ),
    c_0_15 ).

fof(c_0_895,axiom,
    ! [X26] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X26))),lab)),lba)),arrow_583275979e_Prof)),
    c_0_16 ).

fof(c_0_896,axiom,
    ! [X8,X9,X12,X13] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
         => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
           => ( ! [X14] :
                  ( is_Arr859726945e_indi(X14)
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
                  <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_A340536322t_bool(X8,X14))) ) )
             => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
              <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ),
    c_0_17 ).

fof(c_0_897,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X73)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X72)))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
    c_0_18 ).

fof(c_0_898,axiom,
    ! [X75,X221] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
    c_0_19 ).

fof(c_0_899,plain,
    ! [X14] :
      ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_900,axiom,
    ! [X23] :
      ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X23))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => ! [X17,X18] :
              ( ( is_Arr723427730le_alt(X17)
                & is_Arr723427730le_alt(X18) )
             => ( ! [X14] :
                    ( is_Arr859726945e_indi(X14)
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14))) )
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) ),
    c_0_21 ).

fof(c_0_901,plain,
    ! [X14] :
      ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_902,plain,
    ! [X14] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X14)))
    <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
        & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
         => ( ( hAPP_A1895296483di_nat(h,X14) = n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
            & ( hAPP_A1895296483di_nat(h,X14) != n
             => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_903,axiom,
    ! [X76,X81,X74,X71] :
      ( ! [X215] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X215),X71))
         => ( hBOOL(hAPP_P1813625415t_bool(X74,X215))
          <=> hBOOL(hAPP_P1813625415t_bool(X81,X215)) ) )
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
      <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X81),pi_Pro1873779901t_bool(X71,X76))) ) ),
    c_0_24 ).

fof(c_0_904,axiom,
    ! [X200,X206,X74] :
      ( ! [X29,X78] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X78))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X29)),hAPP_nat_nat(X74,X78))) )
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X74,X200)),X206)),hAPP_nat_nat(X74,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206)))) ),
    c_0_25 ).

fof(c_0_905,plain,
    ! [X75,X221] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_906,axiom,
    ! [X72,X73] :
      ( ( is_fun20916972t_bool(X72)
        & is_fun20916972t_bool(X73) )
     => ( ! [X24,X25] :
            ( ( is_Arr723427730le_alt(X24)
              & is_Arr723427730le_alt(X25) )
           => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X73))
            <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X72)) ) )
      <=> X73 = X72 ) ),
    c_0_27 ).

fof(c_0_907,axiom,
    ! [X75,X212,X74] :
      ( ! [X14,X213] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X213))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X14)),hAPP_nat_nat(X74,X213))) )
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X74,X75)),hAPP_nat_nat(X74,X212))) ) ),
    c_0_28 ).

fof(c_0_908,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X76,X24)),hAPP_f1895971544l_bool(X195,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X71,X195))) ),
    c_0_29 ).

fof(c_0_909,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X76,X24)),hAPP_A659996934l_bool(X195,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X71,X195))) ),
    c_0_30 ).

fof(c_0_910,axiom,
    ! [X76,X195,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X76,X24)),hAPP_P1122857141l_bool(X195,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X71,X195))) ),
    c_0_31 ).

fof(c_0_911,axiom,
    ! [X4,X5,X6,X12,X13] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X12),X13)))
          <=> ( X4 != X5
              & ( X4 = X13
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X5)),X6)) )
              & ( X4 != X13
               => ( ( X5 = X13
                   => ( X4 = X12
                      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X12)),X6)) ) )
                  & ( X5 != X13
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
    c_0_32 ).

fof(c_0_912,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
    c_0_33 ).

fof(c_0_913,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
    c_0_34 ).

fof(c_0_914,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
    c_0_35 ).

fof(c_0_915,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
    c_0_36 ).

fof(c_0_916,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
    c_0_37 ).

fof(c_0_917,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
    c_0_38 ).

fof(c_0_918,axiom,
    ! [X4,X5,X6,X12,X13] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),arrow_207701375_below(X6,X12,X13)))
          <=> ( X4 != X5
              & ( X5 = X12
               => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X13)),X6)) )
              & ( X5 != X12
               => ( ( X4 = X12
                   => ( X5 = X13
                      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X5)),X6)) ) )
                  & ( X4 != X12
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
    c_0_39 ).

fof(c_0_919,axiom,
    ! [X76,X74,X81,X71] :
      ( ! [X215] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X215),X71))
         => hAPP_f1817389232t_bool(X74,X215) = hAPP_f1817389232t_bool(X81,X215) )
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
      <=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X71,X76))) ) ),
    c_0_40 ).

fof(c_0_920,axiom,
    ! [X76,X74,X81,X71] :
      ( ! [X215] :
          ( is_Arr859726945e_indi(X215)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X215),X71))
           => hAPP_A340536322t_bool(X74,X215) = hAPP_A340536322t_bool(X81,X215) ) )
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
      <=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X71,X76))) ) ),
    c_0_41 ).

fof(c_0_921,axiom,
    ! [X75,X23] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X23),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
     => ( ! [X24] :
            ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
           => ! [X17,X18] :
                ( ( is_Arr723427730le_alt(X17)
                  & is_Arr723427730le_alt(X18) )
               => ( X17 != X18
                 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X75)))
                   => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) )
       => hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75)) ) ),
    c_0_42 ).

fof(c_0_922,axiom,
    ! [X75,X221] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
     => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) != zero_zero_nat ),
    c_0_43 ).

fof(c_0_923,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),X76)) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76)))) ),
    c_0_44 ).

fof(c_0_924,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),X76)) ) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76)))) ),
    c_0_45 ).

fof(c_0_925,axiom,
    ! [X74,X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),X76)) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76)))) ),
    c_0_46 ).

fof(c_0_926,axiom,
    ! [X216,X74] :
      ( ! [X78] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X78),hAPP_nat_nat(X74,X78)))
     => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X74)),X216)))) ),
    c_0_47 ).

fof(c_0_927,plain,
    ! [X4,X5,X6] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
       => ( X4 != X5
         => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6))
          <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),X6)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_928,plain,
    ! [X12,X13,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X6))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),X6)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_929,axiom,
    ! [X4,X5,X6,X7] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X7) )
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X7)))
      <=> ( X4 != X7
          & ( X5 = X7
           => X4 != X5 )
          & ( X5 != X7
           => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
    c_0_50 ).

fof(c_0_930,axiom,
    ! [X4,X5,X6,X7] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5)
        & is_Arr723427730le_alt(X7) )
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X7)))
      <=> ( X5 != X7
          & ( X4 = X7
           => X4 != X5 )
          & ( X4 != X7
           => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
    c_0_51 ).

fof(c_0_931,axiom,
    ! [X74,X81] :
      ( ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24)))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81)) ),
    c_0_52 ).

fof(c_0_932,axiom,
    ! [X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
    <=> ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24))) ),
    c_0_53 ).

fof(c_0_933,axiom,
    ! [X9,X75] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X9),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))),
    c_0_54 ).

fof(c_0_934,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
       => ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X81),pi_fun328162388t_bool(X76,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X71))))
         => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X81),X76))
           => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X71))
             => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
               => finite1524925796t_bool(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
    c_0_55 ).

fof(c_0_935,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
       => ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X81),pi_fun596906370e_indi(X76,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X71))))
         => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X81),X76))
           => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X71))
             => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
               => finite354462354e_indi(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
    c_0_56 ).

fof(c_0_936,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
       => ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X81),pi_boo1542163389le_alt(X76,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X71))))
         => ( hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X81),X76))
           => ( hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X71))
             => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
               => finite1044330389le_alt(X71) = finite_card_bool(X76) ) ) ) ) ) ),
    c_0_57 ).

fof(c_0_937,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X74),pi_fun328162388t_bool(X71,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X76))))
     => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X74),X71))
       => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X76,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X71))))
         => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X81),X76))
           => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
             => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X76))
               => finite945540987t_bool(X71) = finite1524925796t_bool(X76) ) ) ) ) ) ),
    c_0_58 ).

fof(c_0_938,axiom,
    ! [X81,X74,X71,X76] :
      ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X76))))
     => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X74),X71))
       => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X76,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X71))))
         => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X81),X76))
           => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
             => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X76))
               => finite945540987t_bool(X71) = finite354462354e_indi(X76) ) ) ) ) ) ),
    c_0_59 ).

fof(c_0_939,axiom,
    ! [X6,X4,X5] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( X4 != X5
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X4),X5)),arrow_912654623le_Lin)) ) ) ),
    c_0_60 ).

fof(c_0_940,axiom,
    ! [X71,X206] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71)))))
     => X71 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71))) ),
    c_0_61 ).

fof(c_0_941,axiom,
    ! [X206,X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
    c_0_62 ).

fof(c_0_942,axiom,
    ! [X206,X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    c_0_63 ).

fof(c_0_943,axiom,
    ! [X12,X15,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
    c_0_64 ).

fof(c_0_944,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
    c_0_65 ).

fof(c_0_945,axiom,
    ! [X182,X183,X184] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X182),X183)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X184),X183)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X182),X184)) ),
    c_0_66 ).

fof(c_0_946,axiom,
    ! [X179,X180,X181] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X180)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X181)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X180),X181)) ),
    c_0_67 ).

fof(c_0_947,axiom,
    ! [X12,X15,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
    c_0_68 ).

fof(c_0_948,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
    c_0_69 ).

fof(c_0_949,axiom,
    ! [X166,X167,X168] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X166),X167)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X168),X167)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X166),X168)) ),
    c_0_70 ).

fof(c_0_950,axiom,
    ! [X163,X164,X165] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X164)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X165)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X164),X165)) ),
    c_0_71 ).

fof(c_0_951,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X73)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X72)))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
    c_0_72 ).

fof(c_0_952,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X73)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X72)))
    <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X73),X72)) ),
    c_0_73 ).

fof(c_0_953,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X73)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X72)))
    <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X73),X72)) ),
    c_0_74 ).

fof(c_0_954,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X73)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X72)))
    <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X73),X72)) ),
    c_0_75 ).

fof(c_0_955,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X73)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X72)))
    <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X73),X72)) ),
    c_0_76 ).

fof(c_0_956,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X73)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X72)))
    <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X73),X72)) ),
    c_0_77 ).

fof(c_0_957,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X73)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X72)))
    <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X73),X72)) ),
    c_0_78 ).

fof(c_0_958,axiom,
    ! [X73,X72] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X73)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X72)))
    <=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X73),X72)) ),
    c_0_79 ).

fof(c_0_959,axiom,
    ! [X198,X210,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X210))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
    c_0_80 ).

fof(c_0_960,axiom,
    ! [X198,X210,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
    c_0_81 ).

fof(c_0_961,axiom,
    ! [X185,X186,X187,X188] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X187),X188))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X185),X186))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X187),X185)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X188),X186))) ) ),
    c_0_82 ).

fof(c_0_962,axiom,
    ! [X169,X170,X171,X172] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X171),X172))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X170))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X171),X169)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X172),X170))) ) ),
    c_0_83 ).

fof(c_0_963,axiom,
    ! [X145,X146,X147,X148] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X147),X148))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X145),X146))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X147),X145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X148),X146))) ) ),
    c_0_84 ).

fof(c_0_964,axiom,
    ! [X141,X142,X143,X144] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X143),X144))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X141),X142))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X143),X141)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X144),X142))) ) ),
    c_0_85 ).

fof(c_0_965,axiom,
    ! [X9,X75,X212] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
     => ( hBOOL(hAPP_nat_bool(X9,X212))
       => ( ! [X14] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X212))
             => ( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X14)))
               => hBOOL(hAPP_nat_bool(X9,X14)) ) )
         => hBOOL(hAPP_nat_bool(X9,X75)) ) ) ),
    c_0_86 ).

fof(c_0_966,axiom,
    ! [X73,X4,X5] :
      ( hBOOL(in_rel1361124802le_alt(X73,X4,X5))
    <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X73)) ),
    c_0_87 ).

fof(c_0_967,axiom,
    ! [X207,X208,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X198))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198)) ),
    c_0_88 ).

fof(c_0_968,axiom,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ),
    c_0_89 ).

fof(c_0_969,axiom,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    c_0_90 ).

fof(c_0_970,plain,
    ! [X197,X198,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
     => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
         => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_971,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),X76)) ) ),
    c_0_92 ).

fof(c_0_972,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),X76)) ) ),
    c_0_93 ).

fof(c_0_973,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),X76)) ) ),
    c_0_94 ).

fof(c_0_974,axiom,
    ! [X6,X4,X5] :
      ( ( is_Arr723427730le_alt(X4)
        & is_Arr723427730le_alt(X5) )
     => ( X4 != X5
       => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
         => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X6,X4,X5)),arrow_912654623le_Lin)) ) ) ),
    c_0_95 ).

fof(c_0_975,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
    c_0_96 ).

fof(c_0_976,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
    c_0_97 ).

fof(c_0_977,axiom,
    ! [X192,X193,X194] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X193),X194))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X193),X192)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X194),X192))) ),
    c_0_98 ).

fof(c_0_978,axiom,
    ! [X189,X190,X191] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X190),X191))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X190)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X191))) ),
    c_0_99 ).

fof(c_0_979,axiom,
    ! [X176,X177,X178] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X178))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X177),X176)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X178),X176))) ),
    c_0_100 ).

fof(c_0_980,axiom,
    ! [X173,X174,X175] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X174),X175))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X174)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X175))) ),
    c_0_101 ).

fof(c_0_981,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    c_0_102 ).

fof(c_0_982,axiom,
    ! [X74,X81,X71] :
      ( ! [X17] :
          ( is_Arr859726945e_indi(X17)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X17),X71))
           => hAPP_A1895296483di_nat(X74,X17) = hAPP_A1895296483di_nat(X81,X17) ) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
      <=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X81),X71)) ) ),
    c_0_103 ).

fof(c_0_983,axiom,
    ! [X74,X81,X71] :
      ( ! [X17] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X17),X71))
         => hAPP_nat_nat(X74,X17) = hAPP_nat_nat(X81,X17) )
     => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
      <=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X81),X71)) ) ),
    c_0_104 ).

fof(c_0_984,plain,
    ! [X208,X207] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X207)),X207)),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_985,plain,
    ! [X207,X208] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X207)),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_986,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
     => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
       => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X71)),finite945540987t_bool(X76))) ) ) ),
    c_0_107 ).

fof(c_0_987,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
       => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite945540987t_bool(X76))) ) ) ),
    c_0_108 ).

fof(c_0_988,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
     => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
       => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X71)),finite_card_bool(X76))) ) ) ),
    c_0_109 ).

fof(c_0_989,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X76))))
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite_card_nat(X76))) ) ) ),
    c_0_110 ).

fof(c_0_990,axiom,
    ! [X74,X71,X76] :
      ( hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X74),pi_nat_nat(X71,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X76))))
     => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
       => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X71)),finite_card_nat(X76))) ) ) ),
    c_0_111 ).

fof(c_0_991,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4))) ) ),
    c_0_112 ).

fof(c_0_992,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4))) ) ),
    c_0_113 ).

fof(c_0_993,axiom,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4))) ) ),
    c_0_114 ).

fof(c_0_994,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_995,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_996,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X74),pi_nat_Product_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X74,X4)),hAPP_n454528608t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_997,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X74),pi_nat_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X74,X4)),hAPP_n1006566506l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_998,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X74),pi_nat1476290531e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X74,X4)),hAPP_n1600508401i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_999,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X74),pi_fun1012573681t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X74,X4)),hAPP_f649586561t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_1000,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X74),pi_fun568395771l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X74,X4)),hAPP_f812095627l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_1001,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X74,X4)),hAPP_f431432850i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_1002,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X74),pi_fun1390764464t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X74,X4)),hAPP_f1841347694t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_1003,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X74),pi_fun187048122l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X74,X4)),hAPP_f721327224l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_1004,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X74),pi_fun1353458625e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X74,X4)),hAPP_f783549695i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_1005,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X74),pi_fun623621634t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X74,X4)),hAPP_f1009478556t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_1006,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X74),pi_fun1236347660l_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X74,X4)),hAPP_f591334822l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_1007,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X74),pi_fun268174099e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X74,X4)),hAPP_f1570138413i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_1008,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X74),pi_Pro269694131t_unit(X71,X76)))
     => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X74,X4)),hAPP_P822772139t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_1009,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X74),pi_Pro58544964e_indi(X71,X76)))
     => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X74,X4)),hAPP_P957402556i_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_1010,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X74),pi_Product_unit_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X74,X4)),hAPP_P32877782t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_1011,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X74),pi_bool_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X74,X4)),hAPP_b1013836512t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_1012,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,X76)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X74,X4)),hAPP_A1948275303t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_1013,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X74),pi_Pro1925515229t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X74,X4)),hAPP_P288224245l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_1014,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X74),pi_boo1746012499t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X74,X4)),hAPP_b805997823l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_1015,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X74),pi_Pro831923248t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X74,X4)),hAPP_P1305865168l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_1016,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X74),pi_boo68262458t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X74,X4)),hAPP_b651754310l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_1017,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X74),pi_Arr742795713t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X74,X4)),hAPP_A955165183l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_1018,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X74),pi_Pro1114473858t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X74,X4)),hAPP_P667392034l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_1019,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X74),pi_boo679625100t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X74,X4)),hAPP_b1461182872l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_1020,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X74),pi_Arr656802323t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X74,X4)),hAPP_A701636433l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_1021,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X74),pi_Pro1208494515le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X74,X4)),hAPP_P401722323t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_1022,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X74),pi_boo1542163389le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X74,X4)),hAPP_b763490121t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_1023,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X74),pi_Arr1064242500le_alt(X71,X76)))
     => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X74,X4)),hAPP_A340536322t_bool(X76,X4)))
       => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_1024,plain,
    ! [X4,X74,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
     => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4)))
       => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_1025,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_1026,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_1027,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X200))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ) ),
    c_0_148 ).

fof(c_0_1028,axiom,
    ! [X4,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X4)),arrow_912654623le_Lin)) ),
    c_0_149 ).

fof(c_0_1029,axiom,
    ! [X4,X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X4)),arrow_912654623le_Lin)) ),
    c_0_150 ).

fof(c_0_1030,axiom,
    ! [X9,X200,X26] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
     => ( ( X200 = X26
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
       => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
           => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) ) ) ),
    c_0_151 ).

fof(c_0_1031,plain,
    ! [X26,X9] :
      ( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( hBOOL(hAPP_nat_bool(X9,X26))
       => ? [X211] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X26))
            & ! [X14] :
                ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X14),X211))
               => ~ hBOOL(hAPP_nat_bool(X9,X14)) )
            & hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),one_one_nat))) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_1032,axiom,
    ! [X12,X13] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13) )
     => ( X12 != X13
       => ? [X24] :
            ( is_fun20916972t_bool(X24)
            & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),arrow_912654623le_Lin))
            & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X24)) ) ) ),
    c_0_153 ).

fof(c_0_1033,axiom,
    ! [X9] :
      ( ! [X16] : hBOOL(hAPP_P1813625415t_bool(X9,X16))
    <=> ! [X17,X18] :
          ( ( is_Arr723427730le_alt(X17)
            & is_Arr723427730le_alt(X18) )
         => hBOOL(hAPP_P1813625415t_bool(X9,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18))) ) ),
    c_0_154 ).

fof(c_0_1034,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199)))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    c_0_155 ).

fof(c_0_1035,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),hAPP_nat_nat(suc,X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    c_0_156 ).

fof(c_0_1036,axiom,
    ! [X26,X200] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),hAPP_nat_nat(suc,X200)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),X200)) ),
    c_0_157 ).

fof(c_0_1037,axiom,
    ! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X197)))),
    c_0_158 ).

fof(c_0_1038,axiom,
    ! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X207)))),
    c_0_159 ).

fof(c_0_1039,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),X198))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198)) ) ),
    c_0_160 ).

fof(c_0_1040,axiom,
    ! [X207,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198))
     => ~ ! [X213] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
           => X198 != hAPP_nat_nat(suc,X213) ) ),
    c_0_161 ).

fof(c_0_1041,plain,
    ! [X200,X26] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_1042,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( X200 = zero_zero_nat
        | ? [X213] :
            ( X200 = hAPP_nat_nat(suc,X213)
            & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X213),X26)) ) ) ),
    c_0_163 ).

fof(c_0_1043,axiom,
    ! [X4,X5,X74,X71] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
             => X4 = X5 ) ) ) ) ),
    c_0_164 ).

fof(c_0_1044,axiom,
    ! [X5,X4,X74,X71] :
      ( ( is_Arr859726945e_indi(X5)
        & is_Arr859726945e_indi(X4) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
           => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
            <=> X4 = X5 ) ) ) ) ),
    c_0_165 ).

fof(c_0_1045,axiom,
    ! [X4,X5,X74,X71] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( X4 != X5
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
             => hAPP_A1895296483di_nat(X74,X4) != hAPP_A1895296483di_nat(X74,X5) ) ) ) ) ),
    c_0_166 ).

fof(c_0_1046,axiom,
    ! [X74,X71] :
      ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
    <=> ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => ! [X25] :
                ( is_Arr859726945e_indi(X25)
               => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X25),X71))
                 => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X25)
                   => X24 = X25 ) ) ) ) ) ),
    c_0_167 ).

fof(c_0_1047,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
         => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X76)) )
     => hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76)) ),
    c_0_168 ).

fof(c_0_1048,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
         => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X76)) )
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76)) ),
    c_0_169 ).

fof(c_0_1049,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X71))
         => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X76)) )
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76)) ),
    c_0_170 ).

fof(c_0_1050,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_fun20916972t_bool(X24)
         => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X71))
           => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X76)) ) )
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76)) ),
    c_0_171 ).

fof(c_0_1051,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X76)) )
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    c_0_172 ).

fof(c_0_1052,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_Arr859726945e_indi(X24)
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X76)) ) )
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
    c_0_173 ).

fof(c_0_1053,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X71))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X76)) )
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
    c_0_174 ).

fof(c_0_1054,axiom,
    ! [X76,X71] :
      ( ! [X24] :
          ( is_bool(X24)
         => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X71))
           => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X76)) ) )
     => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76)) ),
    c_0_175 ).

fof(c_0_1055,axiom,
    ! [X26,X9] :
      ( hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( ! [X78] :
            ( hBOOL(hAPP_nat_bool(X9,X78))
           => hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78))) )
       => hBOOL(hAPP_nat_bool(X9,X26)) ) ),
    c_0_176 ).

fof(c_0_1056,axiom,
    ! [X4,X5,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
           => X4 = X5 ) ) ) ),
    c_0_177 ).

fof(c_0_1057,axiom,
    ! [X5,X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
         => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
          <=> X4 = X5 ) ) ) ),
    c_0_178 ).

fof(c_0_1058,axiom,
    ! [X4,X5,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( X4 != X5
       => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
           => hAPP_nat_nat(X74,X4) != hAPP_nat_nat(X74,X5) ) ) ) ),
    c_0_179 ).

fof(c_0_1059,axiom,
    ! [X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
    <=> ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => ! [X25] :
              ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X25),X71))
             => ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X25)
               => X24 = X25 ) ) ) ),
    c_0_180 ).

fof(c_0_1060,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X150),X71))
     => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X150,X76))) ),
    c_0_181 ).

fof(c_0_1061,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X150),X71))
     => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X150,X76))) ),
    c_0_182 ).

fof(c_0_1062,axiom,
    ! [X76,X150,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X150),X71))
     => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X150,X76))) ),
    c_0_183 ).

fof(c_0_1063,axiom,
    ! [X4,X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
    c_0_184 ).

fof(c_0_1064,axiom,
    ! [X4,X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
    c_0_185 ).

fof(c_0_1065,axiom,
    ! [X26,X200] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
    c_0_186 ).

fof(c_0_1066,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
    c_0_187 ).

fof(c_0_1067,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    c_0_188 ).

fof(c_0_1068,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
    c_0_189 ).

fof(c_0_1069,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    c_0_190 ).

fof(c_0_1070,axiom,
    ! [X205,X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    c_0_191 ).

fof(c_0_1071,axiom,
    ! [X202,X201,X205] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X205))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    c_0_192 ).

fof(c_0_1072,axiom,
    ! [X202,X201,X205] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X205))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    c_0_193 ).

fof(c_0_1073,axiom,
    ! [X205,X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
    c_0_194 ).

fof(c_0_1074,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
    c_0_195 ).

fof(c_0_1075,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
    c_0_196 ).

fof(c_0_1076,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
    c_0_197 ).

fof(c_0_1077,axiom,
    ! [X197,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
    c_0_198 ).

fof(c_0_1078,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199))) ),
    c_0_199 ).

fof(c_0_1079,plain,
    ! [X26,X9] :
      ( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
     => ( hBOOL(hAPP_nat_bool(X9,X26))
       => ? [X211] :
            ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X26))
            & ! [X14] :
                ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X211))
               => ~ hBOOL(hAPP_nat_bool(X9,X14)) )
            & hBOOL(hAPP_nat_bool(X9,X211)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_1080,plain,
    ~ ! [X28] :
        ( is_fun20916972t_bool(X28)
       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),X28))
         => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X28),arrow_912654623le_Lin)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_1081,plain,
    ~ ! [X27] :
        ( is_fun20916972t_bool(X27)
       => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),X27))
         => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X27),arrow_912654623le_Lin)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_1082,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    c_0_203 ).

fof(c_0_1083,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    c_0_204 ).

fof(c_0_1084,axiom,
    ! [X198,X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X208),X198))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X198)) ) ),
    c_0_205 ).

fof(c_0_1085,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    c_0_206 ).

fof(c_0_1086,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    c_0_207 ).

fof(c_0_1087,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    c_0_208 ).

fof(c_0_1088,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
    c_0_209 ).

fof(c_0_1089,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
    c_0_210 ).

fof(c_0_1090,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
    c_0_211 ).

fof(c_0_1091,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
    c_0_212 ).

fof(c_0_1092,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
    c_0_213 ).

fof(c_0_1093,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
    c_0_214 ).

fof(c_0_1094,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
    c_0_215 ).

fof(c_0_1095,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
    c_0_216 ).

fof(c_0_1096,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    c_0_217 ).

fof(c_0_1097,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    c_0_218 ).

fof(c_0_1098,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    c_0_219 ).

fof(c_0_1099,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    c_0_220 ).

fof(c_0_1100,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    c_0_221 ).

fof(c_0_1101,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    c_0_222 ).

fof(c_0_1102,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    c_0_223 ).

fof(c_0_1103,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    c_0_224 ).

fof(c_0_1104,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    c_0_225 ).

fof(c_0_1105,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    c_0_226 ).

fof(c_0_1106,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    c_0_227 ).

fof(c_0_1107,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    c_0_228 ).

fof(c_0_1108,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    c_0_229 ).

fof(c_0_1109,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    c_0_230 ).

fof(c_0_1110,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    c_0_231 ).

fof(c_0_1111,axiom,
    ! [X76,X4,X71] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    c_0_232 ).

fof(c_0_1112,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
    c_0_233 ).

fof(c_0_1113,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
    c_0_234 ).

fof(c_0_1114,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
    c_0_235 ).

fof(c_0_1115,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
    c_0_236 ).

fof(c_0_1116,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
    c_0_237 ).

fof(c_0_1117,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
    c_0_238 ).

fof(c_0_1118,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
    c_0_239 ).

fof(c_0_1119,axiom,
    ! [X4,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
    c_0_240 ).

fof(c_0_1120,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X195)) ) ),
    c_0_241 ).

fof(c_0_1121,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    c_0_242 ).

fof(c_0_1122,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    c_0_243 ).

fof(c_0_1123,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    c_0_244 ).

fof(c_0_1124,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X76),X195))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
    c_0_245 ).

fof(c_0_1125,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X76),X195))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
    c_0_246 ).

fof(c_0_1126,axiom,
    ! [X195,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
    c_0_247 ).

fof(c_0_1127,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
       => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
    c_0_248 ).

fof(c_0_1128,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
       => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
    c_0_249 ).

fof(c_0_1129,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
       => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
    c_0_250 ).

fof(c_0_1130,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
       => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
    c_0_251 ).

fof(c_0_1131,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
    c_0_252 ).

fof(c_0_1132,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
       => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
    c_0_253 ).

fof(c_0_1133,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
    c_0_254 ).

fof(c_0_1134,axiom,
    ! [X15,X71,X76] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
     => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
       => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
    c_0_255 ).

fof(c_0_1135,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
    c_0_256 ).

fof(c_0_1136,axiom,
    ! [X137,X138,X139] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X138),X139))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X138))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X139)) ) ),
    c_0_257 ).

fof(c_0_1137,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    c_0_258 ).

fof(c_0_1138,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    c_0_259 ).

fof(c_0_1139,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    c_0_260 ).

fof(c_0_1140,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
    c_0_261 ).

fof(c_0_1141,axiom,
    ! [X134,X135,X136] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X135),X136))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X136),X134))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X135),X134)) ) ),
    c_0_262 ).

fof(c_0_1142,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    c_0_263 ).

fof(c_0_1143,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    c_0_264 ).

fof(c_0_1144,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    c_0_265 ).

fof(c_0_1145,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
    c_0_266 ).

fof(c_0_1146,axiom,
    ! [X131,X132,X133] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X132),X133))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X131),X132))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X131),X133)) ) ),
    c_0_267 ).

fof(c_0_1147,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    c_0_268 ).

fof(c_0_1148,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    c_0_269 ).

fof(c_0_1149,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    c_0_270 ).

fof(c_0_1150,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
    c_0_271 ).

fof(c_0_1151,axiom,
    ! [X128,X129,X130] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X130))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X130),X128))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X128)) ) ),
    c_0_272 ).

fof(c_0_1152,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    c_0_273 ).

fof(c_0_1153,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    c_0_274 ).

fof(c_0_1154,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    c_0_275 ).

fof(c_0_1155,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X7)) ) ),
    c_0_276 ).

fof(c_0_1156,axiom,
    ! [X87,X88,X89] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X89))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X89),X87))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X87)) ) ),
    c_0_277 ).

fof(c_0_1157,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X7)) ) ),
    c_0_278 ).

fof(c_0_1158,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X4)) ) ),
    c_0_279 ).

fof(c_0_1159,axiom,
    ! [X82,X83,X84] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X83),X84))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X83))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X84)) ) ),
    c_0_280 ).

fof(c_0_1160,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X4)) ) ),
    c_0_281 ).

fof(c_0_1161,axiom,
    ! [X37,X38,X39] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X39))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X37))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X37)) ) ),
    c_0_282 ).

fof(c_0_1162,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
    c_0_283 ).

fof(c_0_1163,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
    c_0_284 ).

fof(c_0_1164,axiom,
    ! [X7,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
    c_0_285 ).

fof(c_0_1165,axiom,
    ! [X34,X35,X36] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X36))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X35))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X36)) ) ),
    c_0_286 ).

fof(c_0_1166,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
    c_0_287 ).

fof(c_0_1167,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
    c_0_288 ).

fof(c_0_1168,axiom,
    ! [X7,X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
    c_0_289 ).

fof(c_0_1169,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
      <=> X26 = X200 ) ),
    c_0_290 ).

fof(c_0_1170,axiom,
    ! [X197,X199,X198,X210] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
     => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X210) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X198),X199)
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
    c_0_291 ).

fof(c_0_1171,plain,
    ! [X200,X26] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200))) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_1172,axiom,
    ! [X26,X209] :
      ( ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X26)) )
     => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209)) ),
    c_0_293 ).

fof(c_0_1173,axiom,
    ! [X209] :
      ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
    <=> ? [X29] :
        ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X29)) ) ),
    c_0_294 ).

fof(c_0_1174,axiom,
    ! [X209] :
      ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
    <=> ? [X29] :
        ! [X24] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
         => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X29)) ) ),
    c_0_295 ).

fof(c_0_1175,axiom,
    ! [X206,X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X206)),X209)),
    c_0_296 ).

fof(c_0_1176,axiom,
    ! [X199,X222] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X222))
     => ? [X29] : X222 = hAPP_nat_nat(suc,X29) ),
    c_0_297 ).

fof(c_0_1177,axiom,
    ! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X206)))),
    c_0_298 ).

fof(c_0_1178,axiom,
    ! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X206)))),
    c_0_299 ).

fof(c_0_1179,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => ( hAPP_nat_nat(suc,X197) != X199
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199)) ) ),
    c_0_300 ).

fof(c_0_1180,axiom,
    ! [X197,X199,X198] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),X198) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X198)),
    c_0_301 ).

fof(c_0_1181,axiom,
    ! [X160,X161,X162] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),X161)),X162) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X161),X162)),
    c_0_302 ).

fof(c_0_1182,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199)) ),
    c_0_303 ).

fof(c_0_1183,plain,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199)))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
       => X197 = hAPP_nat_nat(suc,X199) ) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_1184,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
        | X200 = hAPP_nat_nat(suc,X26) ) ),
    c_0_305 ).

fof(c_0_1185,axiom,
    ! [X6] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
     => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X6)),arrow_583275979e_Prof)) ),
    c_0_306 ).

fof(c_0_1186,plain,
    ! [X74,X81] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X74),X81))
    <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X74),X81))
        & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X81),X74)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_1187,plain,
    ! [X74,X81] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X74),X81))
    <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X74),X81))
        & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X81),X74)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_1188,plain,
    ! [X74,X81] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X74),X81))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X81),X74)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_1189,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_1190,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_1191,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_1192,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
    <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
        & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_1193,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
        & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_1194,plain,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199)))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
       => X197 = X199 ) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_1195,plain,
    ! [X199,X197] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X197)))
       => X197 = X199 ) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_1196,plain,
    ! [X26,X200] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
      <=> X26 = X200 ) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_1197,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | X200 = X26 ) ),
    c_0_318 ).

fof(c_0_1198,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
    c_0_319 ).

fof(c_0_1199,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X199)),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_1200,axiom,
    ! [X23,X75] :
      ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75))
    <=> ! [X24] :
          ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
         => hAPP_f1817389232t_bool(X23,X24) = hAPP_A340536322t_bool(X24,X75) ) ),
    c_0_321 ).

fof(c_0_1201,axiom,
    ! [X207,X198] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198))
     => ( X198 != hAPP_nat_nat(suc,X207)
       => ~ ! [X213] :
              ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
             => X198 != hAPP_nat_nat(suc,X213) ) ) ),
    c_0_322 ).

fof(c_0_1202,axiom,
    ! [X4,X74,X71] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ) ),
    c_0_323 ).

fof(c_0_1203,axiom,
    ! [X5,X4,X74,X71] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
         => ( hAPP_A1895296483di_nat(X74,X4) = X5
           => hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),X5) = X4 ) ) ) ),
    c_0_324 ).

fof(c_0_1204,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => ? [X211] : X199 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X211)) ),
    c_0_325 ).

fof(c_0_1205,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> ? [X211] : X26 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211)) ),
    c_0_326 ).

fof(c_0_1206,axiom,
    ! [X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => hAPP_nat_nat(hilber195283148at_nat(X71,X74),hAPP_nat_nat(X74,X4)) = X4 ) ),
    c_0_327 ).

fof(c_0_1207,axiom,
    ! [X5,X4,X74,X71] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
       => ( hAPP_nat_nat(X74,X4) = X5
         => hAPP_nat_nat(hilber195283148at_nat(X71,X74),X5) = X4 ) ) ),
    c_0_328 ).

fof(c_0_1208,axiom,
    ! [X5,X4] :
      ( ( hBOOL(X4)
      <=> hBOOL(X5) )
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
    c_0_329 ).

fof(c_0_1209,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
      <=> ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    c_0_330 ).

fof(c_0_1210,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
       => ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    c_0_331 ).

fof(c_0_1211,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
       => ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    c_0_332 ).

fof(c_0_1212,axiom,
    ! [X81,X74] :
      ( is_fun1084921220e_indi(X81)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( ! [X24] : hAPP_A1895296483di_nat(X74,hAPP_n619554777e_indi(X81,X24)) = X24
         => hilber951314860di_nat(top_to207207712i_bool,X74) = X81 ) ) ),
    c_0_333 ).

fof(c_0_1213,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
       => hBOOL(X9) ) ),
    c_0_334 ).

fof(c_0_1214,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
       => hBOOL(X9) ) ),
    c_0_335 ).

fof(c_0_1215,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
       => hBOOL(X9) ) ),
    c_0_336 ).

fof(c_0_1216,axiom,
    ! [X9,X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
       => hBOOL(X9) ) ),
    c_0_337 ).

fof(c_0_1217,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
      <=> X4 = X5 ) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_1218,axiom,
    ! [X81,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( ! [X24] : hAPP_nat_nat(X74,hAPP_nat_nat(X81,X24)) = X24
       => hilber195283148at_nat(top_top_fun_nat_bool,X74) = X81 ) ),
    c_0_339 ).

fof(c_0_1219,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197))
       => X197 = X199 ) ),
    c_0_340 ).

fof(c_0_1220,axiom,
    ! [X71,X76] :
      ( X71 = X76
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
        & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
    c_0_341 ).

fof(c_0_1221,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71))
       => X71 = X76 ) ),
    c_0_342 ).

fof(c_0_1222,axiom,
    ! [X4,X5] :
      ( X4 = X5
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
    c_0_343 ).

fof(c_0_1223,axiom,
    ! [X4,X5] :
      ( X4 = X5
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
    c_0_344 ).

fof(c_0_1224,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
      <=> X4 = X5 ) ),
    c_0_345 ).

fof(c_0_1225,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
      <=> X4 = X5 ) ),
    c_0_346 ).

fof(c_0_1226,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
       => X4 = X5 ) ),
    c_0_347 ).

fof(c_0_1227,axiom,
    ! [X90,X91] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X90),X91))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X91),X90))
       => X90 = X91 ) ),
    c_0_348 ).

fof(c_0_1228,axiom,
    ! [X5,X4] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
       => X4 = X5 ) ),
    c_0_349 ).

fof(c_0_1229,axiom,
    ! [X85,X86] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X85),X86))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X86),X85))
       => X86 = X85 ) ),
    c_0_350 ).

fof(c_0_1230,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
    c_0_351 ).

fof(c_0_1231,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
    c_0_352 ).

fof(c_0_1232,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199))) ),
    c_0_353 ).

fof(c_0_1233,axiom,
    ! [X207,X208] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
     => ? [X211] :
          ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X211))
          & hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X211) = X208 ) ),
    c_0_354 ).

fof(c_0_1234,plain,
    ! [X118,X119] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X118),X119))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X119),X118)) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_1235,plain,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_1236,plain,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_1237,plain,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
        | X4 = X5 ) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_1238,plain,
    ! [X62,X63] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X63))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X62)) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_1239,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_1240,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_1241,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_1242,plain,
    ! [X60,X61] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X61))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X60)) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_1243,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_1244,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_1245,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_1246,plain,
    ! [X54,X55] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X55))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X54)) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_1247,plain,
    ! [X12,X13] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_1248,plain,
    ! [X12,X13] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_1249,plain,
    ! [X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_1250,plain,
    ! [X52,X53] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X52),X53))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X52)) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_1251,plain,
    ! [X13,X12] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_1252,plain,
    ! [X13,X12] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_1253,plain,
    ! [X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_1254,plain,
    ! [X32,X33] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
     => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_1255,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_1256,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_1257,plain,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_1258,axiom,
    ! [X71,X74,X76] :
      ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X76))
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
       => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ) ),
    c_0_379 ).

fof(c_0_1259,axiom,
    ! [X71,X74,X76] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X76))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
       => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ) ),
    c_0_380 ).

fof(c_0_1260,axiom,
    ! [X74,X71] :
      ( ! [X24,X149] :
          ( ( is_Arr859726945e_indi(X24)
            & is_Arr859726945e_indi(X149) )
         => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
           => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X149),X71))
             => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
               => X24 = X149 ) ) ) )
     => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ),
    c_0_381 ).

fof(c_0_1261,axiom,
    ! [X74,X71] :
      ( ! [X24,X149] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
         => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X149),X71))
           => ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
             => X24 = X149 ) ) )
     => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ),
    c_0_382 ).

fof(c_0_1262,axiom,
    ! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197))),
    c_0_383 ).

fof(c_0_1263,axiom,
    ! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199))),
    c_0_384 ).

fof(c_0_1264,axiom,
    ! [X201,X202,X205] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X205)),
    c_0_385 ).

fof(c_0_1265,axiom,
    ! [X140] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X140),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X140),one_one_nat))),
    c_0_386 ).

fof(c_0_1266,axiom,
    ! [X71,X76] :
      ( ( is_fun2015243113i_bool(X71)
        & is_fun2015243113i_bool(X76) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
          | X71 = X76 ) ) ),
    c_0_387 ).

fof(c_0_1267,axiom,
    ! [X71,X76] :
      ( ( is_fun1568535512t_bool(X71)
        & is_fun1568535512t_bool(X76) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
          | X71 = X76 ) ) ),
    c_0_388 ).

fof(c_0_1268,axiom,
    ! [X71,X76] :
      ( ( is_fun2015243113i_bool(X71)
        & is_fun2015243113i_bool(X76) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
          & X71 != X76 ) ) ),
    c_0_389 ).

fof(c_0_1269,axiom,
    ! [X71,X76] :
      ( ( is_fun1568535512t_bool(X71)
        & is_fun1568535512t_bool(X76) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
          & X71 != X76 ) ) ),
    c_0_390 ).

fof(c_0_1270,axiom,
    ! [X13,X12] :
      ( ( is_fun2015243113i_bool(X13)
        & is_fun2015243113i_bool(X12) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
       => ( X12 != X13
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
    c_0_391 ).

fof(c_0_1271,axiom,
    ! [X13,X12] :
      ( ( is_fun1568535512t_bool(X13)
        & is_fun1568535512t_bool(X12) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
       => ( X12 != X13
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
    c_0_392 ).

fof(c_0_1272,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
       => ( X12 != X13
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
    c_0_393 ).

fof(c_0_1273,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
       => ( X12 != X13
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
    c_0_394 ).

fof(c_0_1274,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
          | X4 = X5 ) ) ),
    c_0_395 ).

fof(c_0_1275,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
          | X4 = X5 ) ) ),
    c_0_396 ).

fof(c_0_1276,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
    c_0_397 ).

fof(c_0_1277,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
    c_0_398 ).

fof(c_0_1278,axiom,
    ! [X12,X13] :
      ( ( is_fun2015243113i_bool(X12)
        & is_fun2015243113i_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
         => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
    c_0_399 ).

fof(c_0_1279,axiom,
    ! [X12,X13] :
      ( ( is_fun1568535512t_bool(X12)
        & is_fun1568535512t_bool(X13) )
     => ( X12 != X13
       => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
         => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
    c_0_400 ).

fof(c_0_1280,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
          | X4 = X5 ) ) ),
    c_0_401 ).

fof(c_0_1281,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
          | X4 = X5 ) ) ),
    c_0_402 ).

fof(c_0_1282,axiom,
    ! [X4,X5] :
      ( ( is_fun2015243113i_bool(X4)
        & is_fun2015243113i_bool(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
      <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
          & X4 != X5 ) ) ),
    c_0_403 ).

fof(c_0_1283,axiom,
    ! [X4,X5] :
      ( ( is_fun1568535512t_bool(X4)
        & is_fun1568535512t_bool(X5) )
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
      <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
          & X4 != X5 ) ) ),
    c_0_404 ).

fof(c_0_1284,axiom,
    ! [X15,X13,X12] :
      ( ( hBOOL(X12)
      <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X15))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
    c_0_405 ).

fof(c_0_1285,axiom,
    ! [X15,X13,X12] :
      ( ( hBOOL(X12)
      <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X13))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
    c_0_406 ).

fof(c_0_1286,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
     => ( ( hBOOL(X13)
        <=> hBOOL(X15) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
    c_0_407 ).

fof(c_0_1287,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
     => ( ( hBOOL(X13)
        <=> hBOOL(X15) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
    c_0_408 ).

fof(c_0_1288,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
     => ( ~ ( hBOOL(X12)
          <=> hBOOL(X13) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
    c_0_409 ).

fof(c_0_1289,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
     => ( ~ ( hBOOL(X12)
          <=> hBOOL(X13) )
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
    c_0_410 ).

fof(c_0_1290,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
        | ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    c_0_411 ).

fof(c_0_1291,axiom,
    ! [X13,X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
    c_0_412 ).

fof(c_0_1292,axiom,
    ! [X13,X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(X13) )
     => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
       => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
    c_0_413 ).

fof(c_0_1293,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
        | ( hBOOL(X4)
        <=> hBOOL(X5) ) ) ),
    c_0_414 ).

fof(c_0_1294,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
    <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
        & ~ ( hBOOL(X4)
          <=> hBOOL(X5) ) ) ),
    c_0_415 ).

fof(c_0_1295,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X15))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X15)) ) ),
    c_0_416 ).

fof(c_0_1296,axiom,
    ! [X101,X102,X103] :
      ( X102 = X103
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X103),X101))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X102),X101)) ) ),
    c_0_417 ).

fof(c_0_1297,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X12)) ) ),
    c_0_418 ).

fof(c_0_1298,axiom,
    ! [X98,X99,X100] :
      ( X99 = X100
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X98),X100))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X98),X99)) ) ),
    c_0_419 ).

fof(c_0_1299,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X15)) ) ),
    c_0_420 ).

fof(c_0_1300,axiom,
    ! [X95,X96,X97] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X96),X97))
     => ( X97 = X95
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X96),X95)) ) ),
    c_0_421 ).

fof(c_0_1301,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X12)) ) ),
    c_0_422 ).

fof(c_0_1302,axiom,
    ! [X92,X93,X94] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X93),X94))
     => ( X93 = X92
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X92),X94)) ) ),
    c_0_423 ).

fof(c_0_1303,plain,
    ! [X5,X4] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
      <=> X4 = X5 ) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_1304,axiom,
    ! [X49,X50,X51] :
      ( X50 = X51
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X49))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ) ),
    c_0_425 ).

fof(c_0_1305,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X15))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X15)) ) ),
    c_0_426 ).

fof(c_0_1306,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X15))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X15)) ) ),
    c_0_427 ).

fof(c_0_1307,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X15))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X15)) ) ),
    c_0_428 ).

fof(c_0_1308,axiom,
    ! [X46,X47,X48] :
      ( X47 = X48
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X48))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X47)) ) ),
    c_0_429 ).

fof(c_0_1309,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X13))
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X12)) ) ),
    c_0_430 ).

fof(c_0_1310,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X13))
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X12)) ) ),
    c_0_431 ).

fof(c_0_1311,axiom,
    ! [X15,X12,X13] :
      ( X12 = X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X12)) ) ),
    c_0_432 ).

fof(c_0_1312,axiom,
    ! [X43,X44,X45] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X45))
     => ( X45 = X43
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X43)) ) ),
    c_0_433 ).

fof(c_0_1313,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X15)) ) ),
    c_0_434 ).

fof(c_0_1314,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X15)) ) ),
    c_0_435 ).

fof(c_0_1315,axiom,
    ! [X15,X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X15)) ) ),
    c_0_436 ).

fof(c_0_1316,axiom,
    ! [X40,X41,X42] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X42))
     => ( X41 = X40
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X40),X42)) ) ),
    c_0_437 ).

fof(c_0_1317,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X12)) ) ),
    c_0_438 ).

fof(c_0_1318,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X12)) ) ),
    c_0_439 ).

fof(c_0_1319,axiom,
    ! [X15,X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
     => ( X13 = X15
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X12)) ) ),
    c_0_440 ).

fof(c_0_1320,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
     => ( X197 != X199
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
    c_0_441 ).

fof(c_0_1321,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | X200 = X26 ) ),
    c_0_442 ).

fof(c_0_1322,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
        & X200 != X26 ) ),
    c_0_443 ).

fof(c_0_1323,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
        | X71 = X76 ) ),
    c_0_444 ).

fof(c_0_1324,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
        & X71 != X76 ) ),
    c_0_445 ).

fof(c_0_1325,axiom,
    ! [X126,X127] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X126),X127))
     => ( X127 != X126
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X126),X127)) ) ),
    c_0_446 ).

fof(c_0_1326,axiom,
    ! [X13,X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
     => ( X12 != X13
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
    c_0_447 ).

fof(c_0_1327,axiom,
    ! [X124,X125] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X124),X125))
     => ( X124 != X125
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X124),X125)) ) ),
    c_0_448 ).

fof(c_0_1328,axiom,
    ! [X12,X13] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
     => ( X12 != X13
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
    c_0_449 ).

fof(c_0_1329,axiom,
    ! [X122,X123] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X122),X123))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X122),X123))
        | X122 = X123 ) ),
    c_0_450 ).

fof(c_0_1330,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
        | X4 = X5 ) ),
    c_0_451 ).

fof(c_0_1331,axiom,
    ! [X116,X117] :
      ( X116 != X117
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X117),X116))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X117),X116)) ) ),
    c_0_452 ).

fof(c_0_1332,axiom,
    ! [X12,X13] :
      ( X12 != X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
    c_0_453 ).

fof(c_0_1333,axiom,
    ! [X114,X115] :
      ( X114 != X115
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X114),X115))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X114),X115)) ) ),
    c_0_454 ).

fof(c_0_1334,axiom,
    ! [X12,X13] :
      ( X12 != X13
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
       => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
    c_0_455 ).

fof(c_0_1335,plain,
    ! [X4,X5] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
     => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
      <=> X4 = X5 ) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_1336,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
        | X4 = X5 ) ),
    c_0_457 ).

fof(c_0_1337,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
        | X4 = X5 ) ),
    c_0_458 ).

fof(c_0_1338,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
        & X4 != X5 ) ),
    c_0_459 ).

fof(c_0_1339,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
    <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
        & X4 != X5 ) ),
    c_0_460 ).

fof(c_0_1340,axiom,
    ! [X196,X9,X4] :
      ( hBOOL(hAPP_nat_bool(X9,X4))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
       => hBOOL(hAPP_nat_bool(X196,X4)) ) ),
    c_0_461 ).

fof(c_0_1341,axiom,
    ! [X4,X9,X196] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
     => ( hBOOL(hAPP_nat_bool(X9,X4))
       => hBOOL(hAPP_nat_bool(X196,X4)) ) ),
    c_0_462 ).

fof(c_0_1342,axiom,
    ! [X201,X202] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) ),
    c_0_463 ).

fof(c_0_1343,axiom,
    ! [X197,X199] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
        | X197 = X199 )
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    c_0_464 ).

fof(c_0_1344,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    c_0_465 ).

fof(c_0_1345,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
    c_0_466 ).

fof(c_0_1346,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
    c_0_467 ).

fof(c_0_1347,axiom,
    ! [X71,X76] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    c_0_468 ).

fof(c_0_1348,axiom,
    ! [X120,X121] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X120),X121))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X120),X121)) ),
    c_0_469 ).

fof(c_0_1349,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
    c_0_470 ).

fof(c_0_1350,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
    c_0_471 ).

fof(c_0_1351,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5)) ),
    c_0_472 ).

fof(c_0_1352,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5)) ),
    c_0_473 ).

fof(c_0_1353,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    c_0_474 ).

fof(c_0_1354,axiom,
    ! [X200,X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
    <=> ? [X211] : X26 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211) ),
    c_0_475 ).

fof(c_0_1355,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,zero_zero_nat)))
    <=> X26 = zero_zero_nat ),
    c_0_476 ).

fof(c_0_1356,axiom,
    ! [X9,X206] :
      ( hBOOL(hAPP_nat_bool(X9,X206))
     => ( ! [X78] :
            ( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78)))
           => hBOOL(hAPP_nat_bool(X9,X78)) )
       => hBOOL(hAPP_nat_bool(X9,zero_zero_nat)) ) ),
    c_0_477 ).

fof(c_0_1357,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
    c_0_478 ).

fof(c_0_1358,plain,
    ! [X201,X202] :
      ( X201 != X202
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X201)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_1359,axiom,
    ! [X200,X26] :
      ( X200 != X26
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200)) ) ),
    c_0_480 ).

fof(c_0_1360,axiom,
    ! [X4,X5] :
      ( X4 != X5
    <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ) ),
    c_0_481 ).

fof(c_0_1361,axiom,
    ! [X68,X69] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X68),X69))
      | X68 = X69
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X69),X68)) ),
    c_0_482 ).

fof(c_0_1362,plain,
    ! [X66,X67] :
      ( X66 != X67
     => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X67))
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X67),X66)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_1363,plain,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
     => ( X30 != X31
       => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X31),X30)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_1364,axiom,
    ! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X26))) = hAPP_nat_nat(suc,X26),
    c_0_485 ).

fof(c_0_1365,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197)) ),
    c_0_486 ).

fof(c_0_1366,plain,
    ! [X112,X113] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X112),X113))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X113),X112)) ),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_1367,plain,
    ! [X110,X111] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X110),X111))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X111),X110)) ),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_1368,axiom,
    ! [X108,X109] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X108),X109))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X109),X108)) ),
    c_0_489 ).

fof(c_0_1369,axiom,
    ! [X106,X107] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X106),X107))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X107),X106)) ),
    c_0_490 ).

fof(c_0_1370,plain,
    ! [X79,X80] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X79),X80))
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),X79)) ),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_1371,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
    <=> hBOOL(hAPP_nat_bool(X71,X4)) ),
    c_0_492 ).

fof(c_0_1372,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
    <=> hBOOL(hAPP_f1733357041l_bool(X71,X4)) ),
    c_0_493 ).

fof(c_0_1373,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
    <=> hBOOL(hAPP_f446648900l_bool(X71,X4)) ),
    c_0_494 ).

fof(c_0_1374,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
    <=> hBOOL(hAPP_f1378099862l_bool(X71,X4)) ),
    c_0_495 ).

fof(c_0_1375,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
    <=> hBOOL(hAPP_P1813625415t_bool(X71,X4)) ),
    c_0_496 ).

fof(c_0_1376,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
    <=> hBOOL(hAPP_P1676879539t_bool(X71,X4)) ),
    c_0_497 ).

fof(c_0_1377,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
    <=> hBOOL(hAPP_bool_bool(X71,X4)) ),
    c_0_498 ).

fof(c_0_1378,axiom,
    ! [X4,X71] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
    <=> hBOOL(hAPP_A416869060i_bool(X71,X4)) ),
    c_0_499 ).

fof(c_0_1379,axiom,
    ! [X12,X13,X10,X11] :
      ( ( is_Arr723427730le_alt(X12)
        & is_Arr723427730le_alt(X13)
        & is_Arr723427730le_alt(X10)
        & is_Arr723427730le_alt(X11) )
     => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)
      <=> ( X12 = X10
          & X13 = X11 ) ) ),
    c_0_500 ).

fof(c_0_1380,axiom,
    ! [X19,X20,X21,X22] :
      ( ( is_Arr723427730le_alt(X19)
        & is_Arr723427730le_alt(X20)
        & is_Arr723427730le_alt(X21)
        & is_Arr723427730le_alt(X22) )
     => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X21),X22)
       => ~ ( X19 = X21
           => X20 != X22 ) ) ),
    c_0_501 ).

fof(c_0_1381,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
    c_0_502 ).

fof(c_0_1382,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)),
    c_0_503 ).

fof(c_0_1383,axiom,
    ! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X26))) = X26,
    c_0_504 ).

fof(c_0_1384,axiom,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    c_0_505 ).

fof(c_0_1385,axiom,
    ! [X4,X74] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ),
    c_0_506 ).

fof(c_0_1386,axiom,
    ! [X1,X2,X3] :
      ( ( is_fun20916972t_bool(X1)
        & is_Arr723427730le_alt(X2)
        & is_Arr723427730le_alt(X3) )
     => is_bool(in_rel1361124802le_alt(X1,X2,X3)) ),
    c_0_507 ).

fof(c_0_1387,axiom,
    ! [X1,X2,X3] :
      ( ( is_fun20916972t_bool(X1)
        & is_Arr723427730le_alt(X2)
        & is_Arr723427730le_alt(X3) )
     => is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3)) ),
    c_0_508 ).

fof(c_0_1388,axiom,
    ! [X4,X5,X74] :
      ( is_Arr859726945e_indi(X4)
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = X5
         => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),X5) = X4 ) ) ),
    c_0_509 ).

fof(c_0_1389,axiom,
    ! [X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199))
     => ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
    c_0_510 ).

fof(c_0_1390,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26))
    <=> ? [X29] : X26 = hAPP_nat_nat(suc,X29) ),
    c_0_511 ).

fof(c_0_1391,axiom,
    ! [X12] :
      ( ~ ( hBOOL(X12)
        <=> hBOOL(top_top_bool) )
    <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),top_top_bool)) ),
    c_0_512 ).

fof(c_0_1392,axiom,
    ! [X4,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),hAPP_nat_nat(X74,X4)) = X4 ),
    c_0_513 ).

fof(c_0_1393,axiom,
    ! [X226,X227,X228] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X226),X227),X228) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X226,X228),X227),
    c_0_514 ).

fof(c_0_1394,axiom,
    ! [X226,X227,X228] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X226),X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),X227),
    c_0_515 ).

fof(c_0_1395,axiom,
    ! [X226,X227,X228] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X226),X227),X228) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X226,X228),X227),
    c_0_516 ).

fof(c_0_1396,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X226),X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),X227),
    c_0_517 ).

fof(c_0_1397,axiom,
    ! [X226,X227,X228] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X226),X227),X228) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X226,X228),X227),
    c_0_518 ).

fof(c_0_1398,axiom,
    ! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X226),X227),X228) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X226,X228),X227),
    c_0_519 ).

fof(c_0_1399,axiom,
    ! [X226,X227,X228] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X226,X228),X227),
    c_0_520 ).

fof(c_0_1400,axiom,
    ! [X226,X227,X228] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X226),X227),X228) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X226,X228),X227),
    c_0_521 ).

fof(c_0_1401,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X226),X227),X228) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X226,X228),X227),
    c_0_522 ).

fof(c_0_1402,axiom,
    ! [X226,X227,X228] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X226,X228),X227),
    c_0_523 ).

fof(c_0_1403,axiom,
    ! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X226),X227),X228) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X226,X228),X227),
    c_0_524 ).

fof(c_0_1404,axiom,
    ! [X226,X227,X228] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X226),X227),X228) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X226,X228),X227),
    c_0_525 ).

fof(c_0_1405,axiom,
    ! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_A1948275303t_bool(X226,X228),X227),
    c_0_526 ).

fof(c_0_1406,axiom,
    ! [X226,X227,X228] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X226),X227),X228) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X226,X228),X227),
    c_0_527 ).

fof(c_0_1407,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X226),X227),X228) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X226,X228),X227),
    c_0_528 ).

fof(c_0_1408,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_n1699378549t_bool(X226,X228),X227),
    c_0_529 ).

fof(c_0_1409,axiom,
    ! [X226,X227,X228] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X226),X227),X228) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X226,X228),X227),
    c_0_530 ).

fof(c_0_1410,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( X12 != top_to1257323279t_bool
      <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),top_to1257323279t_bool)) ) ),
    c_0_531 ).

fof(c_0_1411,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( X12 != top_to207207712i_bool
      <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),top_to207207712i_bool)) ) ),
    c_0_532 ).

fof(c_0_1412,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( X12 != top_to1773227171t_bool
      <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X12),top_to1773227171t_bool)) ) ),
    c_0_533 ).

fof(c_0_1413,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( X12 != top_to1849101472l_bool
      <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X12),top_to1849101472l_bool)) ) ),
    c_0_534 ).

fof(c_0_1414,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( X12 != top_to935749874l_bool
      <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X12),top_to935749874l_bool)) ) ),
    c_0_535 ).

fof(c_0_1415,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( X12 != top_to846262053l_bool
      <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X12),top_to846262053l_bool)) ) ),
    c_0_536 ).

fof(c_0_1416,plain,
    ! [X226,X227] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
      | hBOOL(X227) ),
    inference(fof_simplification,[status(thm)],[c_0_537]) ).

fof(c_0_1417,plain,
    ! [X226,X227] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
      | hBOOL(X226) ),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_1418,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = X5
       => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),X5) = X4 ) ),
    c_0_539 ).

fof(c_0_1419,axiom,
    ! [X203,X204] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
     => X203 != X204 ),
    c_0_540 ).

fof(c_0_1420,axiom,
    ! [X199,X197] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
     => X197 != X199 ),
    c_0_541 ).

fof(c_0_1421,axiom,
    ! [X64,X65] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X65))
     => X64 != X65 ),
    c_0_542 ).

fof(c_0_1422,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X4 != X5 ),
    c_0_543 ).

fof(c_0_1423,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X4 != X5 ),
    c_0_544 ).

fof(c_0_1424,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X4 != X5 ),
    c_0_545 ).

fof(c_0_1425,axiom,
    ! [X58,X59] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X59))
     => X58 != X59 ),
    c_0_546 ).

fof(c_0_1426,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X4 != X5 ),
    c_0_547 ).

fof(c_0_1427,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X4 != X5 ),
    c_0_548 ).

fof(c_0_1428,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X4 != X5 ),
    c_0_549 ).

fof(c_0_1429,axiom,
    ! [X56,X57] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X57))
     => X57 != X56 ),
    c_0_550 ).

fof(c_0_1430,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
     => X5 != X4 ),
    c_0_551 ).

fof(c_0_1431,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
     => X5 != X4 ),
    c_0_552 ).

fof(c_0_1432,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
     => X5 != X4 ),
    c_0_553 ).

fof(c_0_1433,axiom,
    ! [X4,X5,X74] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
         => X4 = X5 ) ) ),
    c_0_554 ).

fof(c_0_1434,axiom,
    ! [X4,X5,X74] :
      ( ( is_Arr859726945e_indi(X4)
        & is_Arr859726945e_indi(X5) )
     => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
       => ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
        <=> X4 = X5 ) ) ),
    c_0_555 ).

fof(c_0_1435,axiom,
    ! [X197,X199] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
     => X199 != zero_zero_nat ),
    c_0_556 ).

fof(c_0_1436,plain,
    ! [X201,X202] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202))
      | X201 = X202 ),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_1437,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X199))),
    c_0_558 ).

fof(c_0_1438,axiom,
    ! [X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
     => ( hBOOL(X12)
      <=> hBOOL(top_top_bool) ) ),
    c_0_559 ).

fof(c_0_1439,axiom,
    ! [X12] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
    <=> ( hBOOL(X12)
      <=> hBOOL(top_top_bool) ) ),
    c_0_560 ).

fof(c_0_1440,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_1441,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_1442,plain,
    ! [X70] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X70),X70)),
    inference(fof_simplification,[status(thm)],[c_0_563]) ).

fof(c_0_1443,plain,
    ! [X4] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X4)),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_1444,plain,
    ! [X4] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X4)),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_1445,plain,
    ! [X4] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X4)),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_1446,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
       => X12 = top_to207207712i_bool ) ),
    c_0_567 ).

fof(c_0_1447,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
       => X12 = top_to1257323279t_bool ) ),
    c_0_568 ).

fof(c_0_1448,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
       => X12 = top_to1773227171t_bool ) ),
    c_0_569 ).

fof(c_0_1449,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
       => X12 = top_to935749874l_bool ) ),
    c_0_570 ).

fof(c_0_1450,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
       => X12 = top_to1849101472l_bool ) ),
    c_0_571 ).

fof(c_0_1451,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
       => X12 = top_to846262053l_bool ) ),
    c_0_572 ).

fof(c_0_1452,axiom,
    ! [X12] :
      ( is_fun2015243113i_bool(X12)
     => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
      <=> X12 = top_to207207712i_bool ) ),
    c_0_573 ).

fof(c_0_1453,axiom,
    ! [X12] :
      ( is_fun1568535512t_bool(X12)
     => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
      <=> X12 = top_to1257323279t_bool ) ),
    c_0_574 ).

fof(c_0_1454,axiom,
    ! [X12] :
      ( is_fun20916972t_bool(X12)
     => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
      <=> X12 = top_to1773227171t_bool ) ),
    c_0_575 ).

fof(c_0_1455,axiom,
    ! [X12] :
      ( is_fun701126715l_bool(X12)
     => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
      <=> X12 = top_to935749874l_bool ) ),
    c_0_576 ).

fof(c_0_1456,axiom,
    ! [X12] :
      ( is_fun292781289l_bool(X12)
     => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
      <=> X12 = top_to1849101472l_bool ) ),
    c_0_577 ).

fof(c_0_1457,axiom,
    ! [X12] :
      ( is_fun1420103068l_bool(X12)
     => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
      <=> X12 = top_to846262053l_bool ) ),
    c_0_578 ).

fof(c_0_1458,axiom,
    ! [X200,X206,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X26),X206)
    <=> X200 = X26 ),
    c_0_579 ).

fof(c_0_1459,axiom,
    ! [X206,X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)
    <=> X200 = X26 ),
    c_0_580 ).

fof(c_0_1460,axiom,
    ! [X12,X13,X15] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)
    <=> X13 = X15 ),
    c_0_581 ).

fof(c_0_1461,axiom,
    ! [X13,X12,X15] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)
    <=> X13 = X15 ),
    c_0_582 ).

fof(c_0_1462,axiom,
    ! [X157,X158,X159] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X158) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X159)
     => X158 = X159 ),
    c_0_583 ).

fof(c_0_1463,axiom,
    ! [X154,X155,X156] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X155) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X156)
     => X155 = X156 ),
    c_0_584 ).

fof(c_0_1464,axiom,
    ! [X151,X152,X153] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X151),X152) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X153),X152)
     => X151 = X153 ),
    c_0_585 ).

fof(c_0_1465,axiom,
    ! [X12] :
      ( X12 != top_top_fun_nat_bool
    <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),top_top_fun_nat_bool)) ),
    c_0_586 ).

fof(c_0_1466,axiom,
    ! [X26] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),zero_zero_nat))
    <=> X26 = zero_zero_nat ),
    c_0_587 ).

fof(c_0_1467,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X199))),
    c_0_588 ).

fof(c_0_1468,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_1469,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_1470,plain,
    ! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
    inference(fof_simplification,[status(thm)],[c_0_591]) ).

fof(c_0_1471,axiom,
    ! [X26] :
      ( X26 != zero_zero_nat
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ),
    c_0_592 ).

fof(c_0_1472,axiom,
    ! [X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
     => X12 = top_top_fun_nat_bool ),
    c_0_593 ).

fof(c_0_1473,axiom,
    ! [X12] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
    <=> X12 = top_top_fun_nat_bool ),
    c_0_594 ).

fof(c_0_1474,plain,
    ! [X12] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_1475,plain,
    ! [X12] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_1476,plain,
    ! [X12] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_597]) ).

fof(c_0_1477,plain,
    ! [X12] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_1478,plain,
    ! [X12] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_599]) ).

fof(c_0_1479,plain,
    ! [X12] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_1480,plain,
    ! [X12] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_1481,plain,
    ! [X12] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X12)),
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_1482,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
       => X4 = X5 ) ),
    c_0_603 ).

fof(c_0_1483,axiom,
    ! [X4,X5,X74] :
      ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
     => ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
      <=> X4 = X5 ) ),
    c_0_604 ).

fof(c_0_1484,axiom,
    ! [X226,X227,X228] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X226,X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
    c_0_605 ).

fof(c_0_1485,axiom,
    ! [X226,X227,X228] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(X226,X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
    c_0_606 ).

fof(c_0_1486,axiom,
    ! [X226,X227,X228] : hAPP_nat_bool(cOMBS_nat_bool_bool(X226,X227),X228) = hAPP_bool_bool(hAPP_n1006566506l_bool(X226,X228),hAPP_nat_bool(X227,X228)),
    c_0_607 ).

fof(c_0_1487,axiom,
    ! [X224,X216] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X224),X216))),
    c_0_608 ).

fof(c_0_1488,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = hAPP_nat_nat(suc,zero_zero_nat)
    <=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
          & X26 = zero_zero_nat )
        | ( X200 = zero_zero_nat
          & X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
    c_0_609 ).

fof(c_0_1489,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)
    <=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
          & X26 = zero_zero_nat )
        | ( X200 = zero_zero_nat
          & X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
    c_0_610 ).

fof(c_0_1490,axiom,
    ! [X226,X227,X228] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X226),X227),X228) = hAPP_b910261233t_bool(X226,hAPP_A416869060i_bool(X227,X228)),
    c_0_611 ).

fof(c_0_1491,axiom,
    ! [X226,X227,X228] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X226),X227),X228) = hAPP_f372913425t_bool(X226,hAPP_A643475905l_bool(X227,X228)),
    c_0_612 ).

fof(c_0_1492,axiom,
    ! [X226,X227,X228] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X226),X227),X228) = hAPP_f684072049t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
    c_0_613 ).

fof(c_0_1493,axiom,
    ! [X226,X227,X228] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X226),X227),X228) = hAPP_f1656652505l_bool(X226,hAPP_A1171966089le_alt(X227,X228)),
    c_0_614 ).

fof(c_0_1494,axiom,
    ! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X226),X227),X228) = hAPP_f102394819t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
    c_0_615 ).

fof(c_0_1495,axiom,
    ! [X226,X227,X228] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X226),X227),X228) = hAPP_P1151433609l_bool(X226,hAPP_A1561816353le_alt(X227,X228)),
    c_0_616 ).

fof(c_0_1496,axiom,
    ! [X226,X227,X228] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_A1895296483di_nat(X227,X228)),
    c_0_617 ).

fof(c_0_1497,axiom,
    ! [X226,X227,X228] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X226),X227),X228) = hAPP_n215258509l_bool(X226,hAPP_nat_nat(X227,X228)),
    c_0_618 ).

fof(c_0_1498,axiom,
    ! [X226,X227,X228] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X226),X227),X228) = hAPP_b589554111l_bool(X226,hAPP_nat_bool(X227,X228)),
    c_0_619 ).

fof(c_0_1499,axiom,
    ! [X226,X227,X228] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_nat_nat(X227,X228)),
    c_0_620 ).

fof(c_0_1500,plain,
    ! [X227,X226] :
      ( ~ hBOOL(X226)
      | ~ hBOOL(X227)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227)) ),
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_1501,axiom,
    ! [X5,X4] :
      ( ( hBOOL(X4)
      <=> hBOOL(X5) )
     => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
    c_0_622 ).

fof(c_0_1502,axiom,
    ! [X201,X202] :
      ( is_fun20916972t_bool(X202)
     => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X201),X202) = X202 ),
    c_0_623 ).

fof(c_0_1503,axiom,
    ! [X201,X202] :
      ( is_fun20916972t_bool(X201)
     => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X201),X202) = X201 ),
    c_0_624 ).

fof(c_0_1504,axiom,
    ! [X74] :
      ( ! [X24,X149] :
          ( ( is_Arr859726945e_indi(X24)
            & is_Arr859726945e_indi(X149) )
         => ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
           => X24 = X149 ) )
     => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool)) ),
    c_0_625 ).

fof(c_0_1505,axiom,
    ! [X74] :
      ( ! [X24,X149] :
          ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
         => X24 = X149 )
     => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool)) ),
    c_0_626 ).

fof(c_0_1506,axiom,
    ! [X201,X202] :
      ( X201 != X202
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202)) ),
    c_0_627 ).

fof(c_0_1507,axiom,
    ! [X197,X199] :
      ( X197 = X199
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
    c_0_628 ).

fof(c_0_1508,axiom,
    ! [X71,X76] :
      ( X71 = X76
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
    c_0_629 ).

fof(c_0_1509,axiom,
    ! [X71,X76] :
      ( X71 = X76
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ),
    c_0_630 ).

fof(c_0_1510,plain,
    ! [X71,X76] :
      ( X71 = X76
     => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
         => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_1511,axiom,
    ! [X4,X5] :
      ( X4 = X5
     => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
    c_0_632 ).

fof(c_0_1512,axiom,
    ! [X104,X105] :
      ( X104 = X105
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X104),X105)) ),
    c_0_633 ).

fof(c_0_1513,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X199)),
    c_0_634 ).

fof(c_0_1514,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X71)),
    c_0_635 ).

fof(c_0_1515,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X4)),
    c_0_636 ).

fof(c_0_1516,axiom,
    ! [X77] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X77),X77)),
    c_0_637 ).

fof(c_0_1517,axiom,
    ! [X4] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X4)),
    c_0_638 ).

fof(c_0_1518,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    c_0_639 ).

fof(c_0_1519,axiom,
    ! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197),
    c_0_640 ).

fof(c_0_1520,axiom,
    ! [X71] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),top_to207207712i_bool)),
    c_0_641 ).

fof(c_0_1521,axiom,
    ! [X71] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),top_to1257323279t_bool)),
    c_0_642 ).

fof(c_0_1522,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),top_top_fun_nat_bool)),
    c_0_643 ).

fof(c_0_1523,axiom,
    ! [X71] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),top_to1773227171t_bool)),
    c_0_644 ).

fof(c_0_1524,axiom,
    ! [X71] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),top_to935749874l_bool)),
    c_0_645 ).

fof(c_0_1525,axiom,
    ! [X71] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),top_to1849101472l_bool)),
    c_0_646 ).

fof(c_0_1526,axiom,
    ! [X71] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),top_to846262053l_bool)),
    c_0_647 ).

fof(c_0_1527,axiom,
    ! [X12] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),top_to207207712i_bool)),
    c_0_648 ).

fof(c_0_1528,axiom,
    ! [X12] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),top_to1257323279t_bool)),
    c_0_649 ).

fof(c_0_1529,axiom,
    ! [X12] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),top_top_fun_nat_bool)),
    c_0_650 ).

fof(c_0_1530,axiom,
    ! [X12] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X12),top_to1773227171t_bool)),
    c_0_651 ).

fof(c_0_1531,axiom,
    ! [X12] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X12),top_to935749874l_bool)),
    c_0_652 ).

fof(c_0_1532,axiom,
    ! [X12] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X12),top_to1849101472l_bool)),
    c_0_653 ).

fof(c_0_1533,axiom,
    ! [X12] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X12),top_to846262053l_bool)),
    c_0_654 ).

fof(c_0_1534,axiom,
    ! [X12] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),top_top_bool)),
    c_0_655 ).

fof(c_0_1535,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
    c_0_656 ).

fof(c_0_1536,axiom,
    ! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
    c_0_657 ).

fof(c_0_1537,axiom,
    ! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
    c_0_658 ).

fof(c_0_1538,axiom,
    ! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
    c_0_659 ).

fof(c_0_1539,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
    c_0_660 ).

fof(c_0_1540,axiom,
    ! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
    c_0_661 ).

fof(c_0_1541,axiom,
    ! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
    c_0_662 ).

fof(c_0_1542,axiom,
    ! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
    c_0_663 ).

fof(c_0_1543,axiom,
    ! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
    c_0_664 ).

fof(c_0_1544,axiom,
    ! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
    c_0_665 ).

fof(c_0_1545,axiom,
    ! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
    c_0_666 ).

fof(c_0_1546,axiom,
    ! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
    c_0_667 ).

fof(c_0_1547,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
    c_0_668 ).

fof(c_0_1548,axiom,
    ! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
    c_0_669 ).

fof(c_0_1549,axiom,
    ! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
    c_0_670 ).

fof(c_0_1550,axiom,
    ! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
    c_0_671 ).

fof(c_0_1551,axiom,
    ! [X199] :
      ( X199 != zero_zero_nat
     => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199)) ),
    c_0_672 ).

fof(c_0_1552,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
    c_0_673 ).

fof(c_0_1553,axiom,
    ! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
    c_0_674 ).

fof(c_0_1554,axiom,
    ? [X214] :
      ( is_fun20916972t_bool(X214)
      & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X214),arrow_912654623le_Lin)) ),
    c_0_675 ).

fof(c_0_1555,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    c_0_676 ).

fof(c_0_1556,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    c_0_677 ).

fof(c_0_1557,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    c_0_678 ).

fof(c_0_1558,axiom,
    ! [X197,X199] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = X197
     => X199 = zero_zero_nat ),
    c_0_679 ).

fof(c_0_1559,axiom,
    ! [X200,X26] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = zero_zero_nat
    <=> ( X200 = zero_zero_nat
        & X26 = zero_zero_nat ) ),
    c_0_680 ).

fof(c_0_1560,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),one_one_nat),
    c_0_681 ).

fof(c_0_1561,axiom,
    ! [X24] : hAPP_n1699378549t_bool(ord_less_nat,X24) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X24)),
    c_0_682 ).

fof(c_0_1562,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X199),
    c_0_683 ).

fof(c_0_1563,axiom,
    ! [X4] :
      ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_684 ).

fof(c_0_1564,axiom,
    ! [X4] :
      ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_685 ).

fof(c_0_1565,axiom,
    ! [X4] :
      ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_686 ).

fof(c_0_1566,axiom,
    ! [X4] :
      ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_687 ).

fof(c_0_1567,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_688 ).

fof(c_0_1568,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_689 ).

fof(c_0_1569,axiom,
    ! [X4] :
      ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4))
    <=> hBOOL(top_top_bool) ),
    c_0_690 ).

fof(c_0_1570,axiom,
    ! [X226,X227] :
      ( is_fun1420103068l_bool(X226)
     => hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X226),X227) = X226 ),
    c_0_691 ).

fof(c_0_1571,axiom,
    ! [X226,X227] :
      ( is_fun701126715l_bool(X226)
     => hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X226),X227) = X226 ),
    c_0_692 ).

fof(c_0_1572,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X226),X227) = X226 ),
    c_0_693 ).

fof(c_0_1573,axiom,
    ! [X226,X227] :
      ( is_fun1420103068l_bool(X226)
     => hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X226),X227) = X226 ),
    c_0_694 ).

fof(c_0_1574,axiom,
    ! [X226,X227] :
      ( is_fun2015243113i_bool(X226)
     => hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X226),X227) = X226 ),
    c_0_695 ).

fof(c_0_1575,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X226),X227) = X226 ),
    c_0_696 ).

fof(c_0_1576,axiom,
    ! [X226,X227] :
      ( is_fun20916972t_bool(X226)
     => hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X226),X227) = X226 ),
    c_0_697 ).

fof(c_0_1577,axiom,
    ! [X226,X227] :
      ( is_fun20916972t_bool(X226)
     => hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X226),X227) = X226 ),
    c_0_698 ).

fof(c_0_1578,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X226),X227) = X226 ),
    c_0_699 ).

fof(c_0_1579,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X226),X227) = X226 ),
    c_0_700 ).

fof(c_0_1580,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X226),X227) = X226 ),
    c_0_701 ).

fof(c_0_1581,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X226),X227) = X226 ),
    c_0_702 ).

fof(c_0_1582,axiom,
    ! [X226,X227] :
      ( is_bool(X226)
     => hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X226),X227) = X226 ),
    c_0_703 ).

fof(c_0_1583,axiom,
    ! [X1,X2] :
      ( ( is_fun2015243113i_bool(X1)
        & is_Arr859726945e_indi(X2) )
     => is_bool(hAPP_A416869060i_bool(X1,X2)) ),
    c_0_704 ).

fof(c_0_1584,axiom,
    ! [X217,X218] :
      ( hAPP_nat_nat(suc,X217) = hAPP_nat_nat(suc,X218)
    <=> X217 = X218 ),
    c_0_705 ).

fof(c_0_1585,axiom,
    ! [X201,X202] :
      ( hAPP_nat_nat(suc,X201) = hAPP_nat_nat(suc,X202)
     => X201 = X202 ),
    c_0_706 ).

fof(c_0_1586,plain,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    inference(fof_simplification,[status(thm)],[c_0_707]) ).

fof(c_0_1587,axiom,
    ! [X226,X227] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X226),X227) = X226,
    c_0_708 ).

fof(c_0_1588,axiom,
    ! [X226,X227] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X226),X227) = X226,
    c_0_709 ).

fof(c_0_1589,axiom,
    ! [X226,X227] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X226),X227) = X226,
    c_0_710 ).

fof(c_0_1590,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X1)
     => is_bool(hAPP_P1813625415t_bool(X1,X2)) ),
    c_0_711 ).

fof(c_0_1591,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2)) ),
    c_0_712 ).

fof(c_0_1592,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2)) ),
    c_0_713 ).

fof(c_0_1593,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2)) ),
    c_0_714 ).

fof(c_0_1594,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2)) ),
    c_0_715 ).

fof(c_0_1595,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2)) ),
    c_0_716 ).

fof(c_0_1596,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X2)
     => is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2)) ),
    c_0_717 ).

fof(c_0_1597,axiom,
    ! [X1,X2] :
      ( is_fun1420103068l_bool(X2)
     => is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2)) ),
    c_0_718 ).

fof(c_0_1598,axiom,
    ! [X1,X2] :
      ( is_fun1420103068l_bool(X2)
     => is_bool(hAPP_f560517119l_bool(X1,X2)) ),
    c_0_719 ).

fof(c_0_1599,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X2)
     => is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2)) ),
    c_0_720 ).

fof(c_0_1600,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X2)
     => is_bool(hAPP_f322109294l_bool(X1,X2)) ),
    c_0_721 ).

fof(c_0_1601,axiom,
    ! [X1,X2] :
      ( is_fun292781289l_bool(X1)
     => is_bool(hAPP_f446648900l_bool(X1,X2)) ),
    c_0_722 ).

fof(c_0_1602,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X2)
     => is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2)) ),
    c_0_723 ).

fof(c_0_1603,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X2)
     => is_bool(hAPP_f147218624l_bool(X1,X2)) ),
    c_0_724 ).

fof(c_0_1604,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X2)
     => is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2)) ),
    c_0_725 ).

fof(c_0_1605,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X2)
     => is_bool(hAPP_f2028818269l_bool(X1,X2)) ),
    c_0_726 ).

fof(c_0_1606,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X1)
     => is_bool(hAPP_f1378099862l_bool(X1,X2)) ),
    c_0_727 ).

fof(c_0_1607,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X2)
     => is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2)) ),
    c_0_728 ).

fof(c_0_1608,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X2)
     => is_bool(hAPP_f160177134l_bool(X1,X2)) ),
    c_0_729 ).

fof(c_0_1609,axiom,
    ! [X1,X2] :
      ( is_fun1568535512t_bool(X1)
     => is_bool(hAPP_P1676879539t_bool(X1,X2)) ),
    c_0_730 ).

fof(c_0_1610,axiom,
    ! [X1,X2] :
      ( is_fun1084921220e_indi(X1)
     => is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2)) ),
    c_0_731 ).

fof(c_0_1611,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2)) ),
    c_0_732 ).

fof(c_0_1612,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2)) ),
    c_0_733 ).

fof(c_0_1613,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2)) ),
    c_0_734 ).

fof(c_0_1614,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2)) ),
    c_0_735 ).

fof(c_0_1615,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2)) ),
    c_0_736 ).

fof(c_0_1616,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2)) ),
    c_0_737 ).

fof(c_0_1617,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_bool(hAPP_bool_bool(X1,X2)) ),
    c_0_738 ).

fof(c_0_1618,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2)) ),
    c_0_739 ).

fof(c_0_1619,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2)) ),
    c_0_740 ).

fof(c_0_1620,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2)) ),
    c_0_741 ).

fof(c_0_1621,axiom,
    ! [X1,X2] :
      ( is_Arr859726945e_indi(X2)
     => is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2)) ),
    c_0_742 ).

fof(c_0_1622,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2)) ),
    c_0_743 ).

fof(c_0_1623,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2)) ),
    c_0_744 ).

fof(c_0_1624,axiom,
    ! [X1,X2] :
      ( is_Arr723427730le_alt(X2)
     => is_bool(hAPP_A1120018583t_bool(X1,X2)) ),
    c_0_745 ).

fof(c_0_1625,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X1)
     => is_fun1084921220e_indi(hilber951314860di_nat(X1,X2)) ),
    c_0_746 ).

fof(c_0_1626,axiom,
    ! [X1,X2] :
      ( is_fun20916972t_bool(X1)
     => is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2)) ),
    c_0_747 ).

fof(c_0_1627,axiom,
    ! [X1,X2] :
      ( is_fun701126715l_bool(X1)
     => is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2)) ),
    c_0_748 ).

fof(c_0_1628,axiom,
    ! [X1,X2] :
      ( is_fun2015243113i_bool(X1)
     => is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2)) ),
    c_0_749 ).

fof(c_0_1629,axiom,
    ! [X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X209)),
    c_0_750 ).

fof(c_0_1630,axiom,
    ! [X197] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),zero_zero_nat) = X197,
    c_0_751 ).

fof(c_0_1631,axiom,
    ! [X71] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X71)),
    c_0_752 ).

fof(c_0_1632,axiom,
    ! [X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X199) = X199,
    c_0_753 ).

fof(c_0_1633,axiom,
    ! [X71] : pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    c_0_754 ).

fof(c_0_1634,axiom,
    ! [X71] : pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    c_0_755 ).

fof(c_0_1635,axiom,
    ! [X71] : pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    c_0_756 ).

fof(c_0_1636,axiom,
    ~ ! [X225] :
        ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X225),top_to207207712i_bool))
       => image_837079859di_nat(X225,top_to207207712i_bool) != hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ),
    c_0_757 ).

fof(c_0_1637,axiom,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    c_0_758 ).

fof(c_0_1638,axiom,
    arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
    c_0_759 ).

fof(c_0_1639,axiom,
    image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
    c_0_760 ).

fof(c_0_1640,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
    c_0_761 ).

fof(c_0_1641,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
    c_0_762 ).

fof(c_0_1642,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
    c_0_763 ).

fof(c_0_1643,axiom,
    ! [X1,X2] : is_bool(hAPP_f557371893l_bool(X1,X2)),
    c_0_764 ).

fof(c_0_1644,axiom,
    ! [X1,X2] : is_bool(hAPP_f817344902l_bool(X1,X2)),
    c_0_765 ).

fof(c_0_1645,axiom,
    ! [X1,X2] : is_bool(hAPP_f1363425282l_bool(X1,X2)),
    c_0_766 ).

fof(c_0_1646,axiom,
    ! [X1,X2] : is_bool(hAPP_f1384787615l_bool(X1,X2)),
    c_0_767 ).

fof(c_0_1647,axiom,
    ! [X1,X2] : is_bool(hAPP_f560261801l_bool(X1,X2)),
    c_0_768 ).

fof(c_0_1648,axiom,
    ! [X1,X2] : is_bool(hAPP_f1021828400l_bool(X1,X2)),
    c_0_769 ).

fof(c_0_1649,axiom,
    ! [X1,X2] : is_bool(hAPP_f966397426l_bool(X1,X2)),
    c_0_770 ).

fof(c_0_1650,axiom,
    ! [X1,X2] : is_bool(hAPP_f750478076l_bool(X1,X2)),
    c_0_771 ).

fof(c_0_1651,axiom,
    ! [X1,X2] : is_bool(hAPP_f742658307l_bool(X1,X2)),
    c_0_772 ).

fof(c_0_1652,axiom,
    ! [X1,X2] : is_bool(hAPP_f1082951236l_bool(X1,X2)),
    c_0_773 ).

fof(c_0_1653,axiom,
    ! [X1,X2] : is_bool(hAPP_f1138659662l_bool(X1,X2)),
    c_0_774 ).

fof(c_0_1654,axiom,
    ! [X1,X2] : is_bool(hAPP_f882250837l_bool(X1,X2)),
    c_0_775 ).

fof(c_0_1655,axiom,
    ! [X1,X2] : is_bool(hAPP_f1117143157l_bool(X1,X2)),
    c_0_776 ).

fof(c_0_1656,axiom,
    ! [X1,X2] : is_bool(hAPP_f1965705105l_bool(X1,X2)),
    c_0_777 ).

fof(c_0_1657,axiom,
    ! [X1,X2] : is_bool(hAPP_f1597773170l_bool(X1,X2)),
    c_0_778 ).

fof(c_0_1658,axiom,
    ! [X1,X2] : is_bool(hAPP_f866114756l_bool(X1,X2)),
    c_0_779 ).

fof(c_0_1659,axiom,
    ! [X1,X2] : is_bool(hAPP_f339859954l_bool(X1,X2)),
    c_0_780 ).

fof(c_0_1660,axiom,
    ! [X1,X2] : is_bool(hAPP_f537623936l_bool(X1,X2)),
    c_0_781 ).

fof(c_0_1661,axiom,
    ! [X1,X2] : is_bool(hAPP_f1426445843l_bool(X1,X2)),
    c_0_782 ).

fof(c_0_1662,axiom,
    ! [X1,X2] : is_bool(hAPP_f1637334154l_bool(X1,X2)),
    c_0_783 ).

fof(c_0_1663,axiom,
    ! [X1,X2] : is_bool(hAPP_f1428735377l_bool(X1,X2)),
    c_0_784 ).

fof(c_0_1664,axiom,
    ! [X1,X2] : is_bool(hAPP_f2053170815l_bool(X1,X2)),
    c_0_785 ).

fof(c_0_1665,axiom,
    ! [X1,X2] : is_bool(hAPP_f937100551l_bool(X1,X2)),
    c_0_786 ).

fof(c_0_1666,axiom,
    ! [X1,X2] : is_bool(hAPP_f740740988l_bool(X1,X2)),
    c_0_787 ).

fof(c_0_1667,axiom,
    ! [X1,X2] : is_bool(hAPP_f620747982l_bool(X1,X2)),
    c_0_788 ).

fof(c_0_1668,axiom,
    ! [X1,X2] : is_bool(hAPP_f67777128l_bool(X1,X2)),
    c_0_789 ).

fof(c_0_1669,axiom,
    ! [X1,X2] : is_bool(hAPP_f1291635206l_bool(X1,X2)),
    c_0_790 ).

fof(c_0_1670,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
    c_0_791 ).

fof(c_0_1671,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
    c_0_792 ).

fof(c_0_1672,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
    c_0_793 ).

fof(c_0_1673,axiom,
    ! [X1,X2] : is_bool(hAPP_f2016919811l_bool(X1,X2)),
    c_0_794 ).

fof(c_0_1674,axiom,
    ! [X1,X2] : is_bool(hAPP_f1898839893l_bool(X1,X2)),
    c_0_795 ).

fof(c_0_1675,axiom,
    ! [X1,X2] : is_bool(hAPP_f599997089l_bool(X1,X2)),
    c_0_796 ).

fof(c_0_1676,axiom,
    ! [X1,X2] : is_bool(hAPP_f54304608l_bool(X1,X2)),
    c_0_797 ).

fof(c_0_1677,axiom,
    ! [X1,X2] : is_bool(hAPP_f387058535l_bool(X1,X2)),
    c_0_798 ).

fof(c_0_1678,axiom,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
    c_0_799 ).

fof(c_0_1679,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
    c_0_800 ).

fof(c_0_1680,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
    c_0_801 ).

fof(c_0_1681,axiom,
    ! [X1,X2] : is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
    c_0_802 ).

fof(c_0_1682,axiom,
    ! [X1,X2] : is_bool(hAPP_f212509069l_bool(X1,X2)),
    c_0_803 ).

fof(c_0_1683,axiom,
    ! [X1,X2] : is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
    c_0_804 ).

fof(c_0_1684,axiom,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
    c_0_805 ).

fof(c_0_1685,axiom,
    ! [X1,X2] : is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
    c_0_806 ).

fof(c_0_1686,axiom,
    ! [X1,X2] : is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
    c_0_807 ).

fof(c_0_1687,axiom,
    ! [X1,X2] : is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
    c_0_808 ).

fof(c_0_1688,axiom,
    ! [X1,X2] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
    c_0_809 ).

fof(c_0_1689,axiom,
    ! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
    c_0_810 ).

fof(c_0_1690,axiom,
    ! [X4] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4)),
    c_0_811 ).

fof(c_0_1691,axiom,
    ! [X4] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4)),
    c_0_812 ).

fof(c_0_1692,axiom,
    ! [X4] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4)),
    c_0_813 ).

fof(c_0_1693,axiom,
    ! [X4] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4)),
    c_0_814 ).

fof(c_0_1694,axiom,
    ! [X4] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4)),
    c_0_815 ).

fof(c_0_1695,axiom,
    ! [X4] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4)),
    c_0_816 ).

fof(c_0_1696,axiom,
    ! [X4] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4)),
    c_0_817 ).

fof(c_0_1697,axiom,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    c_0_818 ).

fof(c_0_1698,axiom,
    top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
    c_0_819 ).

fof(c_0_1699,axiom,
    top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
    c_0_820 ).

fof(c_0_1700,axiom,
    top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
    c_0_821 ).

fof(c_0_1701,axiom,
    top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
    c_0_822 ).

fof(c_0_1702,axiom,
    top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
    c_0_823 ).

fof(c_0_1703,axiom,
    top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
    c_0_824 ).

fof(c_0_1704,axiom,
    top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
    c_0_825 ).

fof(c_0_1705,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    c_0_826 ).

fof(c_0_1706,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    c_0_827 ).

fof(c_0_1707,axiom,
    ! [X199] : X199 != hAPP_nat_nat(suc,X199),
    c_0_828 ).

fof(c_0_1708,axiom,
    ! [X199] : hAPP_nat_nat(suc,X199) != X199,
    c_0_829 ).

fof(c_0_1709,axiom,
    ! [X202] :
      ( X202 != zero_zero_nat
     => ~ ! [X223] : X202 != hAPP_nat_nat(suc,X223) ),
    c_0_830 ).

fof(c_0_1710,axiom,
    ! [X199] :
      ( X199 != zero_zero_nat
     => ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
    c_0_831 ).

fof(c_0_1711,axiom,
    ! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
    c_0_832 ).

fof(c_0_1712,axiom,
    ! [X220] : zero_zero_nat != hAPP_nat_nat(suc,X220),
    c_0_833 ).

fof(c_0_1713,axiom,
    ! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
    c_0_834 ).

fof(c_0_1714,axiom,
    ! [X219] : hAPP_nat_nat(suc,X219) != zero_zero_nat,
    c_0_835 ).

fof(c_0_1715,axiom,
    ! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
    c_0_836 ).

fof(c_0_1716,axiom,
    ! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
    c_0_837 ).

fof(c_0_1717,axiom,
    ! [X1] :
      ( is_fun20916972t_bool(X1)
     => is_fun20916972t_bool(collec1376511890le_alt(X1)) ),
    c_0_838 ).

fof(c_0_1718,axiom,
    ! [X1] :
      ( is_fun1420103068l_bool(X1)
     => is_fun1420103068l_bool(collec612883262t_bool(X1)) ),
    c_0_839 ).

fof(c_0_1719,axiom,
    ! [X1] :
      ( is_fun292781289l_bool(X1)
     => is_fun292781289l_bool(collec1517527055t_bool(X1)) ),
    c_0_840 ).

fof(c_0_1720,axiom,
    ! [X1] :
      ( is_fun701126715l_bool(X1)
     => is_fun701126715l_bool(collec1567922785t_bool(X1)) ),
    c_0_841 ).

fof(c_0_1721,axiom,
    ! [X1] :
      ( is_fun1568535512t_bool(X1)
     => is_fun1568535512t_bool(collect_Product_unit(X1)) ),
    c_0_842 ).

fof(c_0_1722,axiom,
    ! [X1] :
      ( is_fun2015243113i_bool(X1)
     => is_fun2015243113i_bool(collec279390863e_indi(X1)) ),
    c_0_843 ).

fof(c_0_1723,axiom,
    ! [X1] :
      ( is_fun20916972t_bool(X1)
     => is_fun1420103068l_bool(inj_on398823523t_bool(X1)) ),
    c_0_844 ).

fof(c_0_1724,axiom,
    ! [X226] : hAPP_nat_nat(cOMBI_nat,X226) = X226,
    c_0_845 ).

fof(c_0_1725,axiom,
    ! [X9] :
      ( is_fun2015243113i_bool(X9)
     => collec279390863e_indi(X9) = X9 ),
    c_0_846 ).

fof(c_0_1726,axiom,
    ! [X9] :
      ( is_fun1568535512t_bool(X9)
     => collect_Product_unit(X9) = X9 ),
    c_0_847 ).

fof(c_0_1727,axiom,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    c_0_848 ).

fof(c_0_1728,axiom,
    ! [X226] :
      ( is_bool(X226)
     => ( X226 = fTrue
        | X226 = fFalse ) ),
    c_0_849 ).

fof(c_0_1729,axiom,
    ! [X226] :
      ( is_bool(X226)
     => ( X226 = fTrue
        | X226 = fFalse ) ),
    c_0_850 ).

fof(c_0_1730,axiom,
    is_bool(undefined_bool(bool)),
    c_0_851 ).

fof(c_0_1731,axiom,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    c_0_852 ).

fof(c_0_1732,axiom,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    c_0_853 ).

fof(c_0_1733,axiom,
    ! [X9] : collect_nat(X9) = X9,
    c_0_854 ).

fof(c_0_1734,axiom,
    ! [X4] :
      ( one_one_nat = X4
    <=> X4 = one_one_nat ),
    c_0_855 ).

fof(c_0_1735,axiom,
    hBOOL(fTrue),
    c_0_856 ).

fof(c_0_1736,axiom,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    c_0_857 ).

fof(c_0_1737,axiom,
    is_Arr723427730le_alt(e),
    c_0_858 ).

fof(c_0_1738,axiom,
    is_Arr723427730le_alt(b),
    c_0_859 ).

fof(c_0_1739,axiom,
    is_Arr723427730le_alt(a),
    c_0_860 ).

fof(c_0_1740,axiom,
    is_fun20916972t_bool(lba),
    c_0_861 ).

fof(c_0_1741,axiom,
    is_fun20916972t_bool(lab),
    c_0_862 ).

fof(c_0_1742,axiom,
    is_bool(fTrue),
    c_0_863 ).

fof(c_0_1743,axiom,
    is_bool(fFalse),
    c_0_864 ).

fof(c_0_1744,axiom,
    is_fun20916972t_bool(top_to1773227171t_bool),
    c_0_865 ).

fof(c_0_1745,axiom,
    is_fun1420103068l_bool(top_to846262053l_bool),
    c_0_866 ).

fof(c_0_1746,axiom,
    is_fun292781289l_bool(top_to1849101472l_bool),
    c_0_867 ).

fof(c_0_1747,axiom,
    is_fun701126715l_bool(top_to935749874l_bool),
    c_0_868 ).

fof(c_0_1748,axiom,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    c_0_869 ).

fof(c_0_1749,axiom,
    is_fun2015243113i_bool(top_to207207712i_bool),
    c_0_870 ).

fof(c_0_1750,axiom,
    is_bool(top_top_bool),
    c_0_871 ).

fof(c_0_1751,axiom,
    is_fun1420103068l_bool(finite955821396le_alt),
    c_0_872 ).

fof(c_0_1752,axiom,
    is_fun292781289l_bool(arrow_1550141362nimity),
    c_0_873 ).

fof(c_0_1753,axiom,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    c_0_874 ).

fof(c_0_1754,axiom,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    c_0_875 ).

fof(c_0_1755,axiom,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    c_0_876 ).

fof(c_0_1756,axiom,
    a != b,
    c_0_877 ).

fof(c_0_1757,axiom,
    c != d,
    c_0_878 ).

fof(c_0_1758,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( is_Arr859726945e_indi(esk2_6(X15,X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk2_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk2_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk2_6(X15,X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk2_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_879])])])]) ).

fof(c_0_1759,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | is_Arr859726945e_indi(esk1_6(X15,X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | is_Arr859726945e_indi(esk1_6(X15,X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk1_6(X15,X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk1_6(X15,X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk1_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X20 = X17
        | X19 = X18
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_880])])])]) ).

fof(c_0_1760,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | is_Arr859726945e_indi(esk4_6(X15,X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | is_Arr859726945e_indi(esk4_6(X15,X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk4_6(X15,X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X16,esk4_6(X15,X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X15,esk4_6(X15,X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_881])])])]) ).

fof(c_0_1761,plain,
    ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) )
    & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ) ),
    inference(fof_nnf,[status(thm)],[c_0_882]) ).

fof(c_0_1762,plain,
    ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) )
    & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ) ),
    inference(fof_nnf,[status(thm)],[c_0_883]) ).

fof(c_0_1763,plain,
    ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) )
    & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ) ),
    inference(fof_nnf,[status(thm)],[c_0_884]) ).

fof(c_0_1764,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_885 ).

fof(c_0_1765,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_886 ).

fof(c_0_1766,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_887 ).

fof(c_0_1767,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    c_0_888 ).

fof(c_0_1768,plain,
    ! [X80] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk27_0),finite354462354e_indi(top_to207207712i_bool)))
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),esk27_0))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X80))),lab)),lba)))) )
      & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk27_0),one_one_nat)))),lab)),lba)))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_889])])])]) ).

fof(c_0_1769,plain,
    ! [X80] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk26_0),finite354462354e_indi(top_to207207712i_bool)))
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),esk26_0))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X80))),lab)),lba)))) )
      & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk26_0),one_one_nat)))),lab)),lba)))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_890])])])]) ).

fof(c_0_1770,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    c_0_891 ).

fof(c_0_1771,plain,
    ! [X26,X27,X28,X29,X30,X32,X37] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | is_Arr859726945e_indi(esk9_5(X26,X27,X28,X29,X30))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | is_Arr859726945e_indi(esk9_5(X26,X27,X28,X29,X30))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X27,esk9_5(X26,X27,X28,X29,X30))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X28,esk9_5(X26,X27,X28,X29,X30))))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X27,esk9_5(X26,X27,X28,X29,X30))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X28,esk9_5(X26,X27,X28,X29,X30))))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X27,esk9_5(X26,X27,X28,X29,X30))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X28,esk9_5(X26,X27,X28,X29,X30))))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X28)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_f1817389232t_bool(X26,X27)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X27,esk9_5(X26,X27,X28,X29,X30))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X29),X30)),hAPP_A340536322t_bool(X28,esk9_5(X26,X27,X28,X29,X30))))
        | ~ is_Arr723427730le_alt(X29)
        | ~ is_Arr723427730le_alt(X30)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X28),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X27),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X26)) )
      & ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk10_1(X32)),arrow_583275979e_Prof))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk11_1(X32)),arrow_583275979e_Prof))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( is_Arr723427730le_alt(esk12_1(X32))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( is_Arr723427730le_alt(esk13_1(X32))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_A340536322t_bool(esk10_1(X32),X37)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_A340536322t_bool(esk11_1(X32),X37)))
        | ~ is_Arr859726945e_indi(X37)
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_A340536322t_bool(esk11_1(X32),X37)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_A340536322t_bool(esk10_1(X32),X37)))
        | ~ is_Arr859726945e_indi(X37)
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_f1817389232t_bool(X32,esk10_1(X32))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_f1817389232t_bool(X32,esk11_1(X32))))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) )
      & ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_f1817389232t_bool(X32,esk10_1(X32))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X32)),esk13_1(X32))),hAPP_f1817389232t_bool(X32,esk11_1(X32))))
        | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X32)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_892])])])])])]) ).

fof(c_0_1772,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | is_Arr859726945e_indi(esk3_5(X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | is_Arr859726945e_indi(esk3_5(X16,X17,X18,X19,X20))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X17,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_A340536322t_bool(X16,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X17,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_A340536322t_bool(X16,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X17,esk3_5(X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_A340536322t_bool(X16,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_f1817389232t_bool(f,X17)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20)),hAPP_A340536322t_bool(X17,esk3_5(X16,X17,X18,X19,X20))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X20),X18)),hAPP_A340536322t_bool(X16,esk3_5(X16,X17,X18,X19,X20))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X17),arrow_583275979e_Prof))
        | X19 = X18
        | X20 = X18
        | X19 = X20
        | ~ is_Arr723427730le_alt(X18)
        | ~ is_Arr723427730le_alt(X19)
        | ~ is_Arr723427730le_alt(X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_893])])])]) ).

fof(c_0_1773,plain,
    ! [X30] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X30),n))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X30))),lab)),lba)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_894])]) ).

fof(c_0_1774,plain,
    ! [X27] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X27))),lab)),lba)),arrow_583275979e_Prof)),
    inference(variable_rename,[status(thm)],[c_0_895]) ).

fof(c_0_1775,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | is_Arr859726945e_indi(esk5_4(X15,X16,X17,X18))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | is_Arr859726945e_indi(esk5_4(X15,X16,X17,X18))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X16,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_A340536322t_bool(X15,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X16,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_A340536322t_bool(X15,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X16,esk5_4(X15,X16,X17,X18))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_A340536322t_bool(X15,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_f1817389232t_bool(f,X15)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(f,X16)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X16,esk5_4(X15,X16,X17,X18))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X17)),hAPP_A340536322t_bool(X15,esk5_4(X15,X16,X17,X18))))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X16),arrow_583275979e_Prof))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_896])])])]) ).

fof(c_0_1776,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X74)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X75)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X76),X77))
        | hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X76)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_897])])])]) ).

fof(c_0_1777,plain,
    ! [X222,X223] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X223))
      | hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X223)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X222))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X223)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X222))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_898])]) ).

fof(c_0_1778,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_899])])])])]) ).

fof(c_0_1779,plain,
    ! [X25,X26,X27,X28,X30,X34] :
      ( ( is_Arr859726945e_indi(esk14_4(X25,X26,X27,X28))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X27),X28)),hAPP_f1817389232t_bool(X25,X26)))
        | ~ is_Arr723427730le_alt(X27)
        | ~ is_Arr723427730le_alt(X28)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X26),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X25)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X27),X28)),hAPP_A340536322t_bool(X26,esk14_4(X25,X26,X27,X28))))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X27),X28)),hAPP_f1817389232t_bool(X25,X26)))
        | ~ is_Arr723427730le_alt(X27)
        | ~ is_Arr723427730le_alt(X28)
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X26),arrow_583275979e_Prof))
        | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X25)) )
      & ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk15_1(X30)),arrow_583275979e_Prof))
        | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X30)) )
      & ( is_Arr723427730le_alt(esk16_1(X30))
        | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X30)) )
      & ( is_Arr723427730le_alt(esk17_1(X30))
        | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X30)) )
      & ( ~ is_Arr859726945e_indi(X34)
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X30)),esk17_1(X30))),hAPP_A340536322t_bool(esk15_1(X30),X34)))
        | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X30)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X30)),esk17_1(X30))),hAPP_f1817389232t_bool(X30,esk15_1(X30))))
        | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X30)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_900])])])])])]) ).

fof(c_0_1780,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hAPP_A1895296483di_nat(h,X15) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hAPP_A1895296483di_nat(h,X15) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
      & ( hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_901])])])])]) ).

fof(c_0_1781,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X15)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X15))) )
      & ( hAPP_A1895296483di_nat(h,X15) != n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X15)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X15))) )
      & ( hAPP_A1895296483di_nat(h,X15) = n
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X15)),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X15)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X15))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hAPP_A1895296483di_nat(h,X16) = n
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X16)),n))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | hAPP_A1895296483di_nat(h,X16) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | hAPP_A1895296483di_nat(h,X16) = n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( hAPP_A1895296483di_nat(h,X16) != n
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X16)),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X16)),c),e)))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X16)),e)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X16))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_902])])])])]) ).

fof(c_0_1782,plain,
    ! [X216,X217,X218,X219] :
      ( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | ~ hBOOL(hAPP_P1813625415t_bool(X218,esk64_4(X216,X217,X218,X219)))
        | ~ hBOOL(hAPP_P1813625415t_bool(X217,esk64_4(X216,X217,X218,X219))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | ~ hBOOL(hAPP_P1813625415t_bool(X218,esk64_4(X216,X217,X218,X219)))
        | ~ hBOOL(hAPP_P1813625415t_bool(X217,esk64_4(X216,X217,X218,X219))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_P1813625415t_bool(X218,esk64_4(X216,X217,X218,X219)))
        | hBOOL(hAPP_P1813625415t_bool(X217,esk64_4(X216,X217,X218,X219))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X217),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X218),pi_Pro1873779901t_bool(X219,X216)))
        | hBOOL(hAPP_P1813625415t_bool(X218,esk64_4(X216,X217,X218,X219)))
        | hBOOL(hAPP_P1813625415t_bool(X217,esk64_4(X216,X217,X218,X219))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_903])])])]) ).

fof(c_0_1783,plain,
    ! [X207,X208,X209] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk56_3(X207,X208,X209)),esk57_3(X207,X208,X209)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X209,X207)),X208)),hAPP_nat_nat(X209,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X209,esk56_3(X207,X208,X209))),hAPP_nat_nat(X209,esk57_3(X207,X208,X209))))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X209,X207)),X208)),hAPP_nat_nat(X209,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_904])])])]) ).

fof(c_0_1784,plain,
    ! [X222,X223] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X223))
      | finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X223)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X222)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X223)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X222))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_905])]) ).

fof(c_0_1785,plain,
    ! [X74,X75,X78,X79] :
      ( ( is_Arr723427730le_alt(esk20_2(X74,X75))
        | X75 = X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) )
      & ( is_Arr723427730le_alt(esk21_2(X74,X75))
        | X75 = X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X74,X75)),esk21_2(X74,X75))),X75))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X74,X75)),esk21_2(X74,X75))),X74))
        | X75 = X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) )
      & ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X74,X75)),esk21_2(X74,X75))),X75))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X74,X75)),esk21_2(X74,X75))),X74))
        | X75 = X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X78),X79)),X75))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X78),X79)),X74))
        | ~ is_Arr723427730le_alt(X78)
        | ~ is_Arr723427730le_alt(X79)
        | X75 != X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X78),X79)),X74))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X78),X79)),X75))
        | ~ is_Arr723427730le_alt(X78)
        | ~ is_Arr723427730le_alt(X79)
        | X75 != X74
        | ~ is_fun20916972t_bool(X74)
        | ~ is_fun20916972t_bool(X75) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_906])])])])]) ).

fof(c_0_1786,plain,
    ! [X214,X215,X216] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk58_3(X214,X215,X216)),esk59_3(X214,X215,X216)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X214),X215))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X216,X214)),hAPP_nat_nat(X216,X215))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X216,esk58_3(X214,X215,X216))),hAPP_nat_nat(X216,esk59_3(X214,X215,X216))))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X214),X215))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X216,X214)),hAPP_nat_nat(X216,X215))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_907])])])]) ).

fof(c_0_1787,plain,
    ! [X196,X197,X198] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk46_3(X196,X197,X198)),X198))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X198,X196)),pi_fun1555365306t_bool(X198,X197))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X196,esk46_3(X196,X197,X198))),hAPP_f1895971544l_bool(X197,esk46_3(X196,X197,X198))))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X198,X196)),pi_fun1555365306t_bool(X198,X197))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_908])])])]) ).

fof(c_0_1788,plain,
    ! [X196,X197,X198] :
      ( ( is_Arr859726945e_indi(esk45_3(X196,X197,X198))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X198,X196)),pi_Arr1801471756t_bool(X198,X197))) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk45_3(X196,X197,X198)),X198))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X198,X196)),pi_Arr1801471756t_bool(X198,X197))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X196,esk45_3(X196,X197,X198))),hAPP_A659996934l_bool(X197,esk45_3(X196,X197,X198))))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X198,X196)),pi_Arr1801471756t_bool(X198,X197))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_909])])])]) ).

fof(c_0_1789,plain,
    ! [X196,X197,X198] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk44_3(X196,X197,X198)),X198))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X198,X196)),pi_Pro1873779901t_bool(X198,X197))) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X196,esk44_3(X196,X197,X198))),hAPP_P1122857141l_bool(X197,esk44_3(X196,X197,X198))))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X198,X196)),pi_Pro1873779901t_bool(X198,X197))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_910])])])]) ).

fof(c_0_1790,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ( X14 != X15
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X18
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | X14 = X17
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X17)),X16))
        | X14 = X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 = X18
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X14 = X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X18
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | X15 = X18
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X15 = X18
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | X14 != X17
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X14 != X17
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X17)),X16))
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X17)),X16))
        | X14 = X18
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | X15 = X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X15 = X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | X14 != X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X14 != X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X17)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X17)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X15)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X16),X17),X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_911])])]) ).

fof(c_0_1791,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk69_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X77,esk69_3(X77,X78,X79))),hAPP_f1895971544l_bool(X78,esk69_3(X77,X78,X79))))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_912])])])]) ).

fof(c_0_1792,plain,
    ! [X77,X78,X79] :
      ( ( is_Arr859726945e_indi(esk68_3(X77,X78,X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk68_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X77,esk68_3(X77,X78,X79))),hAPP_A659996934l_bool(X78,esk68_3(X77,X78,X79))))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_913])])])]) ).

fof(c_0_1793,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk67_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X77,esk67_3(X77,X78,X79))),hAPP_P1122857141l_bool(X78,esk67_3(X77,X78,X79))))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_914])])])]) ).

fof(c_0_1794,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk36_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X77,esk36_3(X77,X78,X79))),hAPP_f1895971544l_bool(X78,esk36_3(X77,X78,X79))))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_915])])])]) ).

fof(c_0_1795,plain,
    ! [X77,X78,X79] :
      ( ( is_Arr859726945e_indi(esk35_3(X77,X78,X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk35_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X77,esk35_3(X77,X78,X79))),hAPP_A659996934l_bool(X78,esk35_3(X77,X78,X79))))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_916])])])]) ).

fof(c_0_1796,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk34_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,X78))) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X77,esk34_3(X77,X78,X79))),hAPP_P1122857141l_bool(X78,esk34_3(X77,X78,X79))))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,X78))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_917])])])]) ).

fof(c_0_1797,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ( X14 != X15
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X17
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | X15 = X18
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X15)),X16))
        | X15 = X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 = X17
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X15 = X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X17
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | X14 = X17
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X14 = X17
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | X15 != X18
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X15 != X18
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X15)),X16))
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X15)),X16))
        | X15 = X17
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X15 != X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | X14 = X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X14 = X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | X15 != X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | X15 != X18
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( X14 != X17
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X18),X15)),X16))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X18)),X16))
        | X14 = X15
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),arrow_207701375_below(X16,X17,X18)))
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
        | X17 = X18
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X17)
        | ~ is_Arr723427730le_alt(X18) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_918])])]) ).

fof(c_0_1798,plain,
    ! [X216,X217,X218,X219] :
      ( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X217),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X218),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X218),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X217),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X217),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X218),pi_fun1555365306t_bool(X219,X216)))
        | hAPP_f1817389232t_bool(X217,esk66_4(X216,X217,X218,X219)) != hAPP_f1817389232t_bool(X218,esk66_4(X216,X217,X218,X219)) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X218),pi_fun1555365306t_bool(X219,X216)))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X217),pi_fun1555365306t_bool(X219,X216)))
        | hAPP_f1817389232t_bool(X217,esk66_4(X216,X217,X218,X219)) != hAPP_f1817389232t_bool(X218,esk66_4(X216,X217,X218,X219)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_919])])])]) ).

fof(c_0_1799,plain,
    ! [X216,X217,X218,X219] :
      ( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | is_Arr859726945e_indi(esk65_4(X216,X217,X218,X219)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | is_Arr859726945e_indi(esk65_4(X216,X217,X218,X219)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X216,X217,X218,X219)),X219)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | hAPP_A340536322t_bool(X217,esk65_4(X216,X217,X218,X219)) != hAPP_A340536322t_bool(X218,esk65_4(X216,X217,X218,X219)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X218),pi_Arr1801471756t_bool(X219,X216)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X217),pi_Arr1801471756t_bool(X219,X216)))
        | hAPP_A340536322t_bool(X217,esk65_4(X216,X217,X218,X219)) != hAPP_A340536322t_bool(X218,esk65_4(X216,X217,X218,X219)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_920])])])]) ).

fof(c_0_1800,plain,
    ! [X76,X77] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk22_2(X76,X77)),arrow_583275979e_Prof))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
      & ( is_Arr723427730le_alt(esk23_2(X76,X77))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
      & ( is_Arr723427730le_alt(esk24_2(X76,X77))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
      & ( esk23_2(X76,X77) != esk24_2(X76,X77)
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
      & ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X76,X77)),esk24_2(X76,X77))),hAPP_A340536322t_bool(esk22_2(X76,X77),X76)))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X76,X77)),esk24_2(X76,X77))),hAPP_f1817389232t_bool(X77,esk22_2(X76,X77))))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X77),X76))
        | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_921])])])]) ).

fof(c_0_1801,plain,
    ! [X222,X223] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X223))
      | finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X223)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X222))))) != zero_zero_nat ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_922])]) ).

fof(c_0_1802,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk62_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X78)))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X77,esk62_3(X77,X78,X79))),X78))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X79,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X78)))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_923])])])]) ).

fof(c_0_1803,plain,
    ! [X77,X78,X79] :
      ( ( is_Arr859726945e_indi(esk61_3(X77,X78,X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X78)))) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk61_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X78)))) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X77,esk61_3(X77,X78,X79))),X78))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X79,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X78)))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_924])])])]) ).

fof(c_0_1804,plain,
    ! [X77,X78,X79] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk60_3(X77,X78,X79)),X79))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X78)))) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X77,esk60_3(X77,X78,X79))),X78))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X79,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X78)))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_925])])])]) ).

fof(c_0_1805,plain,
    ! [X217,X218] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X217,X218)),hAPP_nat_nat(X218,esk80_2(X217,X218))))
      | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X218)),X217)))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_926])])]) ).

fof(c_0_1806,plain,
    ! [X7,X8,X9] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X7),X8)),X9))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X7)),X9))
        | X7 = X8
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X9),arrow_912654623le_Lin))
        | ~ is_Arr723427730le_alt(X7)
        | ~ is_Arr723427730le_alt(X8) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X7)),X9))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X7),X8)),X9))
        | X7 = X8
        | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X9),arrow_912654623le_Lin))
        | ~ is_Arr723427730le_alt(X7)
        | ~ is_Arr723427730le_alt(X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_927])])])])]) ).

fof(c_0_1807,plain,
    ! [X14,X15,X16] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X16),arrow_912654623le_Lin))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15)),X16))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X14)),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_928])]) ).

fof(c_0_1808,plain,
    ! [X8,X9,X10,X11] :
      ( ( X8 != X11
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X9 != X11
        | X8 != X9
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X9 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X9 != X11
        | X9 = X11
        | X8 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | X9 = X11
        | X8 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X9 != X11
        | X8 = X9
        | X8 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | X8 = X9
        | X8 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_929])])]) ).

fof(c_0_1809,plain,
    ! [X8,X9,X10,X11] :
      ( ( X9 != X11
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X8 != X11
        | X8 != X9
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X8 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X8 != X11
        | X8 = X11
        | X9 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | X8 = X11
        | X9 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( X8 != X11
        | X8 = X9
        | X9 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),X10))
        | X8 = X9
        | X9 = X11
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X8),X9)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X10),X11)))
        | ~ is_Arr723427730le_alt(X8)
        | ~ is_Arr723427730le_alt(X9)
        | ~ is_Arr723427730le_alt(X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_930])])]) ).

fof(c_0_1810,plain,
    ! [X82,X83] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X82,esk43_2(X82,X83))),hAPP_nat_bool(X83,esk43_2(X82,X83))))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X82),X83)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_931])])]) ).

fof(c_0_1811,plain,
    ! [X82,X83,X84,X85,X86] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X82),X83))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X82,X84)),hAPP_nat_bool(X83,X84))) )
      & ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X85,esk28_2(X85,X86))),hAPP_nat_bool(X86,esk28_2(X85,X86))))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X85),X86)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_932])])])])]) ).

fof(c_0_1812,plain,
    ! [X76,X77] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X76),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X77))))),
    inference(variable_rename,[status(thm)],[c_0_933]) ).

fof(c_0_1813,plain,
    ! [X82,X83,X84,X85] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X83),pi_fun1555365306t_bool(X84,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X85))))
      | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X83),X84))
      | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X82),pi_fun328162388t_bool(X85,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X84))))
      | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X82),X85))
      | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X84))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X85))
      | finite1524925796t_bool(X84) = finite945540987t_bool(X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_934])]) ).

fof(c_0_1814,plain,
    ! [X82,X83,X84,X85] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X83),pi_Arr1801471756t_bool(X84,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X85))))
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X83),X84))
      | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X82),pi_fun596906370e_indi(X85,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X84))))
      | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X82),X85))
      | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X84))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X85))
      | finite354462354e_indi(X84) = finite945540987t_bool(X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_935])]) ).

fof(c_0_1815,plain,
    ! [X82,X83,X84,X85] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X83),pi_Pro1873779901t_bool(X84,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X85))))
      | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X83),X84))
      | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X82),pi_boo1542163389le_alt(X85,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X84))))
      | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X82),X85))
      | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X84))
      | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X85))
      | finite1044330389le_alt(X84) = finite_card_bool(X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_936])]) ).

fof(c_0_1816,plain,
    ! [X82,X83,X84,X85] :
      ( ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X83),pi_fun328162388t_bool(X84,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X85))))
      | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X83),X84))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X82),pi_fun1555365306t_bool(X85,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X84))))
      | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X82),X85))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X84))
      | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X85))
      | finite945540987t_bool(X84) = finite1524925796t_bool(X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_937])]) ).

fof(c_0_1817,plain,
    ! [X82,X83,X84,X85] :
      ( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X83),pi_fun596906370e_indi(X84,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X85))))
      | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X83),X84))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X82),pi_Arr1801471756t_bool(X85,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X84))))
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X82),X85))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X84))
      | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X85))
      | finite945540987t_bool(X84) = finite354462354e_indi(X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_938])]) ).

fof(c_0_1818,plain,
    ! [X7,X8,X9] :
      ( ~ is_Arr723427730le_alt(X8)
      | ~ is_Arr723427730le_alt(X9)
      | X8 = X9
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X7),arrow_912654623le_Lin))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X7),X8),X9)),arrow_912654623le_Lin)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_939])]) ).

fof(c_0_1819,plain,
    ! [X207,X208] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X207),hAPP_n1699378549t_bool(ord_at4362885an_nat(X208),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),finite_card_nat(X207)))))
      | X207 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X208),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),finite_card_nat(X207))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_940])]) ).

fof(c_0_1820,plain,
    ! [X207,X208,X209,X210,X211,X212] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X209)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X208),X209)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X212))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X211)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X212))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_941])])])]) ).

fof(c_0_1821,plain,
    ! [X207,X208,X209,X210,X211,X212] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X209)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),X209)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X212))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X211)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X212))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_942])])])]) ).

fof(c_0_1822,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X18),X17)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X16),X18)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X19),X21))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X21),X20))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_943])])])]) ).

fof(c_0_1823,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X18)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X17),X18)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X21))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_944])])])]) ).

fof(c_0_1824,plain,
    ! [X185,X186,X187] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X185),X186)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X187),X186)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X185),X187)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_945])]) ).

fof(c_0_1825,plain,
    ! [X182,X183,X184] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X182),X183)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X182),X184)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X183),X184)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_946])]) ).

fof(c_0_1826,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X18),X17)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X16),X18)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X19),X21))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X21),X20))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_947])])])]) ).

fof(c_0_1827,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X18)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X17),X18)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X21))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_948])])])]) ).

fof(c_0_1828,plain,
    ! [X169,X170,X171] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X169),X170)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X171),X170)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X171)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_949])]) ).

fof(c_0_1829,plain,
    ! [X166,X167,X168] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X166),X167)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X166),X168)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X167),X168)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_950])]) ).

fof(c_0_1830,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X74)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X75)))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X76),X77))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X76)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_951])])])]) ).

fof(c_0_1831,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X74)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X75)))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X76),X77))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X76)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_952])])])]) ).

fof(c_0_1832,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X74)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X75)))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X76),X77))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X76)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_953])])])]) ).

fof(c_0_1833,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X74)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X75)))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X76),X77))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X76)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_954])])])]) ).

fof(c_0_1834,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X74)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X75)))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X77))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X76)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_955])])])]) ).

fof(c_0_1835,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X74)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X75)))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X76),X77))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X76)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_956])])])]) ).

fof(c_0_1836,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X74)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X75)))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X76),X77))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X76)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_957])])])]) ).

fof(c_0_1837,plain,
    ! [X74,X75,X76,X77] :
      ( ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X74)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X75)))
        | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X74),X75)) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X76),X77))
        | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X76)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X77))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_958])])])]) ).

fof(c_0_1838,plain,
    ! [X211,X212,X213,X214] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X213),X214))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X212))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X213),X211)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X214),X212))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_959])]) ).

fof(c_0_1839,plain,
    ! [X211,X212,X213,X214] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X213),X214))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X212))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X213),X211)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X214),X212))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_960])]) ).

fof(c_0_1840,plain,
    ! [X189,X190,X191,X192] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X191),X192))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X189),X190))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X191),X189)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X192),X190))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_961])]) ).

fof(c_0_1841,plain,
    ! [X173,X174,X175,X176] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X175),X176))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X173),X174))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X175),X173)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X176),X174))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_962])]) ).

fof(c_0_1842,plain,
    ! [X149,X150,X151,X152] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X151),X152))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X149),X150))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X151),X149)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X152),X150))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_963])]) ).

fof(c_0_1843,plain,
    ! [X145,X146,X147,X148] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X147),X148))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X145),X146))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X147),X145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X148),X146))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_964])]) ).

fof(c_0_1844,plain,
    ! [X213,X214,X215] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk88_3(X213,X214,X215)),X215))
        | hBOOL(hAPP_nat_bool(X213,X214))
        | ~ hBOOL(hAPP_nat_bool(X213,X215))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X214),X215)) )
      & ( hBOOL(hAPP_nat_bool(X213,hAPP_nat_nat(suc,esk88_3(X213,X214,X215))))
        | hBOOL(hAPP_nat_bool(X213,X214))
        | ~ hBOOL(hAPP_nat_bool(X213,X215))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X214),X215)) )
      & ( ~ hBOOL(hAPP_nat_bool(X213,esk88_3(X213,X214,X215)))
        | hBOOL(hAPP_nat_bool(X213,X214))
        | ~ hBOOL(hAPP_nat_bool(X213,X215))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X214),X215)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_965])])])]) ).

fof(c_0_1845,plain,
    ! [X74,X75,X76,X77,X78,X79] :
      ( ( ~ hBOOL(in_rel1361124802le_alt(X74,X75,X76))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X75),X76)),X74)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X78),X79)),X77))
        | hBOOL(in_rel1361124802le_alt(X77,X78,X79)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_966])])])]) ).

fof(c_0_1846,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X210)),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X209),X211)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_967])]) ).

fof(c_0_1847,plain,
    ! [X200,X201,X202] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),X202))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_968])]) ).

fof(c_0_1848,plain,
    ! [X200,X201,X202] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),X202))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X202)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_969])]) ).

fof(c_0_1849,plain,
    ! [X200,X201,X202] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),X202)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),X202)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_970])])]) ).

fof(c_0_1850,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X78),pi_fun1555365306t_bool(X79,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X80))))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X78,X77)),X80)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_971])]) ).

fof(c_0_1851,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),pi_Arr1801471756t_bool(X79,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X80))))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X78,X77)),X80)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_972])]) ).

fof(c_0_1852,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X78),pi_Pro1873779901t_bool(X79,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X80))))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X78,X77)),X80)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_973])]) ).

fof(c_0_1853,plain,
    ! [X7,X8,X9] :
      ( ~ is_Arr723427730le_alt(X8)
      | ~ is_Arr723427730le_alt(X9)
      | X8 = X9
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X7),arrow_912654623le_Lin))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X7,X8,X9)),arrow_912654623le_Lin)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_974])]) ).

fof(c_0_1854,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X209)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),X209))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_975])]) ).

fof(c_0_1855,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X209)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),X209))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_976])]) ).

fof(c_0_1856,plain,
    ! [X195,X196,X197] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X196),X197))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X196),X195)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X195))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_977])]) ).

fof(c_0_1857,plain,
    ! [X192,X193,X194] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X193),X194))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X192),X193)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X192),X194))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_978])]) ).

fof(c_0_1858,plain,
    ! [X179,X180,X181] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X180),X181))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X180),X179)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X181),X179))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_979])]) ).

fof(c_0_1859,plain,
    ! [X176,X177,X178] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X178))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X176),X177)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X176),X178))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_980])]) ).

fof(c_0_1860,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    c_0_981 ).

fof(c_0_1861,plain,
    ! [X82,X83,X84] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | is_Arr859726945e_indi(esk75_3(X82,X83,X84)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | is_Arr859726945e_indi(esk75_3(X82,X83,X84)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X82,X83,X84)),X84)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X82,X83,X84)),X84)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | hAPP_A1895296483di_nat(X82,esk75_3(X82,X83,X84)) != hAPP_A1895296483di_nat(X83,esk75_3(X82,X83,X84)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),X84))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X82),X84))
        | hAPP_A1895296483di_nat(X82,esk75_3(X82,X83,X84)) != hAPP_A1895296483di_nat(X83,esk75_3(X82,X83,X84)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_982])])])]) ).

fof(c_0_1862,plain,
    ! [X82,X83,X84] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X82),X84))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X83),X84))
        | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X82,X83,X84)),X84)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X83),X84))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X82),X84))
        | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X82,X83,X84)),X84)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X82),X84))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X83),X84))
        | hAPP_nat_nat(X82,esk74_3(X82,X83,X84)) != hAPP_nat_nat(X83,esk74_3(X82,X83,X84)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X83),X84))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X82),X84))
        | hAPP_nat_nat(X82,esk74_3(X82,X83,X84)) != hAPP_nat_nat(X83,esk74_3(X82,X83,X84)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_983])])])]) ).

fof(c_0_1863,plain,
    ! [X209,X210] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X210)),X210)),
    inference(variable_rename,[status(thm)],[c_0_984]) ).

fof(c_0_1864,plain,
    ! [X209,X210] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X210)),X209)),
    inference(variable_rename,[status(thm)],[c_0_985]) ).

fof(c_0_1865,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),pi_fun1555365306t_bool(X78,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X79))))
      | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X77),X78))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X79))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X78)),finite945540987t_bool(X79))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_986])]) ).

fof(c_0_1866,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),pi_Arr1801471756t_bool(X78,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X79))))
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X77),X78))
      | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X79))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X78)),finite945540987t_bool(X79))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_987])]) ).

fof(c_0_1867,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),pi_Pro1873779901t_bool(X78,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X79))))
      | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X77),X78))
      | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X79))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X78)),finite_card_bool(X79))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_988])]) ).

fof(c_0_1868,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X77),pi_Arr604548589di_nat(X78,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X79))))
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X79))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X78)),finite_card_nat(X79))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_989])]) ).

fof(c_0_1869,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X77),pi_nat_nat(X78,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X79))))
      | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X79))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X78)),finite_card_nat(X79))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_990])]) ).

fof(c_0_1870,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X78),pi_fun1555365306t_bool(X79,X80)))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X78,X77)),hAPP_f1895971544l_bool(X80,X77))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_991])]) ).

fof(c_0_1871,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),pi_Arr1801471756t_bool(X79,X80)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X78,X77)),hAPP_A659996934l_bool(X80,X77))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_992])]) ).

fof(c_0_1872,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X78),pi_Pro1873779901t_bool(X79,X80)))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X78,X77)),hAPP_P1122857141l_bool(X80,X77))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_993])]) ).

fof(c_0_1873,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),pi_Arr1801471756t_bool(X79,X80)))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X78,X77)),hAPP_A659996934l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_994])]) ).

fof(c_0_1874,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X78),pi_fun1555365306t_bool(X79,X80)))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X78,X77)),hAPP_f1895971544l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_995])]) ).

fof(c_0_1875,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X78),pi_nat_Product_unit(X79,X80)))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X78,X77)),hAPP_n454528608t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_996])]) ).

fof(c_0_1876,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X78),pi_nat_bool(X79,X80)))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X78,X77)),hAPP_n1006566506l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_997])]) ).

fof(c_0_1877,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X78),pi_nat1476290531e_indi(X79,X80)))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X78,X77)),hAPP_n1600508401i_bool(X80,X77)))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_998])]) ).

fof(c_0_1878,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X78),pi_fun1012573681t_unit(X79,X80)))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X78,X77)),hAPP_f649586561t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_999])]) ).

fof(c_0_1879,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X78),pi_fun568395771l_bool(X79,X80)))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X78,X77)),hAPP_f812095627l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1000])]) ).

fof(c_0_1880,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X78),pi_fun596906370e_indi(X79,X80)))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X78,X77)),hAPP_f431432850i_bool(X80,X77)))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1001])]) ).

fof(c_0_1881,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X78),pi_fun1390764464t_unit(X79,X80)))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X78,X77)),hAPP_f1841347694t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1002])]) ).

fof(c_0_1882,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X78),pi_fun187048122l_bool(X79,X80)))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X78,X77)),hAPP_f721327224l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1003])]) ).

fof(c_0_1883,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X78),pi_fun1353458625e_indi(X79,X80)))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X78,X77)),hAPP_f783549695i_bool(X80,X77)))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1004])]) ).

fof(c_0_1884,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X78),pi_fun623621634t_unit(X79,X80)))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X78,X77)),hAPP_f1009478556t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1005])]) ).

fof(c_0_1885,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X78),pi_fun1236347660l_bool(X79,X80)))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X78,X77)),hAPP_f591334822l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1006])]) ).

fof(c_0_1886,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X78),pi_fun268174099e_indi(X79,X80)))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X78,X77)),hAPP_f1570138413i_bool(X80,X77)))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1007])]) ).

fof(c_0_1887,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X78),pi_Pro269694131t_unit(X79,X80)))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X78,X77)),hAPP_P822772139t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1008])]) ).

fof(c_0_1888,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X78),pi_Pro58544964e_indi(X79,X80)))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X78,X77)),hAPP_P957402556i_bool(X80,X77)))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1009])]) ).

fof(c_0_1889,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X78),pi_Product_unit_nat(X79,X80)))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X78,X77)),hAPP_P32877782t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1010])]) ).

fof(c_0_1890,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X78),pi_bool_nat(X79,X80)))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X78,X77)),hAPP_b1013836512t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1011])]) ).

fof(c_0_1891,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X78),pi_Arr604548589di_nat(X79,X80)))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X78,X77)),hAPP_A1948275303t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1012])]) ).

fof(c_0_1892,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X78),pi_Pro1925515229t_bool(X79,X80)))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X78,X77)),hAPP_P288224245l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1013])]) ).

fof(c_0_1893,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X78),pi_boo1746012499t_bool(X79,X80)))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X78,X77)),hAPP_b805997823l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1014])]) ).

fof(c_0_1894,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X78),pi_Pro831923248t_bool(X79,X80)))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X78,X77)),hAPP_P1305865168l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1015])]) ).

fof(c_0_1895,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X78),pi_boo68262458t_bool(X79,X80)))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X78,X77)),hAPP_b651754310l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1016])]) ).

fof(c_0_1896,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X78),pi_Arr742795713t_bool(X79,X80)))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X78,X77)),hAPP_A955165183l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1017])]) ).

fof(c_0_1897,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X78),pi_Pro1114473858t_bool(X79,X80)))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X78,X77)),hAPP_P667392034l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1018])]) ).

fof(c_0_1898,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X78),pi_boo679625100t_bool(X79,X80)))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X78,X77)),hAPP_b1461182872l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1019])]) ).

fof(c_0_1899,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X78),pi_Arr656802323t_bool(X79,X80)))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X78,X77)),hAPP_A701636433l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1020])]) ).

fof(c_0_1900,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X78),pi_Pro1208494515le_alt(X79,X80)))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X78,X77)),hAPP_P401722323t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1021])]) ).

fof(c_0_1901,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X78),pi_boo1542163389le_alt(X79,X80)))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X78,X77)),hAPP_b763490121t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1022])]) ).

fof(c_0_1902,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X78),pi_Arr1064242500le_alt(X79,X80)))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X78,X77)),hAPP_A340536322t_bool(X80,X77)))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1023])]) ).

fof(c_0_1903,plain,
    ! [X77,X78,X79,X80] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X78),pi_Pro1873779901t_bool(X79,X80)))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X78,X77)),hAPP_P1122857141l_bool(X80,X77)))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1024])]) ).

fof(c_0_1904,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    c_0_1025 ).

fof(c_0_1905,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    c_0_1026 ).

fof(c_0_1906,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X201))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X203))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1027])])])])]) ).

fof(c_0_1907,plain,
    ! [X7,X8] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X8),arrow_912654623le_Lin))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X8),X7)),arrow_912654623le_Lin)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1028])]) ).

fof(c_0_1908,plain,
    ! [X7,X8] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X8),arrow_912654623le_Lin))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X8),X7)),arrow_912654623le_Lin)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1029])]) ).

fof(c_0_1909,plain,
    ! [X201,X202,X203] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | X202 = X203
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X203)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | X202 = X203
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X203)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X203)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X203)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | X202 = X203
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | X202 = X203
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202)) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X201,X203),X202)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1030])])]) ).

fof(c_0_1910,plain,
    ! [X212,X213,X215] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk82_2(X212,X213)),X212))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X215),esk82_2(X212,X213)))
        | ~ hBOOL(hAPP_nat_bool(X213,X215))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) )
      & ( hBOOL(hAPP_nat_bool(X213,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk82_2(X212,X213)),one_one_nat)))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1031])])])])]) ).

fof(c_0_1911,plain,
    ! [X25,X26] :
      ( ( is_fun20916972t_bool(esk25_2(X25,X26))
        | X25 = X26
        | ~ is_Arr723427730le_alt(X25)
        | ~ is_Arr723427730le_alt(X26) )
      & ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk25_2(X25,X26)),arrow_912654623le_Lin))
        | X25 = X26
        | ~ is_Arr723427730le_alt(X25)
        | ~ is_Arr723427730le_alt(X26) )
      & ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X25),X26)),esk25_2(X25,X26)))
        | X25 = X26
        | ~ is_Arr723427730le_alt(X25)
        | ~ is_Arr723427730le_alt(X26) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1032])])])]) ).

fof(c_0_1912,plain,
    ! [X19,X21,X22,X23,X26] :
      ( ( ~ hBOOL(hAPP_P1813625415t_bool(X19,esk6_1(X19)))
        | ~ is_Arr723427730le_alt(X21)
        | ~ is_Arr723427730le_alt(X22)
        | hBOOL(hAPP_P1813625415t_bool(X19,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X21),X22))) )
      & ( is_Arr723427730le_alt(esk7_1(X23))
        | hBOOL(hAPP_P1813625415t_bool(X23,X26)) )
      & ( is_Arr723427730le_alt(esk8_1(X23))
        | hBOOL(hAPP_P1813625415t_bool(X23,X26)) )
      & ( ~ hBOOL(hAPP_P1813625415t_bool(X23,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk7_1(X23)),esk8_1(X23))))
        | hBOOL(hAPP_P1813625415t_bool(X23,X26)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1033])])])])])]) ).

fof(c_0_1913,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),hAPP_nat_nat(suc,X201)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1034])]) ).

fof(c_0_1914,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X201)),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X203)),hAPP_nat_nat(suc,X204))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1035])])])]) ).

fof(c_0_1915,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X201)),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X203)),hAPP_nat_nat(suc,X204))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1036])])])]) ).

fof(c_0_1916,plain,
    ! [X208,X209] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X209)))),
    inference(variable_rename,[status(thm)],[c_0_1037]) ).

fof(c_0_1917,plain,
    ! [X208,X209] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X208)))),
    inference(variable_rename,[status(thm)],[c_0_1038]) ).

fof(c_0_1918,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),X211))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X209))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X210)),X209)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1039])]) ).

fof(c_0_1919,plain,
    ! [X214,X215] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),esk93_2(X214,X215)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X214)),X215)) )
      & ( X215 = hAPP_nat_nat(suc,esk93_2(X214,X215))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X214)),X215)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1040])])])]) ).

fof(c_0_1920,plain,
    ! [X201,X202,X203,X204] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X202)),X201)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X204)),X203))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1041])])])]) ).

fof(c_0_1921,plain,
    ! [X214,X215,X217,X218,X219] :
      ( ( X214 = hAPP_nat_nat(suc,esk87_2(X214,X215))
        | X214 = zero_zero_nat
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),hAPP_nat_nat(suc,X215))) )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk87_2(X214,X215)),X215))
        | X214 = zero_zero_nat
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),hAPP_nat_nat(suc,X215))) )
      & ( X217 != zero_zero_nat
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X217),hAPP_nat_nat(suc,X218))) )
      & ( X217 != hAPP_nat_nat(suc,X219)
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X219),X218))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X217),hAPP_nat_nat(suc,X218))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1042])])])])])]) ).

fof(c_0_1922,plain,
    ! [X75,X76,X77,X78] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ is_Arr859726945e_indi(X76)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
      | hAPP_A1895296483di_nat(X77,X75) != hAPP_A1895296483di_nat(X77,X76)
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X75),X78))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X76),X78))
      | X75 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1043])])])]) ).

fof(c_0_1923,plain,
    ! [X75,X76,X77,X78] :
      ( ( hAPP_A1895296483di_nat(X77,X76) != hAPP_A1895296483di_nat(X77,X75)
        | X76 = X75
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X75),X78))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X76),X78))
        | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
        | ~ is_Arr859726945e_indi(X75)
        | ~ is_Arr859726945e_indi(X76) )
      & ( X76 != X75
        | hAPP_A1895296483di_nat(X77,X76) = hAPP_A1895296483di_nat(X77,X75)
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X75),X78))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X76),X78))
        | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
        | ~ is_Arr859726945e_indi(X75)
        | ~ is_Arr859726945e_indi(X76) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1044])])])])]) ).

fof(c_0_1924,plain,
    ! [X75,X76,X77,X78] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ is_Arr859726945e_indi(X76)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
      | X75 = X76
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X75),X78))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X76),X78))
      | hAPP_A1895296483di_nat(X77,X75) != hAPP_A1895296483di_nat(X77,X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1045])])])]) ).

fof(c_0_1925,plain,
    ! [X75,X76,X77,X78,X79,X80] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X75),X76))
        | ~ is_Arr859726945e_indi(X77)
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X76))
        | ~ is_Arr859726945e_indi(X78)
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X78),X76))
        | hAPP_A1895296483di_nat(X75,X77) != hAPP_A1895296483di_nat(X75,X78)
        | X77 = X78 )
      & ( is_Arr859726945e_indi(esk31_2(X79,X80))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk31_2(X79,X80)),X80))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) )
      & ( is_Arr859726945e_indi(esk32_2(X79,X80))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk32_2(X79,X80)),X80))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) )
      & ( hAPP_A1895296483di_nat(X79,esk31_2(X79,X80)) = hAPP_A1895296483di_nat(X79,esk32_2(X79,X80))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) )
      & ( esk31_2(X79,X80) != esk32_2(X79,X80)
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X79),X80)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1046])])])])])]) ).

fof(c_0_1926,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X77,X78)),X78))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X77,X78)),X77))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1047])])])]) ).

fof(c_0_1927,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X77,X78)),X78))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X77,X78)),X77))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1048])])])]) ).

fof(c_0_1928,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X77,X78)),X78))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X77,X78)),X77))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1049])])])]) ).

fof(c_0_1929,plain,
    ! [X77,X78] :
      ( ( is_fun20916972t_bool(esk51_2(X77,X78))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X77)) )
      & ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X77,X78)),X78))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X77,X78)),X77))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1050])])])]) ).

fof(c_0_1930,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X77,X78)),X78))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X77,X78)),X77))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1051])])])]) ).

fof(c_0_1931,plain,
    ! [X77,X78] :
      ( ( is_Arr859726945e_indi(esk49_2(X77,X78))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X77)) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X77,X78)),X78))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X77,X78)),X77))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1052])])])]) ).

fof(c_0_1932,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X77,X78)),X78))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X77,X78)),X77))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1053])])])]) ).

fof(c_0_1933,plain,
    ! [X77,X78] :
      ( ( is_bool(esk47_2(X77,X78))
        | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X77)) )
      & ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X77,X78)),X78))
        | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X77)) )
      & ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X77,X78)),X77))
        | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X77)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1054])])])]) ).

fof(c_0_1934,plain,
    ! [X79,X80] :
      ( ( hBOOL(hAPP_nat_bool(X80,esk97_2(X79,X80)))
        | hBOOL(hAPP_nat_bool(X80,X79))
        | ~ hBOOL(hAPP_nat_bool(X80,zero_zero_nat)) )
      & ( ~ hBOOL(hAPP_nat_bool(X80,hAPP_nat_nat(suc,esk97_2(X79,X80))))
        | hBOOL(hAPP_nat_bool(X80,X79))
        | ~ hBOOL(hAPP_nat_bool(X80,zero_zero_nat)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1055])])])]) ).

fof(c_0_1935,plain,
    ! [X75,X76,X77,X78] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78))
      | hAPP_nat_nat(X77,X75) != hAPP_nat_nat(X77,X76)
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X75),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X76),X78))
      | X75 = X76 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1056])]) ).

fof(c_0_1936,plain,
    ! [X75,X76,X77,X78] :
      ( ( hAPP_nat_nat(X77,X76) != hAPP_nat_nat(X77,X75)
        | X76 = X75
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X75),X78))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X76),X78))
        | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78)) )
      & ( X76 != X75
        | hAPP_nat_nat(X77,X76) = hAPP_nat_nat(X77,X75)
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X75),X78))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X76),X78))
        | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1057])])]) ).

fof(c_0_1937,plain,
    ! [X75,X76,X77,X78] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78))
      | X75 = X76
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X75),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X76),X78))
      | hAPP_nat_nat(X77,X75) != hAPP_nat_nat(X77,X76) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1058])]) ).

fof(c_0_1938,plain,
    ! [X75,X76,X77,X78,X79,X80] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X75),X76))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X76))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X78),X76))
        | hAPP_nat_nat(X75,X77) != hAPP_nat_nat(X75,X78)
        | X77 = X78 )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk29_2(X79,X80)),X80))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X79),X80)) )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk30_2(X79,X80)),X80))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X79),X80)) )
      & ( hAPP_nat_nat(X79,esk29_2(X79,X80)) = hAPP_nat_nat(X79,esk30_2(X79,X80))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X79),X80)) )
      & ( esk29_2(X79,X80) != esk30_2(X79,X80)
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X79),X80)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1059])])])])])]) ).

fof(c_0_1939,plain,
    ! [X151,X152,X153] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X152),X153))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X153,X151)),pi_fun1555365306t_bool(X152,X151))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1060])]) ).

fof(c_0_1940,plain,
    ! [X151,X152,X153] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X152),X153))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X153,X151)),pi_Arr1801471756t_bool(X152,X151))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1061])]) ).

fof(c_0_1941,plain,
    ! [X151,X152,X153] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X152),X153))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X153,X151)),pi_Pro1873779901t_bool(X152,X151))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1062])]) ).

fof(c_0_1942,plain,
    ! [X82,X83,X84] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X83),X84))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X83,X82)),hAPP_nat_bool(X84,X82))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1063])]) ).

fof(c_0_1943,plain,
    ! [X82,X83,X84] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X83),X84))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X83,X82)),hAPP_nat_bool(X84,X82))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1064])]) ).

fof(c_0_1944,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X201)),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X203)),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1065])])])]) ).

fof(c_0_1945,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X201)),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X203)),X204)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1066])])])]) ).

fof(c_0_1946,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1067])]) ).

fof(c_0_1947,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1068])]) ).

fof(c_0_1948,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1069])]) ).

fof(c_0_1949,plain,
    ! [X206,X207,X208] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X206))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1070])]) ).

fof(c_0_1950,plain,
    ! [X206,X207,X208] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X208))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1071])]) ).

fof(c_0_1951,plain,
    ! [X206,X207,X208] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X208))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1072])]) ).

fof(c_0_1952,plain,
    ! [X206,X207,X208] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X206))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1073])]) ).

fof(c_0_1953,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X211))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1074])]) ).

fof(c_0_1954,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),X209))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1075])]) ).

fof(c_0_1955,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X211))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1076])]) ).

fof(c_0_1956,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),X211))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X210),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),X209))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1077])]) ).

fof(c_0_1957,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),hAPP_nat_nat(suc,X201))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1078])]) ).

fof(c_0_1958,plain,
    ! [X212,X213,X215] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk83_2(X212,X213)),X212))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X215),esk83_2(X212,X213)))
        | ~ hBOOL(hAPP_nat_bool(X213,X215))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) )
      & ( hBOOL(hAPP_nat_bool(X213,esk83_2(X212,X213)))
        | ~ hBOOL(hAPP_nat_bool(X213,X212))
        | hBOOL(hAPP_nat_bool(X213,zero_zero_nat)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1079])])])])]) ).

fof(c_0_1959,plain,
    ( is_fun20916972t_bool(esk19_0)
    & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),esk19_0))
    & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk19_0),arrow_912654623le_Lin)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1080])])]) ).

fof(c_0_1960,plain,
    ( is_fun20916972t_bool(esk18_0)
    & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),esk18_0))
    & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk18_0),arrow_912654623le_Lin)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1081])])]) ).

fof(c_0_1961,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    c_0_1082 ).

fof(c_0_1962,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    c_0_1083 ).

fof(c_0_1963,plain,
    ! [X209,X210,X211] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),X211))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X209))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X210),X209)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1084])]) ).

fof(c_0_1964,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X197),X198))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X198),X196))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1085])]) ).

fof(c_0_1965,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X197),X198))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X198),X196))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1086])]) ).

fof(c_0_1966,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X197),X198))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X198),X196))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1087])]) ).

fof(c_0_1967,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X78),X79))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X78))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1088])]) ).

fof(c_0_1968,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X78),X79))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X78))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1089])]) ).

fof(c_0_1969,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X78),X79))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X78))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1090])]) ).

fof(c_0_1970,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X78),X79))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X78))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1091])]) ).

fof(c_0_1971,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X78))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1092])]) ).

fof(c_0_1972,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X78))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1093])]) ).

fof(c_0_1973,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X78),X79))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X78))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1094])]) ).

fof(c_0_1974,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X78),X79))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X78))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1095])]) ).

fof(c_0_1975,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X78),X79))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X78))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1096])]) ).

fof(c_0_1976,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X78),X79))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X78))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1097])]) ).

fof(c_0_1977,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X78),X79))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X78))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1098])]) ).

fof(c_0_1978,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X79))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X78))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1099])]) ).

fof(c_0_1979,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X78))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1100])]) ).

fof(c_0_1980,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X78))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1101])]) ).

fof(c_0_1981,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X78),X79))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X78))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1102])]) ).

fof(c_0_1982,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X79))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X78))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1103])]) ).

fof(c_0_1983,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X78),X79))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X79),X77))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1104])]) ).

fof(c_0_1984,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),X79))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X79),X77))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1105])]) ).

fof(c_0_1985,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X78),X79))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X79),X77))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1106])]) ).

fof(c_0_1986,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X78),X79))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X79),X77))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1107])]) ).

fof(c_0_1987,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X79),X77))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1108])]) ).

fof(c_0_1988,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X79),X77))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1109])]) ).

fof(c_0_1989,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X78),X79))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X79),X77))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1110])]) ).

fof(c_0_1990,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X78),X79))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X79),X77))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1111])]) ).

fof(c_0_1991,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X78),X79))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X78))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1112])]) ).

fof(c_0_1992,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X78),X79))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X78))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1113])]) ).

fof(c_0_1993,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X78),X79))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X78))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1114])]) ).

fof(c_0_1994,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X79))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X78))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1115])]) ).

fof(c_0_1995,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X78))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1116])]) ).

fof(c_0_1996,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X78))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1117])]) ).

fof(c_0_1997,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X78),X79))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X78))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1118])]) ).

fof(c_0_1998,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X79))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X78))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1119])]) ).

fof(c_0_1999,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X197),X198))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X198),X196))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1120])]) ).

fof(c_0_2000,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X197),X198))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X198),X196))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1121])]) ).

fof(c_0_2001,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X197),X198))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X198),X196))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1122])]) ).

fof(c_0_2002,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X197),X198))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X198),X196))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1123])]) ).

fof(c_0_2003,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X197),X198))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X198),X196))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1124])]) ).

fof(c_0_2004,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X197),X198))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X198),X196))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1125])]) ).

fof(c_0_2005,plain,
    ! [X196,X197,X198] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X197),X198))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X198),X196))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X197),X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1126])]) ).

fof(c_0_2006,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X78),X79))
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X78))
      | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1127])]) ).

fof(c_0_2007,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X78),X79))
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X78))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1128])]) ).

fof(c_0_2008,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X78),X79))
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X78))
      | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1129])]) ).

fof(c_0_2009,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X78),X79))
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X78))
      | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1130])]) ).

fof(c_0_2010,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X78))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1131])]) ).

fof(c_0_2011,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X78))
      | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1132])]) ).

fof(c_0_2012,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X78),X79))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X78))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1133])]) ).

fof(c_0_2013,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X78),X79))
      | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X78))
      | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X77),X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1134])]) ).

fof(c_0_2014,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X9))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1135])]) ).

fof(c_0_2015,plain,
    ! [X140,X141,X142] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X141),X142))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X140),X141))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X140),X142)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1136])]) ).

fof(c_0_2016,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X9))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1137])]) ).

fof(c_0_2017,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X9))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1138])]) ).

fof(c_0_2018,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X9))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1139])]) ).

fof(c_0_2019,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X10),X8))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1140])]) ).

fof(c_0_2020,plain,
    ! [X137,X138,X139] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X138),X139))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X139),X137))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X138),X137)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1141])]) ).

fof(c_0_2021,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X10),X8))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1142])]) ).

fof(c_0_2022,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X10),X8))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1143])]) ).

fof(c_0_2023,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X10),X8))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1144])]) ).

fof(c_0_2024,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1145])]) ).

fof(c_0_2025,plain,
    ! [X134,X135,X136] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X135),X136))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X134),X135))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X134),X136)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1146])]) ).

fof(c_0_2026,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X8),X9))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1147])]) ).

fof(c_0_2027,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X8),X9))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1148])]) ).

fof(c_0_2028,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1149])]) ).

fof(c_0_2029,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X10),X8))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1150])]) ).

fof(c_0_2030,plain,
    ! [X131,X132,X133] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X132),X133))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X133),X131))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X132),X131)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1151])]) ).

fof(c_0_2031,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X10),X8))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1152])]) ).

fof(c_0_2032,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X10),X8))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1153])]) ).

fof(c_0_2033,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X10),X8))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1154])]) ).

fof(c_0_2034,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X10),X8))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1155])]) ).

fof(c_0_2035,plain,
    ! [X90,X91,X92] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X91),X92))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X92),X90))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X91),X90)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1156])]) ).

fof(c_0_2036,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X10),X8))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1157])]) ).

fof(c_0_2037,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1158])]) ).

fof(c_0_2038,plain,
    ! [X85,X86,X87] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X86),X87))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X85),X86))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X85),X87)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1159])]) ).

fof(c_0_2039,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X10))
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1160])]) ).

fof(c_0_2040,plain,
    ! [X40,X41,X42] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X42))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X42),X40))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X40)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1161])]) ).

fof(c_0_2041,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X10),X8))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1162])]) ).

fof(c_0_2042,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X10),X8))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1163])]) ).

fof(c_0_2043,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X10),X8))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1164])]) ).

fof(c_0_2044,plain,
    ! [X37,X38,X39] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X39))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X37),X38))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X37),X39)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1165])]) ).

fof(c_0_2045,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X9),X10))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X9))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1166])]) ).

fof(c_0_2046,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X9),X10))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X9))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1167])]) ).

fof(c_0_2047,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X9),X10))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X9))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1168])]) ).

fof(c_0_2048,plain,
    ! [X201,X202] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),hAPP_nat_nat(suc,X201)))
        | X202 = X201
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) )
      & ( X202 != X201
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),hAPP_nat_nat(suc,X201)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1169])])]) ).

fof(c_0_2049,plain,
    ! [X211,X212,X213,X214] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X213),X214))
      | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),X214) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X213),X212)
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X212)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1170])]) ).

fof(c_0_2050,plain,
    ! [X201,X202,X203,X204] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),hAPP_nat_nat(suc,X201))) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X204),hAPP_nat_nat(suc,X203)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1171])])])]) ).

fof(c_0_2051,plain,
    ! [X210,X211] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk81_2(X210,X211)),X211))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X211)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk81_2(X210,X211)),X210))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X211)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1172])])])]) ).

fof(c_0_2052,plain,
    ! [X210,X212,X213,X214] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X210))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X212),X210))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X212),esk78_1(X210))) )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk79_2(X213,X214)),X213))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X213)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk79_2(X213,X214)),X214))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X213)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1173])])])])])]) ).

fof(c_0_2053,plain,
    ! [X210,X212,X213,X214] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X210))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X212),X210))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X212),esk76_1(X210))) )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_2(X213,X214)),X213))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X213)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk77_2(X213,X214)),X214))
        | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X213)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1174])])])])])]) ).

fof(c_0_2054,plain,
    ! [X210,X211] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X210)),X211)),
    inference(variable_rename,[status(thm)],[c_0_1175]) ).

fof(c_0_2055,plain,
    ! [X223,X224] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X223)),X224))
      | X224 = hAPP_nat_nat(suc,esk91_2(X223,X224)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1176])])]) ).

fof(c_0_2056,plain,
    ! [X207] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X207)))),
    inference(variable_rename,[status(thm)],[c_0_1177]) ).

fof(c_0_2057,plain,
    ! [X207] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X207)))),
    inference(variable_rename,[status(thm)],[c_0_1178]) ).

fof(c_0_2058,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | hAPP_nat_nat(suc,X200) = X201
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1179])]) ).

fof(c_0_2059,plain,
    ! [X200,X201,X202] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),X202) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202)),
    inference(variable_rename,[status(thm)],[c_0_1180]) ).

fof(c_0_2060,plain,
    ! [X163,X164,X165] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X164)),X165) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X164),X165)),
    inference(variable_rename,[status(thm)],[c_0_1181]) ).

fof(c_0_2061,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1182])]) ).

fof(c_0_2062,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(suc,X201)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | X200 = hAPP_nat_nat(suc,X201) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1183])]) ).

fof(c_0_2063,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
        | X201 = hAPP_nat_nat(suc,X202) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),hAPP_nat_nat(suc,X204))) )
      & ( X203 != hAPP_nat_nat(suc,X204)
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),hAPP_nat_nat(suc,X204))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1184])])])])]) ).

fof(c_0_2064,plain,
    ! [X7] :
      ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X7),arrow_912654623le_Lin))
      | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X7)),arrow_583275979e_Prof)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1185])]) ).

fof(c_0_2065,plain,
    ! [X82,X83,X84,X85] :
      ( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X82),X83))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X83),X82))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X84),X85))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X85),X84))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X84),X85)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1186])])])])]) ).

fof(c_0_2066,plain,
    ! [X82,X83,X84,X85] :
      ( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X82),X83))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X83),X82))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X84),X85))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X85),X84))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X84),X85)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1187])])])])]) ).

fof(c_0_2067,plain,
    ! [X82,X83,X84,X85] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X82),X83))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X83),X82))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X82),X83)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X84),X85))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X85),X84))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X84),X85)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1188])])])])]) ).

fof(c_0_2068,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X6))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X9),X8))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1189])])])])]) ).

fof(c_0_2069,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X8))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1190])])])])]) ).

fof(c_0_2070,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X8))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1191])])])])]) ).

fof(c_0_2071,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X7),X6))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X8),X9))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X9),X8))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1192])])])])]) ).

fof(c_0_2072,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X7),X6))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X8),X9))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X9),X8))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1193])])])])]) ).

fof(c_0_2073,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X201)))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | X200 = X201 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1194])]) ).

fof(c_0_2074,plain,
    ! [X200,X201] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X201)))
      | X201 = X200 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1195])]) ).

fof(c_0_2075,plain,
    ! [X201,X202] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(suc,X202)))
        | X201 = X202
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) )
      & ( X201 != X202
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1196])])]) ).

fof(c_0_2076,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
        | X201 = X202 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),hAPP_nat_nat(suc,X204))) )
      & ( X203 != X204
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),hAPP_nat_nat(suc,X204))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1197])])])])]) ).

fof(c_0_2077,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(suc,X202)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),hAPP_nat_nat(suc,X204))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1198])])])]) ).

fof(c_0_2078,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X200)),
    inference(variable_rename,[status(thm)],[c_0_1199]) ).

fof(c_0_2079,plain,
    ! [X76,X77,X78,X79,X80] :
      ( ( ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X76),X77))
        | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X78),arrow_583275979e_Prof))
        | hAPP_f1817389232t_bool(X76,X78) = hAPP_A340536322t_bool(X78,X77) )
      & ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk33_2(X79,X80)),arrow_583275979e_Prof))
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X79),X80)) )
      & ( hAPP_f1817389232t_bool(X79,esk33_2(X79,X80)) != hAPP_A340536322t_bool(esk33_2(X79,X80),X80)
        | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X79),X80)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1200])])])])])]) ).

fof(c_0_2080,plain,
    ! [X214,X215] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),esk92_2(X214,X215)))
        | X215 = hAPP_nat_nat(suc,X214)
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),X215)) )
      & ( X215 = hAPP_nat_nat(suc,esk92_2(X214,X215))
        | X215 = hAPP_nat_nat(suc,X214)
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X214),X215)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1201])])])]) ).

fof(c_0_2081,plain,
    ! [X75,X76,X77] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X76),X77))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X75),X77))
      | hAPP_n619554777e_indi(hilber951314860di_nat(X77,X76),hAPP_A1895296483di_nat(X76,X75)) = X75 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1202])])])]) ).

fof(c_0_2082,plain,
    ! [X75,X76,X77,X78] :
      ( ~ is_Arr859726945e_indi(X76)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),X78))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X76),X78))
      | hAPP_A1895296483di_nat(X77,X76) != X75
      | hAPP_n619554777e_indi(hilber951314860di_nat(X78,X77),X75) = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1203])])])]) ).

fof(c_0_2083,plain,
    ! [X212,X213] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X212),X213))
      | X213 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X212),esk89_2(X212,X213))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1204])])]) ).

fof(c_0_2084,plain,
    ! [X212,X213,X215,X216,X217] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X212),X213))
        | X213 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X212),esk85_2(X212,X213))) )
      & ( X216 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X215),X217))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X215),X216)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1205])])])])]) ).

fof(c_0_2085,plain,
    ! [X75,X76,X77] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X76),X77))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X75),X77))
      | hAPP_nat_nat(hilber195283148at_nat(X77,X76),hAPP_nat_nat(X76,X75)) = X75 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1206])]) ).

fof(c_0_2086,plain,
    ! [X75,X76,X77,X78] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X76),X78))
      | hAPP_nat_nat(X77,X76) != X75
      | hAPP_nat_nat(hilber195283148at_nat(X78,X77),X75) = X76 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1207])]) ).

fof(c_0_2087,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(X7)
        | ~ hBOOL(X6) )
      & ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7))
        | ~ hBOOL(X7)
        | ~ hBOOL(X6) )
      & ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | hBOOL(X7)
        | hBOOL(X6) )
      & ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7))
        | hBOOL(X7)
        | hBOOL(X6) )
      & ( ~ hBOOL(X9)
        | hBOOL(X8)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X8))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9)) )
      & ( ~ hBOOL(X8)
        | hBOOL(X9)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X9),X8))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1208])])])])]) ).

fof(c_0_2088,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(X7)
        | hBOOL(X6)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X6)
        | hBOOL(X7)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X7)
        | ~ hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( hBOOL(X7)
        | hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1209])])]) ).

fof(c_0_2089,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(X6)
        | hBOOL(X7)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X7)
        | hBOOL(X6)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1210])])]) ).

fof(c_0_2090,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(X7)
        | hBOOL(X6)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X6)
        | hBOOL(X7)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1211])])]) ).

fof(c_0_2091,plain,
    ! [X82,X83] :
      ( ~ is_fun1084921220e_indi(X82)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X83),top_to207207712i_bool))
      | hAPP_A1895296483di_nat(X83,hAPP_n619554777e_indi(X82,esk38_2(X82,X83))) != esk38_2(X82,X83)
      | hilber951314860di_nat(top_to207207712i_bool,X83) = X82 ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1212])])])])]) ).

fof(c_0_2092,plain,
    ! [X10,X11,X12] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X12))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X11))
      | hBOOL(X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1213])]) ).

fof(c_0_2093,plain,
    ! [X10,X11,X12] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X11),X12))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X11))
      | hBOOL(X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1214])]) ).

fof(c_0_2094,plain,
    ! [X10,X11,X12] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X11),X12))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X11))
      | hBOOL(X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1215])]) ).

fof(c_0_2095,plain,
    ! [X10,X11,X12] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X11),X12))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X11))
      | hBOOL(X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1216])]) ).

fof(c_0_2096,plain,
    ! [X6,X7] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | X6 = X7
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7)) )
      & ( X6 != X7
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1217])])]) ).

fof(c_0_2097,plain,
    ! [X82,X83] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X83),top_top_fun_nat_bool))
      | hAPP_nat_nat(X83,hAPP_nat_nat(X82,esk37_2(X82,X83))) != esk37_2(X82,X83)
      | hilber195283148at_nat(top_top_fun_nat_bool,X83) = X82 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1218])])]) ).

fof(c_0_2098,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X200))
      | X200 = X201 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1219])]) ).

fof(c_0_2099,plain,
    ! [X77,X78,X79,X80] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78))
        | X77 != X78 )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77))
        | X77 != X78 )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X79),X80))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X80),X79))
        | X79 = X80 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1220])])])])]) ).

fof(c_0_2100,plain,
    ! [X77,X78] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77))
      | X77 = X78 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1221])]) ).

fof(c_0_2101,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
        | X6 != X7 )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
        | X6 != X7 )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X8))
        | X8 = X9 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1222])])])])]) ).

fof(c_0_2102,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | X6 != X7 )
      & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X6))
        | X6 != X7 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X9),X8))
        | X8 = X9 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1223])])])])]) ).

fof(c_0_2103,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
        | X7 = X6
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7)) )
      & ( X7 != X6
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1224])])]) ).

fof(c_0_2104,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X6))
        | X7 = X6
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7)) )
      & ( X7 != X6
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X6))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1225])])]) ).

fof(c_0_2105,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1226])]) ).

fof(c_0_2106,plain,
    ! [X92,X93] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X92),X93))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X93),X92))
      | X92 = X93 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1227])]) ).

fof(c_0_2107,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X6))
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1228])]) ).

fof(c_0_2108,plain,
    ! [X87,X88] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X87),X88))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X87))
      | X88 = X87 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1229])]) ).

fof(c_0_2109,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X201))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1230])]) ).

fof(c_0_2110,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X201))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1231])]) ).

fof(c_0_2111,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(suc,X201))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1232])]) ).

fof(c_0_2112,plain,
    ! [X212,X213] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk84_2(X212,X213)))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X212),X213)) )
      & ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X212),esk84_2(X212,X213)) = X213
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X212),X213)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1233])])])]) ).

fof(c_0_2113,plain,
    ! [X120,X121] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X120),X121))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X121),X120)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1234])]) ).

fof(c_0_2114,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X6)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X9),X8))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1235])])])]) ).

fof(c_0_2115,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X6)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X9),X8))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1236])])])]) ).

fof(c_0_2116,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X6))
        | X6 = X7 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X9),X8))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9)) )
      & ( X8 != X9
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1237])])])])]) ).

fof(c_0_2117,plain,
    ! [X64,X65] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X65))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X64)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1238])]) ).

fof(c_0_2118,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1239])]) ).

fof(c_0_2119,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1240])]) ).

fof(c_0_2120,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1241])]) ).

fof(c_0_2121,plain,
    ! [X62,X63] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X63))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1242])]) ).

fof(c_0_2122,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1243])]) ).

fof(c_0_2123,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1244])]) ).

fof(c_0_2124,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1245])]) ).

fof(c_0_2125,plain,
    ! [X56,X57] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X57))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X56)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1246])]) ).

fof(c_0_2126,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X14),X15))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1247])]) ).

fof(c_0_2127,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X14),X15))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1248])]) ).

fof(c_0_2128,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),X15))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1249])]) ).

fof(c_0_2129,plain,
    ! [X54,X55] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X55))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X54)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1250])]) ).

fof(c_0_2130,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X14),X15))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1251])]) ).

fof(c_0_2131,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X14),X15))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1252])]) ).

fof(c_0_2132,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),X15))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1253])]) ).

fof(c_0_2133,plain,
    ! [X34,X35] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X35))
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X34)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1254])]) ).

fof(c_0_2134,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1255])]) ).

fof(c_0_2135,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1256])]) ).

fof(c_0_2136,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1257])]) ).

fof(c_0_2137,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X78),X79))
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X79))
      | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1258])]) ).

fof(c_0_2138,plain,
    ! [X77,X78,X79] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X78),X79))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X79))
      | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1259])]) ).

fof(c_0_2139,plain,
    ! [X150,X151] :
      ( ( is_Arr859726945e_indi(esk72_2(X150,X151))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) )
      & ( is_Arr859726945e_indi(esk73_2(X150,X151))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk72_2(X150,X151)),X151))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) )
      & ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk73_2(X150,X151)),X151))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) )
      & ( hAPP_A1895296483di_nat(X150,esk72_2(X150,X151)) = hAPP_A1895296483di_nat(X150,esk73_2(X150,X151))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) )
      & ( esk72_2(X150,X151) != esk73_2(X150,X151)
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),X151)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1260])])])]) ).

fof(c_0_2140,plain,
    ! [X150,X151] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk70_2(X150,X151)),X151))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),X151)) )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk71_2(X150,X151)),X151))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),X151)) )
      & ( hAPP_nat_nat(X150,esk70_2(X150,X151)) = hAPP_nat_nat(X150,esk71_2(X150,X151))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),X151)) )
      & ( esk70_2(X150,X151) != esk71_2(X150,X151)
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),X151)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1261])])])])]) ).

fof(c_0_2141,plain,
    ! [X200,X201] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201))),
    inference(variable_rename,[status(thm)],[c_0_1262]) ).

fof(c_0_2142,plain,
    ! [X200,X201] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X200))),
    inference(variable_rename,[status(thm)],[c_0_1263]) ).

fof(c_0_2143,plain,
    ! [X206,X207,X208] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X208)),
    inference(variable_rename,[status(thm)],[c_0_1264]) ).

fof(c_0_2144,plain,
    ! [X141] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X141),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X141),one_one_nat))),
    inference(variable_rename,[status(thm)],[c_0_1265]) ).

fof(c_0_2145,plain,
    ! [X77,X78] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
        | X77 = X78
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78))
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) )
      & ( X77 != X78
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78))
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1266])])]) ).

fof(c_0_2146,plain,
    ! [X77,X78] :
      ( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
        | X77 = X78
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78))
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) )
      & ( X77 != X78
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78))
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1267])])]) ).

fof(c_0_2147,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) )
      & ( X77 != X78
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78))
        | X77 = X78
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
        | ~ is_fun2015243113i_bool(X77)
        | ~ is_fun2015243113i_bool(X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1268])])]) ).

fof(c_0_2148,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) )
      & ( X77 != X78
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78))
        | X77 = X78
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
        | ~ is_fun1568535512t_bool(X77)
        | ~ is_fun1568535512t_bool(X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1269])])]) ).

fof(c_0_2149,plain,
    ! [X14,X15] :
      ( ~ is_fun2015243113i_bool(X14)
      | ~ is_fun2015243113i_bool(X15)
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X14),X15))
      | X15 = X14
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1270])]) ).

fof(c_0_2150,plain,
    ! [X14,X15] :
      ( ~ is_fun1568535512t_bool(X14)
      | ~ is_fun1568535512t_bool(X15)
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X14),X15))
      | X15 = X14
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1271])]) ).

fof(c_0_2151,plain,
    ! [X14,X15] :
      ( ~ is_fun2015243113i_bool(X14)
      | ~ is_fun2015243113i_bool(X15)
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X14),X15))
      | X14 = X15
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1272])]) ).

fof(c_0_2152,plain,
    ! [X14,X15] :
      ( ~ is_fun1568535512t_bool(X14)
      | ~ is_fun1568535512t_bool(X15)
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X14),X15))
      | X14 = X15
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1273])]) ).

fof(c_0_2153,plain,
    ! [X6,X7] :
      ( ~ is_fun2015243113i_bool(X6)
      | ~ is_fun2015243113i_bool(X7)
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1274])]) ).

fof(c_0_2154,plain,
    ! [X6,X7] :
      ( ~ is_fun1568535512t_bool(X6)
      | ~ is_fun1568535512t_bool(X7)
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1275])]) ).

fof(c_0_2155,plain,
    ! [X14,X15] :
      ( ~ is_fun2015243113i_bool(X14)
      | ~ is_fun2015243113i_bool(X15)
      | X14 = X15
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X15),X14))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1276])]) ).

fof(c_0_2156,plain,
    ! [X14,X15] :
      ( ~ is_fun1568535512t_bool(X14)
      | ~ is_fun1568535512t_bool(X15)
      | X14 = X15
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X15),X14))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1277])]) ).

fof(c_0_2157,plain,
    ! [X14,X15] :
      ( ~ is_fun2015243113i_bool(X14)
      | ~ is_fun2015243113i_bool(X15)
      | X14 = X15
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X14),X15))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1278])]) ).

fof(c_0_2158,plain,
    ! [X14,X15] :
      ( ~ is_fun1568535512t_bool(X14)
      | ~ is_fun1568535512t_bool(X15)
      | X14 = X15
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X14),X15))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1279])]) ).

fof(c_0_2159,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
        | X6 = X7
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) )
      & ( X6 != X7
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1280])])]) ).

fof(c_0_2160,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
        | X6 = X7
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) )
      & ( X6 != X7
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1281])])]) ).

fof(c_0_2161,plain,
    ! [X6,X7] :
      ( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) )
      & ( X6 != X7
        | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7))
        | X6 = X7
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
        | ~ is_fun2015243113i_bool(X6)
        | ~ is_fun2015243113i_bool(X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1282])])]) ).

fof(c_0_2162,plain,
    ! [X6,X7] :
      ( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) )
      & ( X6 != X7
        | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7))
        | X6 = X7
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
        | ~ is_fun1568535512t_bool(X6)
        | ~ is_fun1568535512t_bool(X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1283])])]) ).

fof(c_0_2163,plain,
    ! [X16,X17,X18] :
      ( ( ~ hBOOL(X18)
        | ~ hBOOL(X17)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X16))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X18),X16)) )
      & ( hBOOL(X18)
        | hBOOL(X17)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X16))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X18),X16)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1284])])]) ).

fof(c_0_2164,plain,
    ! [X16,X17,X18] :
      ( ( ~ hBOOL(X18)
        | ~ hBOOL(X17)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X17))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X18)) )
      & ( hBOOL(X18)
        | hBOOL(X17)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X17))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X18)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1285])])]) ).

fof(c_0_2165,plain,
    ! [X16,X17,X18] :
      ( ( ~ hBOOL(X18)
        | ~ hBOOL(X16)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X16))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X18)) )
      & ( hBOOL(X18)
        | hBOOL(X16)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X16))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X18)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1286])])]) ).

fof(c_0_2166,plain,
    ! [X16,X17,X18] :
      ( ( ~ hBOOL(X17)
        | ~ hBOOL(X16)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X18))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X18)) )
      & ( hBOOL(X17)
        | hBOOL(X16)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X16),X18))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X17),X18)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1287])])]) ).

fof(c_0_2167,plain,
    ! [X14,X15] :
      ( ( ~ hBOOL(X15)
        | hBOOL(X14)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15)) )
      & ( ~ hBOOL(X14)
        | hBOOL(X15)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1288])])]) ).

fof(c_0_2168,plain,
    ! [X14,X15] :
      ( ( ~ hBOOL(X14)
        | hBOOL(X15)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15)) )
      & ( ~ hBOOL(X15)
        | hBOOL(X14)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1289])])]) ).

fof(c_0_2169,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(X6)
        | hBOOL(X7)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X7)
        | hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1290])])]) ).

fof(c_0_2170,plain,
    ! [X14,X15] :
      ( ( ~ hBOOL(X15)
        | hBOOL(X14)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15)) )
      & ( ~ hBOOL(X14)
        | hBOOL(X15)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X15))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),X15)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1291])])]) ).

fof(c_0_2171,plain,
    ! [X14,X15] :
      ( ( ~ hBOOL(X15)
        | hBOOL(X14)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X14))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X15),X14)) )
      & ( ~ hBOOL(X14)
        | hBOOL(X15)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X14))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X15),X14)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1292])])]) ).

fof(c_0_2172,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ hBOOL(X6)
        | hBOOL(X7)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(X7)
        | hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X9))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9)) )
      & ( ~ hBOOL(X8)
        | ~ hBOOL(X9)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9)) )
      & ( hBOOL(X8)
        | hBOOL(X9)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1293])])])])]) ).

fof(c_0_2173,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7))
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7)) )
      & ( ~ hBOOL(X6)
        | ~ hBOOL(X7)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7)) )
      & ( hBOOL(X6)
        | hBOOL(X7)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7)) )
      & ( ~ hBOOL(X8)
        | hBOOL(X9)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X9)) )
      & ( ~ hBOOL(X9)
        | hBOOL(X8)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X9))
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1294])])])])]) ).

fof(c_0_2174,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X18),X16))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1295])]) ).

fof(c_0_2175,plain,
    ! [X104,X105,X106] :
      ( X105 != X106
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X106),X104))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X105),X104)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1296])]) ).

fof(c_0_2176,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X16),X18))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X16),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1297])]) ).

fof(c_0_2177,plain,
    ! [X101,X102,X103] :
      ( X102 != X103
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X101),X103))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X101),X102)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1298])]) ).

fof(c_0_2178,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X17),X18))
      | X18 != X16
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1299])]) ).

fof(c_0_2179,plain,
    ! [X98,X99,X100] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X99),X100))
      | X100 != X98
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X99),X98)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1300])]) ).

fof(c_0_2180,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X17),X18))
      | X17 != X16
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X16),X18)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1301])]) ).

fof(c_0_2181,plain,
    ! [X95,X96,X97] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X96),X97))
      | X96 != X95
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X95),X97)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1302])]) ).

fof(c_0_2182,plain,
    ! [X6,X7] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X6))
        | X7 = X6
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( X7 != X6
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X6))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1303])])]) ).

fof(c_0_2183,plain,
    ! [X52,X53,X54] :
      ( X53 != X54
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X52))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X52)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1304])]) ).

fof(c_0_2184,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X18),X16))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1305])]) ).

fof(c_0_2185,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X18),X16))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1306])]) ).

fof(c_0_2186,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X18),X16))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1307])]) ).

fof(c_0_2187,plain,
    ! [X49,X50,X51] :
      ( X50 != X51
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X51))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1308])]) ).

fof(c_0_2188,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X16),X18))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X16),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1309])]) ).

fof(c_0_2189,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X16),X18))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X16),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1310])]) ).

fof(c_0_2190,plain,
    ! [X16,X17,X18] :
      ( X17 != X18
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X16),X18))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X16),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1311])]) ).

fof(c_0_2191,plain,
    ! [X46,X47,X48] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X48))
      | X48 != X46
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X46)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1312])]) ).

fof(c_0_2192,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X17),X18))
      | X18 != X16
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1313])]) ).

fof(c_0_2193,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X17),X18))
      | X18 != X16
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1314])]) ).

fof(c_0_2194,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X17),X18))
      | X18 != X16
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X17),X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1315])]) ).

fof(c_0_2195,plain,
    ! [X43,X44,X45] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X45))
      | X44 != X43
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X43),X45)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1316])]) ).

fof(c_0_2196,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X17),X18))
      | X17 != X16
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X16),X18)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1317])]) ).

fof(c_0_2197,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X17),X18))
      | X17 != X16
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X16),X18)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1318])]) ).

fof(c_0_2198,plain,
    ! [X16,X17,X18] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X17),X18))
      | X17 != X16
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X16),X18)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1319])]) ).

fof(c_0_2199,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | X200 = X201
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1320])]) ).

fof(c_0_2200,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
        | X201 = X202 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204)) )
      & ( X203 != X204
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1321])])])])]) ).

fof(c_0_2201,plain,
    ! [X201,X202,X203,X204] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) )
      & ( X201 != X202
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204))
        | X203 = X204
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1322])])])])]) ).

fof(c_0_2202,plain,
    ! [X77,X78,X79,X80] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X77),X78))
        | X77 = X78 )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X79),X80))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X79),X80)) )
      & ( X79 != X80
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X79),X80)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1323])])])])]) ).

fof(c_0_2203,plain,
    ! [X77,X78,X79,X80] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X77),X78)) )
      & ( X77 != X78
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X77),X78)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X79),X80))
        | X79 = X80
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X79),X80)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1324])])])])]) ).

fof(c_0_2204,plain,
    ! [X128,X129] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X128),X129))
      | X129 = X128
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X128),X129)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1325])]) ).

fof(c_0_2205,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X14),X15))
      | X15 = X14
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1326])]) ).

fof(c_0_2206,plain,
    ! [X126,X127] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X126),X127))
      | X126 = X127
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X126),X127)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1327])]) ).

fof(c_0_2207,plain,
    ! [X14,X15] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X14),X15))
      | X14 = X15
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1328])]) ).

fof(c_0_2208,plain,
    ! [X124,X125] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X124),X125))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X124),X125))
      | X124 = X125 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1329])]) ).

fof(c_0_2209,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1330])]) ).

fof(c_0_2210,plain,
    ! [X118,X119] :
      ( X118 = X119
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X119),X118))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X119),X118)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1331])]) ).

fof(c_0_2211,plain,
    ! [X14,X15] :
      ( X14 = X15
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X15),X14))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X15),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1332])]) ).

fof(c_0_2212,plain,
    ! [X116,X117] :
      ( X116 = X117
      | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X116),X117))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X116),X117)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1333])]) ).

fof(c_0_2213,plain,
    ! [X14,X15] :
      ( X14 = X15
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X14),X15))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1334])]) ).

fof(c_0_2214,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | X6 = X7
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( X6 != X7
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1335])])]) ).

fof(c_0_2215,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | X6 = X7 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9)) )
      & ( X8 != X9
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1336])])])])]) ).

fof(c_0_2216,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
        | X6 = X7 )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X9))
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9)) )
      & ( X8 != X9
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1337])])])])]) ).

fof(c_0_2217,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X6),X7))
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( X6 != X7
        | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X8),X9))
        | X8 = X9
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1338])])])])]) ).

fof(c_0_2218,plain,
    ! [X6,X7,X8,X9] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7)) )
      & ( X6 != X7
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X9))
        | X8 = X9
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X8),X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1339])])])])]) ).

fof(c_0_2219,plain,
    ! [X197,X198,X199] :
      ( ~ hBOOL(hAPP_nat_bool(X198,X199))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X198),X197))
      | hBOOL(hAPP_nat_bool(X197,X199)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1340])]) ).

fof(c_0_2220,plain,
    ! [X197,X198,X199] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X198),X199))
      | ~ hBOOL(hAPP_nat_bool(X198,X197))
      | hBOOL(hAPP_nat_bool(X199,X197)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1341])]) ).

fof(c_0_2221,plain,
    ! [X203,X204] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),X204)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1342])]) ).

fof(c_0_2222,plain,
    ! [X200,X201] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201)) )
      & ( X200 != X201
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1343])])]) ).

fof(c_0_2223,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1344])]) ).

fof(c_0_2224,plain,
    ! [X77,X78] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X77),X78))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X77),X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1345])]) ).

fof(c_0_2225,plain,
    ! [X77,X78] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X77),X78))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X77),X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1346])]) ).

fof(c_0_2226,plain,
    ! [X77,X78] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X77),X78))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1347])]) ).

fof(c_0_2227,plain,
    ! [X122,X123] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X122),X123))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X122),X123)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1348])]) ).

fof(c_0_2228,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1349])]) ).

fof(c_0_2229,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X6),X7))
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1350])]) ).

fof(c_0_2230,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X6),X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1351])]) ).

fof(c_0_2231,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X6),X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1352])]) ).

fof(c_0_2232,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    c_0_1353 ).

fof(c_0_2233,plain,
    ! [X212,X213,X215,X216,X217] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X212),X213))
        | X213 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X212),esk55_2(X212,X213)) )
      & ( X216 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X215),X217)
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X215),X216)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1354])])])])]) ).

fof(c_0_2234,plain,
    ! [X27,X28] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),hAPP_nat_nat(suc,zero_zero_nat)))
        | X27 = zero_zero_nat )
      & ( X28 != zero_zero_nat
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),hAPP_nat_nat(suc,zero_zero_nat))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1355])])])]) ).

fof(c_0_2235,plain,
    ! [X207,X208] :
      ( ( hBOOL(hAPP_nat_bool(X207,hAPP_nat_nat(suc,esk96_1(X207))))
        | hBOOL(hAPP_nat_bool(X207,zero_zero_nat))
        | ~ hBOOL(hAPP_nat_bool(X207,X208)) )
      & ( ~ hBOOL(hAPP_nat_bool(X207,esk96_1(X207)))
        | hBOOL(hAPP_nat_bool(X207,zero_zero_nat))
        | ~ hBOOL(hAPP_nat_bool(X207,X208)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1356])])])])])]) ).

fof(c_0_2236,plain,
    ! [X200,X201] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X200)),X201) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),
    inference(variable_rename,[status(thm)],[c_0_1357]) ).

fof(c_0_2237,plain,
    ! [X203,X204] :
      ( X203 = X204
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X204),X203)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1358])]) ).

fof(c_0_2238,plain,
    ! [X201,X202,X203,X204] :
      ( ( X201 = X202
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X201)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
        | X203 != X204 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X204),X203))
        | X203 != X204 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1359])])])])]) ).

fof(c_0_2239,plain,
    ! [X6,X7,X8,X9] :
      ( ( X6 = X7
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X7))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X6)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X9))
        | X8 != X9 )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X9),X8))
        | X8 != X9 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1360])])])])]) ).

fof(c_0_2240,plain,
    ! [X70,X71] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X70),X71))
      | X70 = X71
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X71),X70)) ),
    inference(variable_rename,[status(thm)],[c_0_1361]) ).

fof(c_0_2241,plain,
    ! [X68,X69] :
      ( X68 = X69
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X68),X69))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X69),X68)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1362])]) ).

fof(c_0_2242,plain,
    ! [X32,X33] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
      | X32 = X33
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1363])]) ).

fof(c_0_2243,plain,
    ! [X27] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X27))) = hAPP_nat_nat(suc,X27),
    inference(variable_rename,[status(thm)],[c_0_1364]) ).

fof(c_0_2244,plain,
    ! [X200,X201] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X200)) ),
    inference(variable_rename,[status(thm)],[c_0_1365]) ).

fof(c_0_2245,plain,
    ! [X114,X115] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X114),X115))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X115),X114)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1366])]) ).

fof(c_0_2246,plain,
    ! [X112,X113] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X112),X113))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X113),X112)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1367])]) ).

fof(c_0_2247,plain,
    ! [X110,X111] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X110),X111))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X111),X110)) ),
    inference(variable_rename,[status(thm)],[c_0_1368]) ).

fof(c_0_2248,plain,
    ! [X108,X109] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X108),X109))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X109),X108)) ),
    inference(variable_rename,[status(thm)],[c_0_1369]) ).

fof(c_0_2249,plain,
    ! [X81,X82] :
      ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X81),X82))
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X81)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1370])]) ).

fof(c_0_2250,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X72),X73))
        | hBOOL(hAPP_nat_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_nat_bool(X75,X74))
        | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1371])])])]) ).

fof(c_0_2251,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X72),X73))
        | hBOOL(hAPP_f1733357041l_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(X75,X74))
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1372])])])]) ).

fof(c_0_2252,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X72),X73))
        | hBOOL(hAPP_f446648900l_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_f446648900l_bool(X75,X74))
        | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1373])])])]) ).

fof(c_0_2253,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X72),X73))
        | hBOOL(hAPP_f1378099862l_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_f1378099862l_bool(X75,X74))
        | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1374])])])]) ).

fof(c_0_2254,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X72),X73))
        | hBOOL(hAPP_P1813625415t_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_P1813625415t_bool(X75,X74))
        | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1375])])])]) ).

fof(c_0_2255,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X72),X73))
        | hBOOL(hAPP_P1676879539t_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_P1676879539t_bool(X75,X74))
        | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1376])])])]) ).

fof(c_0_2256,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X72),X73))
        | hBOOL(hAPP_bool_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_bool_bool(X75,X74))
        | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1377])])])]) ).

fof(c_0_2257,plain,
    ! [X72,X73,X74,X75] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X72),X73))
        | hBOOL(hAPP_A416869060i_bool(X73,X72)) )
      & ( ~ hBOOL(hAPP_A416869060i_bool(X75,X74))
        | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X74),X75)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1378])])])]) ).

fof(c_0_2258,plain,
    ! [X14,X15,X16,X17] :
      ( ( X14 = X16
        | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X16),X17)
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X16)
        | ~ is_Arr723427730le_alt(X17) )
      & ( X15 = X17
        | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X16),X17)
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X16)
        | ~ is_Arr723427730le_alt(X17) )
      & ( X14 != X16
        | X15 != X17
        | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X14),X15) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X16),X17)
        | ~ is_Arr723427730le_alt(X14)
        | ~ is_Arr723427730le_alt(X15)
        | ~ is_Arr723427730le_alt(X16)
        | ~ is_Arr723427730le_alt(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1379])])]) ).

fof(c_0_2259,plain,
    ! [X23,X24,X25,X26] :
      ( ( X23 = X25
        | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X23),X24) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X25),X26)
        | ~ is_Arr723427730le_alt(X23)
        | ~ is_Arr723427730le_alt(X24)
        | ~ is_Arr723427730le_alt(X25)
        | ~ is_Arr723427730le_alt(X26) )
      & ( X24 = X26
        | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X23),X24) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X25),X26)
        | ~ is_Arr723427730le_alt(X23)
        | ~ is_Arr723427730le_alt(X24)
        | ~ is_Arr723427730le_alt(X25)
        | ~ is_Arr723427730le_alt(X26) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1380])])]) ).

fof(c_0_2260,plain,
    ! [X200,X201] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),hAPP_nat_nat(suc,X201)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201)),
    inference(variable_rename,[status(thm)],[c_0_1381]) ).

fof(c_0_2261,plain,
    ! [X200,X201] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X200)),X201) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),hAPP_nat_nat(suc,X201)),
    inference(variable_rename,[status(thm)],[c_0_1382]) ).

fof(c_0_2262,plain,
    ! [X27] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X27))) = X27,
    inference(variable_rename,[status(thm)],[c_0_1383]) ).

fof(c_0_2263,axiom,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    c_0_1384 ).

fof(c_0_2264,plain,
    ! [X75,X76] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X76),top_to207207712i_bool))
      | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X76),hAPP_A1895296483di_nat(X76,X75)) = X75 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1385])])])]) ).

fof(c_0_2265,plain,
    ! [X4,X5,X6] :
      ( ~ is_fun20916972t_bool(X4)
      | ~ is_Arr723427730le_alt(X5)
      | ~ is_Arr723427730le_alt(X6)
      | is_bool(in_rel1361124802le_alt(X4,X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1386])]) ).

fof(c_0_2266,plain,
    ! [X4,X5,X6] :
      ( ~ is_fun20916972t_bool(X4)
      | ~ is_Arr723427730le_alt(X5)
      | ~ is_Arr723427730le_alt(X6)
      | is_fun20916972t_bool(arrow_207701375_below(X4,X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1387])]) ).

fof(c_0_2267,plain,
    ! [X75,X76,X77] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),top_to207207712i_bool))
      | hAPP_A1895296483di_nat(X77,X75) != X76
      | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X77),X76) = X75 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1388])])])]) ).

fof(c_0_2268,plain,
    ! [X200] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X200))
      | X200 = hAPP_nat_nat(suc,esk90_1(X200)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1389])])]) ).

fof(c_0_2269,plain,
    ! [X30,X32,X33] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X30))
        | X30 = hAPP_nat_nat(suc,esk86_1(X30)) )
      & ( X32 != hAPP_nat_nat(suc,X33)
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X32)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1390])])])])]) ).

fof(c_0_2270,plain,
    ! [X13,X14] :
      ( ( ~ hBOOL(X13)
        | hBOOL(top_top_bool)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),top_top_bool)) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(X13)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),top_top_bool)) )
      & ( ~ hBOOL(X14)
        | ~ hBOOL(top_top_bool)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),top_top_bool)) )
      & ( hBOOL(X14)
        | hBOOL(top_top_bool)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X14),top_top_bool)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1391])])])])]) ).

fof(c_0_2271,plain,
    ! [X75,X76] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X76),top_top_fun_nat_bool))
      | hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X76),hAPP_nat_nat(X76,X75)) = X75 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1392])]) ).

fof(c_0_2272,plain,
    ! [X229,X230,X231] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X229),X230),X231) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1393]) ).

fof(c_0_2273,plain,
    ! [X229,X230,X231] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X229),X230),X231) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1394]) ).

fof(c_0_2274,plain,
    ! [X229,X230,X231] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X229),X230),X231) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1395]) ).

fof(c_0_2275,plain,
    ! [X229,X230,X231] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X229),X230),X231) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1396]) ).

fof(c_0_2276,plain,
    ! [X229,X230,X231] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X229),X230),X231) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1397]) ).

fof(c_0_2277,plain,
    ! [X229,X230,X231] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X229),X230),X231) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1398]) ).

fof(c_0_2278,plain,
    ! [X229,X230,X231] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X229),X230),X231) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1399]) ).

fof(c_0_2279,plain,
    ! [X229,X230,X231] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X229),X230),X231) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1400]) ).

fof(c_0_2280,plain,
    ! [X229,X230,X231] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X229),X230),X231) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1401]) ).

fof(c_0_2281,plain,
    ! [X229,X230,X231] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X229),X230),X231) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1402]) ).

fof(c_0_2282,plain,
    ! [X229,X230,X231] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X229),X230),X231) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1403]) ).

fof(c_0_2283,plain,
    ! [X229,X230,X231] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X229),X230),X231) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1404]) ).

fof(c_0_2284,plain,
    ! [X229,X230,X231] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X229),X230),X231) = hAPP_nat_bool(hAPP_A1948275303t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1405]) ).

fof(c_0_2285,plain,
    ! [X229,X230,X231] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X229),X230),X231) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1406]) ).

fof(c_0_2286,plain,
    ! [X229,X230,X231] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X229),X230),X231) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1407]) ).

fof(c_0_2287,plain,
    ! [X229,X230,X231] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X229),X230),X231) = hAPP_nat_bool(hAPP_n1699378549t_bool(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1408]) ).

fof(c_0_2288,plain,
    ! [X229,X230,X231] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X229),X230),X231) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X229,X231),X230),
    inference(variable_rename,[status(thm)],[c_0_1409]) ).

fof(c_0_2289,plain,
    ! [X13] :
      ( ( X13 = top_to1257323279t_bool
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),top_to1257323279t_bool))
        | ~ is_fun1568535512t_bool(X13) )
      & ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),top_to1257323279t_bool))
        | X13 != top_to1257323279t_bool
        | ~ is_fun1568535512t_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1410])])]) ).

fof(c_0_2290,plain,
    ! [X13] :
      ( ( X13 = top_to207207712i_bool
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),top_to207207712i_bool))
        | ~ is_fun2015243113i_bool(X13) )
      & ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),top_to207207712i_bool))
        | X13 != top_to207207712i_bool
        | ~ is_fun2015243113i_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1411])])]) ).

fof(c_0_2291,plain,
    ! [X13] :
      ( ( X13 = top_to1773227171t_bool
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X13),top_to1773227171t_bool))
        | ~ is_fun20916972t_bool(X13) )
      & ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X13),top_to1773227171t_bool))
        | X13 != top_to1773227171t_bool
        | ~ is_fun20916972t_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1412])])]) ).

fof(c_0_2292,plain,
    ! [X13] :
      ( ( X13 = top_to1849101472l_bool
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X13),top_to1849101472l_bool))
        | ~ is_fun292781289l_bool(X13) )
      & ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X13),top_to1849101472l_bool))
        | X13 != top_to1849101472l_bool
        | ~ is_fun292781289l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1413])])]) ).

fof(c_0_2293,plain,
    ! [X13] :
      ( ( X13 = top_to935749874l_bool
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X13),top_to935749874l_bool))
        | ~ is_fun701126715l_bool(X13) )
      & ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X13),top_to935749874l_bool))
        | X13 != top_to935749874l_bool
        | ~ is_fun701126715l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1414])])]) ).

fof(c_0_2294,plain,
    ! [X13] :
      ( ( X13 = top_to846262053l_bool
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X13),top_to846262053l_bool))
        | ~ is_fun1420103068l_bool(X13) )
      & ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X13),top_to846262053l_bool))
        | X13 != top_to846262053l_bool
        | ~ is_fun1420103068l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1415])])]) ).

fof(c_0_2295,plain,
    ! [X228,X229] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X228),X229))
      | hBOOL(X229) ),
    inference(variable_rename,[status(thm)],[c_0_1416]) ).

fof(c_0_2296,plain,
    ! [X228,X229] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X228),X229))
      | hBOOL(X228) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1417])])]) ).

fof(c_0_2297,plain,
    ! [X75,X76,X77] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),top_top_fun_nat_bool))
      | hAPP_nat_nat(X77,X75) != X76
      | hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X77),X76) = X75 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1418])]) ).

fof(c_0_2298,plain,
    ! [X205,X206] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X205),X206))
      | X205 != X206 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1419])]) ).

fof(c_0_2299,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | X201 != X200 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1420])]) ).

fof(c_0_2300,plain,
    ! [X66,X67] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X67))
      | X66 != X67 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1421])]) ).

fof(c_0_2301,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1422])]) ).

fof(c_0_2302,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1423])]) ).

fof(c_0_2303,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1424])]) ).

fof(c_0_2304,plain,
    ! [X60,X61] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X61))
      | X60 != X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1425])]) ).

fof(c_0_2305,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1426])]) ).

fof(c_0_2306,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1427])]) ).

fof(c_0_2307,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | X6 != X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1428])]) ).

fof(c_0_2308,plain,
    ! [X58,X59] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X59))
      | X59 != X58 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1429])]) ).

fof(c_0_2309,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X6),X7))
      | X7 != X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1430])]) ).

fof(c_0_2310,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X6),X7))
      | X7 != X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1431])]) ).

fof(c_0_2311,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X6),X7))
      | X7 != X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1432])]) ).

fof(c_0_2312,plain,
    ! [X75,X76,X77] :
      ( ~ is_Arr859726945e_indi(X75)
      | ~ is_Arr859726945e_indi(X76)
      | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),top_to207207712i_bool))
      | hAPP_A1895296483di_nat(X77,X75) != hAPP_A1895296483di_nat(X77,X76)
      | X75 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1433])])])]) ).

fof(c_0_2313,plain,
    ! [X75,X76,X77] :
      ( ( hAPP_A1895296483di_nat(X77,X75) != hAPP_A1895296483di_nat(X77,X76)
        | X75 = X76
        | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),top_to207207712i_bool))
        | ~ is_Arr859726945e_indi(X75)
        | ~ is_Arr859726945e_indi(X76) )
      & ( X75 != X76
        | hAPP_A1895296483di_nat(X77,X75) = hAPP_A1895296483di_nat(X77,X76)
        | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X77),top_to207207712i_bool))
        | ~ is_Arr859726945e_indi(X75)
        | ~ is_Arr859726945e_indi(X76) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1434])])])])]) ).

fof(c_0_2314,plain,
    ! [X200,X201] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X201))
      | X201 != zero_zero_nat ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1435])]) ).

fof(c_0_2315,plain,
    ! [X203,X204] :
      ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X203),X204))
      | X203 = X204 ),
    inference(variable_rename,[status(thm)],[c_0_1436]) ).

fof(c_0_2316,plain,
    ! [X200] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X200))),
    inference(variable_rename,[status(thm)],[c_0_1437]) ).

fof(c_0_2317,plain,
    ! [X13] :
      ( ( ~ hBOOL(X13)
        | hBOOL(top_top_bool)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X13)) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(X13)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X13)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1438])])]) ).

fof(c_0_2318,plain,
    ! [X13,X14] :
      ( ( ~ hBOOL(X13)
        | hBOOL(top_top_bool)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X13)) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(X13)
        | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X13)) )
      & ( ~ hBOOL(X14)
        | ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X14)) )
      & ( hBOOL(X14)
        | hBOOL(top_top_bool)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X14)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1439])])])])]) ).

fof(c_0_2319,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X200)),
    inference(variable_rename,[status(thm)],[c_0_1440]) ).

fof(c_0_2320,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X200)),
    inference(variable_rename,[status(thm)],[c_0_1441]) ).

fof(c_0_2321,plain,
    ! [X71] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X71),X71)),
    inference(variable_rename,[status(thm)],[c_0_1442]) ).

fof(c_0_2322,plain,
    ! [X5] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X5)),
    inference(variable_rename,[status(thm)],[c_0_1443]) ).

fof(c_0_2323,plain,
    ! [X5] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X5)),
    inference(variable_rename,[status(thm)],[c_0_1444]) ).

fof(c_0_2324,plain,
    ! [X5] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X5)),
    inference(variable_rename,[status(thm)],[c_0_1445]) ).

fof(c_0_2325,plain,
    ! [X13] :
      ( ~ is_fun2015243113i_bool(X13)
      | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X13))
      | X13 = top_to207207712i_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1446])]) ).

fof(c_0_2326,plain,
    ! [X13] :
      ( ~ is_fun1568535512t_bool(X13)
      | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X13))
      | X13 = top_to1257323279t_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1447])]) ).

fof(c_0_2327,plain,
    ! [X13] :
      ( ~ is_fun20916972t_bool(X13)
      | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X13))
      | X13 = top_to1773227171t_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1448])]) ).

fof(c_0_2328,plain,
    ! [X13] :
      ( ~ is_fun701126715l_bool(X13)
      | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X13))
      | X13 = top_to935749874l_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1449])]) ).

fof(c_0_2329,plain,
    ! [X13] :
      ( ~ is_fun292781289l_bool(X13)
      | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X13))
      | X13 = top_to1849101472l_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1450])]) ).

fof(c_0_2330,plain,
    ! [X13] :
      ( ~ is_fun1420103068l_bool(X13)
      | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X13))
      | X13 = top_to846262053l_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1451])]) ).

fof(c_0_2331,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X13))
        | X13 = top_to207207712i_bool
        | ~ is_fun2015243113i_bool(X13) )
      & ( X13 != top_to207207712i_bool
        | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X13))
        | ~ is_fun2015243113i_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1452])])]) ).

fof(c_0_2332,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X13))
        | X13 = top_to1257323279t_bool
        | ~ is_fun1568535512t_bool(X13) )
      & ( X13 != top_to1257323279t_bool
        | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X13))
        | ~ is_fun1568535512t_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1453])])]) ).

fof(c_0_2333,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X13))
        | X13 = top_to1773227171t_bool
        | ~ is_fun20916972t_bool(X13) )
      & ( X13 != top_to1773227171t_bool
        | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X13))
        | ~ is_fun20916972t_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1454])])]) ).

fof(c_0_2334,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X13))
        | X13 = top_to935749874l_bool
        | ~ is_fun701126715l_bool(X13) )
      & ( X13 != top_to935749874l_bool
        | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X13))
        | ~ is_fun701126715l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1455])])]) ).

fof(c_0_2335,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X13))
        | X13 = top_to1849101472l_bool
        | ~ is_fun292781289l_bool(X13) )
      & ( X13 != top_to1849101472l_bool
        | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X13))
        | ~ is_fun292781289l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1456])])]) ).

fof(c_0_2336,plain,
    ! [X13] :
      ( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X13))
        | X13 = top_to846262053l_bool
        | ~ is_fun1420103068l_bool(X13) )
      & ( X13 != top_to846262053l_bool
        | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X13))
        | ~ is_fun1420103068l_bool(X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1457])])]) ).

fof(c_0_2337,plain,
    ! [X207,X208,X209,X210,X211,X212] :
      ( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X209),X208)
        | X207 = X209 )
      & ( X210 != X212
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X211) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X212),X211) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1458])])])]) ).

fof(c_0_2338,plain,
    ! [X207,X208,X209,X210,X211,X212] :
      ( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X209)
        | X208 = X209 )
      & ( X211 != X212
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X211) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X210),X212) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1459])])])]) ).

fof(c_0_2339,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X18)
        | X17 = X18 )
      & ( X20 != X21
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X21) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1460])])])]) ).

fof(c_0_2340,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X16),X17) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X18),X17)
        | X16 = X18 )
      & ( X19 != X21
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X19),X20) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X21),X20) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1461])])])]) ).

fof(c_0_2341,plain,
    ! [X160,X161,X162] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),X161) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),X162)
      | X161 = X162 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1462])]) ).

fof(c_0_2342,plain,
    ! [X157,X158,X159] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X158) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X159)
      | X158 = X159 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1463])]) ).

fof(c_0_2343,plain,
    ! [X154,X155,X156] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X155) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X156),X155)
      | X154 = X156 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1464])]) ).

fof(c_0_2344,plain,
    ! [X13,X14] :
      ( ( X13 = top_top_fun_nat_bool
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),top_top_fun_nat_bool)) )
      & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X14),top_top_fun_nat_bool))
        | X14 != top_top_fun_nat_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1465])])])]) ).

fof(c_0_2345,plain,
    ! [X27,X28] :
      ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),zero_zero_nat))
        | X27 = zero_zero_nat )
      & ( X28 != zero_zero_nat
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X28),zero_zero_nat)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1466])])])]) ).

fof(c_0_2346,plain,
    ! [X200] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X200))),
    inference(variable_rename,[status(thm)],[c_0_1467]) ).

fof(c_0_2347,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),zero_zero_nat)),
    inference(variable_rename,[status(thm)],[c_0_1468]) ).

fof(c_0_2348,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),zero_zero_nat)),
    inference(variable_rename,[status(thm)],[c_0_1469]) ).

fof(c_0_2349,plain,
    ! [X200] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),zero_zero_nat)),
    inference(variable_rename,[status(thm)],[c_0_1470]) ).

fof(c_0_2350,plain,
    ! [X27,X28] :
      ( ( X27 = zero_zero_nat
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X27)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X28))
        | X28 != zero_zero_nat ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1471])])])]) ).

fof(c_0_2351,plain,
    ! [X13] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X13))
      | X13 = top_top_fun_nat_bool ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1472])]) ).

fof(c_0_2352,plain,
    ! [X13,X14] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X13))
        | X13 = top_top_fun_nat_bool )
      & ( X14 != top_top_fun_nat_bool
        | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X14)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1473])])])]) ).

fof(c_0_2353,plain,
    ! [X13] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1474]) ).

fof(c_0_2354,plain,
    ! [X13] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1475]) ).

fof(c_0_2355,plain,
    ! [X13] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1476]) ).

fof(c_0_2356,plain,
    ! [X13] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1477]) ).

fof(c_0_2357,plain,
    ! [X13] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1478]) ).

fof(c_0_2358,plain,
    ! [X13] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1479]) ).

fof(c_0_2359,plain,
    ! [X13] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1480]) ).

fof(c_0_2360,plain,
    ! [X13] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X13)),
    inference(variable_rename,[status(thm)],[c_0_1481]) ).

fof(c_0_2361,plain,
    ! [X75,X76,X77] :
      ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),top_top_fun_nat_bool))
      | hAPP_nat_nat(X77,X75) != hAPP_nat_nat(X77,X76)
      | X75 = X76 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1482])]) ).

fof(c_0_2362,plain,
    ! [X75,X76,X77] :
      ( ( hAPP_nat_nat(X77,X75) != hAPP_nat_nat(X77,X76)
        | X75 = X76
        | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),top_top_fun_nat_bool)) )
      & ( X75 != X76
        | hAPP_nat_nat(X77,X75) = hAPP_nat_nat(X77,X76)
        | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X77),top_top_fun_nat_bool)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1483])])]) ).

fof(c_0_2363,plain,
    ! [X229,X230,X231] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X229,X230),X231) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X229,X231),hAPP_A340536322t_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1484]) ).

fof(c_0_2364,plain,
    ! [X229,X230,X231] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(X229,X230),X231) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X229,X231),hAPP_A340536322t_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1485]) ).

fof(c_0_2365,plain,
    ! [X229,X230,X231] : hAPP_nat_bool(cOMBS_nat_bool_bool(X229,X230),X231) = hAPP_bool_bool(hAPP_n1006566506l_bool(X229,X231),hAPP_nat_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1486]) ).

fof(c_0_2366,plain,
    ! [X225,X226] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X225),X226))),
    inference(variable_rename,[status(thm)],[c_0_1487]) ).

fof(c_0_2367,plain,
    ! [X201,X202,X203,X204] :
      ( ( X201 = zero_zero_nat
        | X201 = hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != hAPP_nat_nat(suc,zero_zero_nat) )
      & ( X202 = hAPP_nat_nat(suc,zero_zero_nat)
        | X201 = hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != hAPP_nat_nat(suc,zero_zero_nat) )
      & ( X201 = zero_zero_nat
        | X202 = zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != hAPP_nat_nat(suc,zero_zero_nat) )
      & ( X202 = hAPP_nat_nat(suc,zero_zero_nat)
        | X202 = zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != hAPP_nat_nat(suc,zero_zero_nat) )
      & ( X203 != hAPP_nat_nat(suc,zero_zero_nat)
        | X204 != zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204) = hAPP_nat_nat(suc,zero_zero_nat) )
      & ( X203 != zero_zero_nat
        | X204 != hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204) = hAPP_nat_nat(suc,zero_zero_nat) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1488])])])])]) ).

fof(c_0_2368,plain,
    ! [X201,X202,X203,X204] :
      ( ( X201 = zero_zero_nat
        | X201 = hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) )
      & ( X202 = hAPP_nat_nat(suc,zero_zero_nat)
        | X201 = hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) )
      & ( X201 = zero_zero_nat
        | X202 = zero_zero_nat
        | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) )
      & ( X202 = hAPP_nat_nat(suc,zero_zero_nat)
        | X202 = zero_zero_nat
        | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) )
      & ( X203 != hAPP_nat_nat(suc,zero_zero_nat)
        | X204 != zero_zero_nat
        | hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204) )
      & ( X203 != zero_zero_nat
        | X204 != hAPP_nat_nat(suc,zero_zero_nat)
        | hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1489])])])])]) ).

fof(c_0_2369,plain,
    ! [X229,X230,X231] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X229),X230),X231) = hAPP_b910261233t_bool(X229,hAPP_A416869060i_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1490]) ).

fof(c_0_2370,plain,
    ! [X229,X230,X231] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X229),X230),X231) = hAPP_f372913425t_bool(X229,hAPP_A643475905l_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1491]) ).

fof(c_0_2371,plain,
    ! [X229,X230,X231] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X229),X230),X231) = hAPP_f684072049t_bool(X229,hAPP_A340536322t_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1492]) ).

fof(c_0_2372,plain,
    ! [X229,X230,X231] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X229),X230),X231) = hAPP_f1656652505l_bool(X229,hAPP_A1171966089le_alt(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1493]) ).

fof(c_0_2373,plain,
    ! [X229,X230,X231] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X229),X230),X231) = hAPP_f102394819t_bool(X229,hAPP_A340536322t_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1494]) ).

fof(c_0_2374,plain,
    ! [X229,X230,X231] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X229),X230),X231) = hAPP_P1151433609l_bool(X229,hAPP_A1561816353le_alt(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1495]) ).

fof(c_0_2375,plain,
    ! [X229,X230,X231] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X229),X230),X231) = hAPP_n1699378549t_bool(X229,hAPP_A1895296483di_nat(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1496]) ).

fof(c_0_2376,plain,
    ! [X229,X230,X231] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X229),X230),X231) = hAPP_n215258509l_bool(X229,hAPP_nat_nat(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1497]) ).

fof(c_0_2377,plain,
    ! [X229,X230,X231] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X229),X230),X231) = hAPP_b589554111l_bool(X229,hAPP_nat_bool(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1498]) ).

fof(c_0_2378,plain,
    ! [X229,X230,X231] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X229),X230),X231) = hAPP_n1699378549t_bool(X229,hAPP_nat_nat(X230,X231)),
    inference(variable_rename,[status(thm)],[c_0_1499]) ).

fof(c_0_2379,plain,
    ! [X228,X229] :
      ( ~ hBOOL(X229)
      | ~ hBOOL(X228)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X229),X228)) ),
    inference(variable_rename,[status(thm)],[c_0_1500]) ).

fof(c_0_2380,plain,
    ! [X6,X7] :
      ( ( ~ hBOOL(X7)
        | ~ hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6)) )
      & ( hBOOL(X7)
        | hBOOL(X6)
        | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X6)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1501])])]) ).

fof(c_0_2381,plain,
    ! [X203,X204] :
      ( ~ is_fun20916972t_bool(X204)
      | hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X203),X204) = X204 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1502])]) ).

fof(c_0_2382,plain,
    ! [X203,X204] :
      ( ~ is_fun20916972t_bool(X203)
      | hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X203),X204) = X203 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1503])])])]) ).

fof(c_0_2383,plain,
    ! [X150] :
      ( ( is_Arr859726945e_indi(esk41_1(X150))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),top_to207207712i_bool)) )
      & ( is_Arr859726945e_indi(esk42_1(X150))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),top_to207207712i_bool)) )
      & ( hAPP_A1895296483di_nat(X150,esk41_1(X150)) = hAPP_A1895296483di_nat(X150,esk42_1(X150))
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),top_to207207712i_bool)) )
      & ( esk41_1(X150) != esk42_1(X150)
        | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X150),top_to207207712i_bool)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1504])])])]) ).

fof(c_0_2384,plain,
    ! [X150] :
      ( ( hAPP_nat_nat(X150,esk39_1(X150)) = hAPP_nat_nat(X150,esk40_1(X150))
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),top_top_fun_nat_bool)) )
      & ( esk39_1(X150) != esk40_1(X150)
        | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X150),top_top_fun_nat_bool)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1505])])])]) ).

fof(c_0_2385,plain,
    ! [X203,X204] :
      ( X203 != X204
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X203),X204)) ),
    inference(variable_rename,[status(thm)],[c_0_1506]) ).

fof(c_0_2386,plain,
    ! [X200,X201] :
      ( X200 != X201
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X201)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1507])]) ).

fof(c_0_2387,plain,
    ! [X77,X78] :
      ( X77 != X78
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1508])]) ).

fof(c_0_2388,plain,
    ! [X77,X78] :
      ( X77 != X78
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1509])]) ).

fof(c_0_2389,plain,
    ! [X77,X78] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X77),X78))
        | X77 != X78 )
      & ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X78),X77))
        | X77 != X78 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1510])])]) ).

fof(c_0_2390,plain,
    ! [X6,X7] :
      ( X6 != X7
      | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1511])]) ).

fof(c_0_2391,plain,
    ! [X106,X107] :
      ( X106 != X107
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X106),X107)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1512])]) ).

fof(c_0_2392,plain,
    ! [X200] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X200)),
    inference(variable_rename,[status(thm)],[c_0_1513]) ).

fof(c_0_2393,plain,
    ! [X72] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X72),X72)),
    inference(variable_rename,[status(thm)],[c_0_1514]) ).

fof(c_0_2394,plain,
    ! [X5] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X5)),
    inference(variable_rename,[status(thm)],[c_0_1515]) ).

fof(c_0_2395,plain,
    ! [X78] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X78),X78)),
    inference(variable_rename,[status(thm)],[c_0_1516]) ).

fof(c_0_2396,plain,
    ! [X5] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X5)),
    inference(variable_rename,[status(thm)],[c_0_1517]) ).

fof(c_0_2397,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    c_0_1518 ).

fof(c_0_2398,plain,
    ! [X200,X201] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X200),
    inference(variable_rename,[status(thm)],[c_0_1519]) ).

fof(c_0_2399,plain,
    ! [X72] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X72),top_to207207712i_bool)),
    inference(variable_rename,[status(thm)],[c_0_1520]) ).

fof(c_0_2400,plain,
    ! [X72] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X72),top_to1257323279t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1521]) ).

fof(c_0_2401,plain,
    ! [X72] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X72),top_top_fun_nat_bool)),
    inference(variable_rename,[status(thm)],[c_0_1522]) ).

fof(c_0_2402,plain,
    ! [X72] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X72),top_to1773227171t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1523]) ).

fof(c_0_2403,plain,
    ! [X72] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X72),top_to935749874l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1524]) ).

fof(c_0_2404,plain,
    ! [X72] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X72),top_to1849101472l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1525]) ).

fof(c_0_2405,plain,
    ! [X72] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X72),top_to846262053l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1526]) ).

fof(c_0_2406,plain,
    ! [X13] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),top_to207207712i_bool)),
    inference(variable_rename,[status(thm)],[c_0_1527]) ).

fof(c_0_2407,plain,
    ! [X13] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),top_to1257323279t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1528]) ).

fof(c_0_2408,plain,
    ! [X13] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),top_top_fun_nat_bool)),
    inference(variable_rename,[status(thm)],[c_0_1529]) ).

fof(c_0_2409,plain,
    ! [X13] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X13),top_to1773227171t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1530]) ).

fof(c_0_2410,plain,
    ! [X13] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X13),top_to935749874l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1531]) ).

fof(c_0_2411,plain,
    ! [X13] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X13),top_to1849101472l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1532]) ).

fof(c_0_2412,plain,
    ! [X13] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X13),top_to846262053l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1533]) ).

fof(c_0_2413,plain,
    ! [X13] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),top_top_bool)),
    inference(variable_rename,[status(thm)],[c_0_1534]) ).

fof(c_0_2414,plain,
    ! [X5] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),top_top_fun_nat_bool)),
    inference(variable_rename,[status(thm)],[c_0_1535]) ).

fof(c_0_2415,plain,
    ! [X5] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),top_to846262053l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1536]) ).

fof(c_0_2416,plain,
    ! [X5] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X5),top_to1849101472l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1537]) ).

fof(c_0_2417,plain,
    ! [X5] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),top_to935749874l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1538]) ).

fof(c_0_2418,plain,
    ! [X5] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X5),top_to1773227171t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1539]) ).

fof(c_0_2419,plain,
    ! [X5] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X5),top_to1257323279t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1540]) ).

fof(c_0_2420,plain,
    ! [X5] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),top_to207207712i_bool)),
    inference(variable_rename,[status(thm)],[c_0_1541]) ).

fof(c_0_2421,plain,
    ! [X5] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X5),top_to1647826457l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1542]) ).

fof(c_0_2422,plain,
    ! [X5] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),top_top_fun_nat_bool)),
    inference(variable_rename,[status(thm)],[c_0_1543]) ).

fof(c_0_2423,plain,
    ! [X5] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),top_to846262053l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1544]) ).

fof(c_0_2424,plain,
    ! [X5] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X5),top_to1849101472l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1545]) ).

fof(c_0_2425,plain,
    ! [X5] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),top_to935749874l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1546]) ).

fof(c_0_2426,plain,
    ! [X5] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X5),top_to1773227171t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1547]) ).

fof(c_0_2427,plain,
    ! [X5] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X5),top_to1257323279t_bool)),
    inference(variable_rename,[status(thm)],[c_0_1548]) ).

fof(c_0_2428,plain,
    ! [X5] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),top_to207207712i_bool)),
    inference(variable_rename,[status(thm)],[c_0_1549]) ).

fof(c_0_2429,plain,
    ! [X5] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X5),top_to1647826457l_bool)),
    inference(variable_rename,[status(thm)],[c_0_1550]) ).

fof(c_0_2430,plain,
    ! [X200] :
      ( X200 = zero_zero_nat
      | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X200)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1551])]) ).

fof(c_0_2431,plain,
    ! [X200] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X200)),
    inference(variable_rename,[status(thm)],[c_0_1552]) ).

fof(c_0_2432,plain,
    ! [X200] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X200)),
    inference(variable_rename,[status(thm)],[c_0_1553]) ).

fof(c_0_2433,plain,
    ( is_fun20916972t_bool(esk63_0)
    & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk63_0),arrow_912654623le_Lin)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_1554])]) ).

fof(c_0_2434,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    c_0_1555 ).

fof(c_0_2435,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    c_0_1556 ).

fof(c_0_2436,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    c_0_1557 ).

fof(c_0_2437,plain,
    ! [X200,X201] :
      ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X201) != X200
      | X201 = zero_zero_nat ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1558])]) ).

fof(c_0_2438,plain,
    ! [X201,X202,X203,X204] :
      ( ( X201 = zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != zero_zero_nat )
      & ( X202 = zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X202) != zero_zero_nat )
      & ( X203 != zero_zero_nat
        | X204 != zero_zero_nat
        | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X203),X204) = zero_zero_nat ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1559])])])])]) ).

fof(c_0_2439,plain,
    ! [X200] : hAPP_nat_nat(suc,X200) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),one_one_nat),
    inference(variable_rename,[status(thm)],[c_0_1560]) ).

fof(c_0_2440,plain,
    ! [X25] : hAPP_n1699378549t_bool(ord_less_nat,X25) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X25)),
    inference(variable_rename,[status(thm)],[c_0_1561]) ).

fof(c_0_2441,plain,
    ! [X200] : hAPP_nat_nat(suc,X200) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X200),
    inference(variable_rename,[status(thm)],[c_0_1562]) ).

fof(c_0_2442,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1563])])])]) ).

fof(c_0_2443,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1564])])])]) ).

fof(c_0_2444,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1565])])])]) ).

fof(c_0_2445,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1566])])])]) ).

fof(c_0_2446,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1567])])])]) ).

fof(c_0_2447,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1568])])])]) ).

fof(c_0_2448,plain,
    ! [X5,X6] :
      ( ( ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5))
        | hBOOL(top_top_bool) )
      & ( ~ hBOOL(top_top_bool)
        | hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1569])])])]) ).

fof(c_0_2449,plain,
    ! [X228,X229] :
      ( ~ is_fun1420103068l_bool(X228)
      | hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1570])])])]) ).

fof(c_0_2450,plain,
    ! [X228,X229] :
      ( ~ is_fun701126715l_bool(X228)
      | hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1571])])])]) ).

fof(c_0_2451,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1572])])])]) ).

fof(c_0_2452,plain,
    ! [X228,X229] :
      ( ~ is_fun1420103068l_bool(X228)
      | hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1573])])])]) ).

fof(c_0_2453,plain,
    ! [X228,X229] :
      ( ~ is_fun2015243113i_bool(X228)
      | hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1574])])])]) ).

fof(c_0_2454,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1575])])])]) ).

fof(c_0_2455,plain,
    ! [X228,X229] :
      ( ~ is_fun20916972t_bool(X228)
      | hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1576])])])]) ).

fof(c_0_2456,plain,
    ! [X228,X229] :
      ( ~ is_fun20916972t_bool(X228)
      | hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1577])])])]) ).

fof(c_0_2457,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1578])])])]) ).

fof(c_0_2458,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1579])])])]) ).

fof(c_0_2459,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1580])])])]) ).

fof(c_0_2460,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1581])])])]) ).

fof(c_0_2461,plain,
    ! [X228,X229] :
      ( ~ is_bool(X228)
      | hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X228),X229) = X228 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1582])])])]) ).

fof(c_0_2462,plain,
    ! [X3,X4] :
      ( ~ is_fun2015243113i_bool(X3)
      | ~ is_Arr859726945e_indi(X4)
      | is_bool(hAPP_A416869060i_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1583])]) ).

fof(c_0_2463,plain,
    ! [X219,X220,X221,X222] :
      ( ( hAPP_nat_nat(suc,X219) != hAPP_nat_nat(suc,X220)
        | X219 = X220 )
      & ( X221 != X222
        | hAPP_nat_nat(suc,X221) = hAPP_nat_nat(suc,X222) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1584])])])]) ).

fof(c_0_2464,plain,
    ! [X203,X204] :
      ( hAPP_nat_nat(suc,X203) != hAPP_nat_nat(suc,X204)
      | X203 = X204 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1585])]) ).

fof(c_0_2465,plain,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    c_0_1586 ).

fof(c_0_2466,plain,
    ! [X228,X229] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X228),X229) = X228,
    inference(variable_rename,[status(thm)],[c_0_1587]) ).

fof(c_0_2467,plain,
    ! [X228,X229] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X228),X229) = X228,
    inference(variable_rename,[status(thm)],[c_0_1588]) ).

fof(c_0_2468,plain,
    ! [X228,X229] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X228),X229) = X228,
    inference(variable_rename,[status(thm)],[c_0_1589]) ).

fof(c_0_2469,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X3)
      | is_bool(hAPP_P1813625415t_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1590])])])]) ).

fof(c_0_2470,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_fun20916972t_bool(hAPP_f137597973t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1591])]) ).

fof(c_0_2471,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_fun1420103068l_bool(hAPP_f1344932147l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1592])]) ).

fof(c_0_2472,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_fun701126715l_bool(hAPP_f1332130404l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1593])]) ).

fof(c_0_2473,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_fun1568535512t_bool(hAPP_f649586561t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1594])]) ).

fof(c_0_2474,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_fun2015243113i_bool(hAPP_f431432850i_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1595])]) ).

fof(c_0_2475,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X4)
      | is_Arr859726945e_indi(hAPP_f1283454584e_indi(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1596])]) ).

fof(c_0_2476,plain,
    ! [X3,X4] :
      ( ~ is_fun1420103068l_bool(X4)
      | is_fun1420103068l_bool(hAPP_f574392641l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1597])]) ).

fof(c_0_2477,plain,
    ! [X3,X4] :
      ( ~ is_fun1420103068l_bool(X4)
      | is_bool(hAPP_f560517119l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1598])]) ).

fof(c_0_2478,plain,
    ! [X3,X4] :
      ( ~ is_fun292781289l_bool(X4)
      | is_fun292781289l_bool(hAPP_f1028172757l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1599])]) ).

fof(c_0_2479,plain,
    ! [X3,X4] :
      ( ~ is_fun292781289l_bool(X4)
      | is_bool(hAPP_f322109294l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1600])]) ).

fof(c_0_2480,plain,
    ! [X3,X4] :
      ( ~ is_fun292781289l_bool(X3)
      | is_bool(hAPP_f446648900l_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1601])])])]) ).

fof(c_0_2481,plain,
    ! [X3,X4] :
      ( ~ is_fun701126715l_bool(X4)
      | is_fun701126715l_bool(hAPP_f189058133l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1602])]) ).

fof(c_0_2482,plain,
    ! [X3,X4] :
      ( ~ is_fun701126715l_bool(X4)
      | is_bool(hAPP_f147218624l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1603])]) ).

fof(c_0_2483,plain,
    ! [X3,X4] :
      ( ~ is_fun1568535512t_bool(X4)
      | is_fun1568535512t_bool(hAPP_f427533077t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1604])]) ).

fof(c_0_2484,plain,
    ! [X3,X4] :
      ( ~ is_fun1568535512t_bool(X4)
      | is_bool(hAPP_f2028818269l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1605])]) ).

fof(c_0_2485,plain,
    ! [X3,X4] :
      ( ~ is_fun701126715l_bool(X3)
      | is_bool(hAPP_f1378099862l_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1606])])])]) ).

fof(c_0_2486,plain,
    ! [X3,X4] :
      ( ~ is_fun2015243113i_bool(X4)
      | is_fun2015243113i_bool(hAPP_f1282033109i_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1607])]) ).

fof(c_0_2487,plain,
    ! [X3,X4] :
      ( ~ is_fun2015243113i_bool(X4)
      | is_bool(hAPP_f160177134l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1608])]) ).

fof(c_0_2488,plain,
    ! [X3,X4] :
      ( ~ is_fun1568535512t_bool(X3)
      | is_bool(hAPP_P1676879539t_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1609])])])]) ).

fof(c_0_2489,plain,
    ! [X3,X4] :
      ( ~ is_fun1084921220e_indi(X3)
      | is_Arr859726945e_indi(hAPP_n619554777e_indi(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1610])])])]) ).

fof(c_0_2490,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun20916972t_bool(hAPP_b763490121t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1611])]) ).

fof(c_0_2491,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun1420103068l_bool(hAPP_b805997823l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1612])]) ).

fof(c_0_2492,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun292781289l_bool(hAPP_b651754310l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1613])]) ).

fof(c_0_2493,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun701126715l_bool(hAPP_b1461182872l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1614])]) ).

fof(c_0_2494,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun1568535512t_bool(hAPP_b1096750261t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1615])]) ).

fof(c_0_2495,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_fun2015243113i_bool(hAPP_b2116075462i_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1616])]) ).

fof(c_0_2496,plain,
    ! [X3,X4] :
      ( ~ is_bool(X4)
      | is_bool(hAPP_bool_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1617])]) ).

fof(c_0_2497,plain,
    ! [X3,X4] :
      ( ~ is_Arr859726945e_indi(X4)
      | is_fun20916972t_bool(hAPP_A340536322t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1618])]) ).

fof(c_0_2498,plain,
    ! [X3,X4] :
      ( ~ is_Arr859726945e_indi(X4)
      | is_fun1420103068l_bool(hAPP_A659996934l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1619])]) ).

fof(c_0_2499,plain,
    ! [X3,X4] :
      ( ~ is_Arr859726945e_indi(X4)
      | is_fun292781289l_bool(hAPP_A955165183l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1620])]) ).

fof(c_0_2500,plain,
    ! [X3,X4] :
      ( ~ is_Arr859726945e_indi(X4)
      | is_fun701126715l_bool(hAPP_A701636433l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1621])]) ).

fof(c_0_2501,plain,
    ! [X3,X4] :
      ( ~ is_Arr723427730le_alt(X4)
      | is_fun20916972t_bool(hAPP_A1014090479t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1622])]) ).

fof(c_0_2502,plain,
    ! [X3,X4] :
      ( ~ is_Arr723427730le_alt(X4)
      | is_fun1420103068l_bool(hAPP_A433435097l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1623])]) ).

fof(c_0_2503,plain,
    ! [X3,X4] :
      ( ~ is_Arr723427730le_alt(X4)
      | is_bool(hAPP_A1120018583t_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1624])]) ).

fof(c_0_2504,plain,
    ! [X3,X4] :
      ( ~ is_fun2015243113i_bool(X3)
      | is_fun1084921220e_indi(hilber951314860di_nat(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1625])])])]) ).

fof(c_0_2505,plain,
    ! [X3,X4] :
      ( ~ is_fun20916972t_bool(X3)
      | is_fun1420103068l_bool(pi_Pro1873779901t_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1626])])])]) ).

fof(c_0_2506,plain,
    ! [X3,X4] :
      ( ~ is_fun701126715l_bool(X3)
      | is_fun292781289l_bool(pi_fun1555365306t_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1627])])])]) ).

fof(c_0_2507,plain,
    ! [X3,X4] :
      ( ~ is_fun2015243113i_bool(X3)
      | is_fun701126715l_bool(pi_Arr1801471756t_bool(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1628])])])]) ).

fof(c_0_2508,plain,
    ! [X210] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X210)),
    inference(variable_rename,[status(thm)],[c_0_1629]) ).

fof(c_0_2509,plain,
    ! [X198] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X198),zero_zero_nat) = X198,
    inference(variable_rename,[status(thm)],[c_0_1630]) ).

fof(c_0_2510,plain,
    ! [X72] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X72)),
    inference(variable_rename,[status(thm)],[c_0_1631]) ).

fof(c_0_2511,plain,
    ! [X200] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X200) = X200,
    inference(variable_rename,[status(thm)],[c_0_1632]) ).

fof(c_0_2512,plain,
    ! [X72] : pi_Arr1801471756t_bool(X72,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    inference(variable_rename,[status(thm)],[c_0_1633]) ).

fof(c_0_2513,plain,
    ! [X72] : pi_fun1555365306t_bool(X72,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    inference(variable_rename,[status(thm)],[c_0_1634]) ).

fof(c_0_2514,plain,
    ! [X72] : pi_Pro1873779901t_bool(X72,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    inference(variable_rename,[status(thm)],[c_0_1635]) ).

fof(c_0_2515,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(esk98_0),top_to207207712i_bool))
    & image_837079859di_nat(esk98_0,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1636])])]) ).

fof(c_0_2516,axiom,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    c_0_1637 ).

fof(c_0_2517,axiom,
    arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
    c_0_1638 ).

fof(c_0_2518,axiom,
    image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
    c_0_1639 ).

fof(c_0_2519,plain,
    ! [X3,X4] : is_fun1568535512t_bool(hAPP_P822772139t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1640]) ).

fof(c_0_2520,plain,
    ! [X3,X4] : is_fun2015243113i_bool(hAPP_P957402556i_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1641]) ).

fof(c_0_2521,plain,
    ! [X3,X4] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1642]) ).

fof(c_0_2522,plain,
    ! [X3,X4] : is_bool(hAPP_f557371893l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1643]) ).

fof(c_0_2523,plain,
    ! [X3,X4] : is_bool(hAPP_f817344902l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1644]) ).

fof(c_0_2524,plain,
    ! [X3,X4] : is_bool(hAPP_f1363425282l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1645]) ).

fof(c_0_2525,plain,
    ! [X3,X4] : is_bool(hAPP_f1384787615l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1646]) ).

fof(c_0_2526,plain,
    ! [X3,X4] : is_bool(hAPP_f560261801l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1647]) ).

fof(c_0_2527,plain,
    ! [X3,X4] : is_bool(hAPP_f1021828400l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1648]) ).

fof(c_0_2528,plain,
    ! [X3,X4] : is_bool(hAPP_f966397426l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1649]) ).

fof(c_0_2529,plain,
    ! [X3,X4] : is_bool(hAPP_f750478076l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1650]) ).

fof(c_0_2530,plain,
    ! [X3,X4] : is_bool(hAPP_f742658307l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1651]) ).

fof(c_0_2531,plain,
    ! [X3,X4] : is_bool(hAPP_f1082951236l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1652]) ).

fof(c_0_2532,plain,
    ! [X3,X4] : is_bool(hAPP_f1138659662l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1653]) ).

fof(c_0_2533,plain,
    ! [X3,X4] : is_bool(hAPP_f882250837l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1654]) ).

fof(c_0_2534,plain,
    ! [X3,X4] : is_bool(hAPP_f1117143157l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1655]) ).

fof(c_0_2535,plain,
    ! [X3,X4] : is_bool(hAPP_f1965705105l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1656]) ).

fof(c_0_2536,plain,
    ! [X3,X4] : is_bool(hAPP_f1597773170l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1657]) ).

fof(c_0_2537,plain,
    ! [X3,X4] : is_bool(hAPP_f866114756l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1658]) ).

fof(c_0_2538,plain,
    ! [X3,X4] : is_bool(hAPP_f339859954l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1659]) ).

fof(c_0_2539,plain,
    ! [X3,X4] : is_bool(hAPP_f537623936l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1660]) ).

fof(c_0_2540,plain,
    ! [X3,X4] : is_bool(hAPP_f1426445843l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1661]) ).

fof(c_0_2541,plain,
    ! [X3,X4] : is_bool(hAPP_f1637334154l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1662]) ).

fof(c_0_2542,plain,
    ! [X3,X4] : is_bool(hAPP_f1428735377l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1663]) ).

fof(c_0_2543,plain,
    ! [X3,X4] : is_bool(hAPP_f2053170815l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1664]) ).

fof(c_0_2544,plain,
    ! [X3,X4] : is_bool(hAPP_f937100551l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1665]) ).

fof(c_0_2545,plain,
    ! [X3,X4] : is_bool(hAPP_f740740988l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1666]) ).

fof(c_0_2546,plain,
    ! [X3,X4] : is_bool(hAPP_f620747982l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1667]) ).

fof(c_0_2547,plain,
    ! [X3,X4] : is_bool(hAPP_f67777128l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1668]) ).

fof(c_0_2548,plain,
    ! [X3,X4] : is_bool(hAPP_f1291635206l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1669]) ).

fof(c_0_2549,plain,
    ! [X3,X4] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1670]) ).

fof(c_0_2550,plain,
    ! [X3,X4] : is_fun2015243113i_bool(hAPP_f783549695i_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1671]) ).

fof(c_0_2551,plain,
    ! [X3,X4] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1672]) ).

fof(c_0_2552,plain,
    ! [X3,X4] : is_bool(hAPP_f2016919811l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1673]) ).

fof(c_0_2553,plain,
    ! [X3,X4] : is_bool(hAPP_f1898839893l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1674]) ).

fof(c_0_2554,plain,
    ! [X3,X4] : is_bool(hAPP_f599997089l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1675]) ).

fof(c_0_2555,plain,
    ! [X3,X4] : is_bool(hAPP_f54304608l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1676]) ).

fof(c_0_2556,plain,
    ! [X3,X4] : is_bool(hAPP_f387058535l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1677]) ).

fof(c_0_2557,plain,
    ! [X3,X4] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1678]) ).

fof(c_0_2558,plain,
    ! [X3,X4] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1679]) ).

fof(c_0_2559,plain,
    ! [X3,X4] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1680]) ).

fof(c_0_2560,plain,
    ! [X3,X4] : is_Arr859726945e_indi(hAPP_f350403485e_indi(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1681]) ).

fof(c_0_2561,plain,
    ! [X3,X4] : is_bool(hAPP_f212509069l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1682]) ).

fof(c_0_2562,plain,
    ! [X3,X4] : is_fun20916972t_bool(hAPP_P401722323t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1683]) ).

fof(c_0_2563,plain,
    ! [X3,X4] : is_fun1420103068l_bool(hAPP_P288224245l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1684]) ).

fof(c_0_2564,plain,
    ! [X3,X4] : is_fun292781289l_bool(hAPP_P1305865168l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1685]) ).

fof(c_0_2565,plain,
    ! [X3,X4] : is_fun701126715l_bool(hAPP_P667392034l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1686]) ).

fof(c_0_2566,plain,
    ! [X3,X4] : is_fun1568535512t_bool(hAPP_n454528608t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1687]) ).

fof(c_0_2567,plain,
    ! [X3,X4] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1688]) ).

fof(c_0_2568,plain,
    ! [X3,X4] : is_bool(hAPP_nat_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_1689]) ).

fof(c_0_2569,plain,
    ! [X5] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1690]) ).

fof(c_0_2570,plain,
    ! [X5] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1691]) ).

fof(c_0_2571,plain,
    ! [X5] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1692]) ).

fof(c_0_2572,plain,
    ! [X5] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1693]) ).

fof(c_0_2573,plain,
    ! [X5] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1694]) ).

fof(c_0_2574,plain,
    ! [X5] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1695]) ).

fof(c_0_2575,plain,
    ! [X5] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5)),
    inference(variable_rename,[status(thm)],[c_0_1696]) ).

fof(c_0_2576,axiom,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    c_0_1697 ).

fof(c_0_2577,axiom,
    top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
    c_0_1698 ).

fof(c_0_2578,axiom,
    top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
    c_0_1699 ).

fof(c_0_2579,axiom,
    top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
    c_0_1700 ).

fof(c_0_2580,axiom,
    top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
    c_0_1701 ).

fof(c_0_2581,axiom,
    top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
    c_0_1702 ).

fof(c_0_2582,axiom,
    top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
    c_0_1703 ).

fof(c_0_2583,axiom,
    top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
    c_0_1704 ).

fof(c_0_2584,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    c_0_1705 ).

fof(c_0_2585,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    c_0_1706 ).

fof(c_0_2586,plain,
    ! [X200] : X200 != hAPP_nat_nat(suc,X200),
    inference(variable_rename,[status(thm)],[c_0_1707]) ).

fof(c_0_2587,plain,
    ! [X200] : hAPP_nat_nat(suc,X200) != X200,
    inference(variable_rename,[status(thm)],[c_0_1708]) ).

fof(c_0_2588,plain,
    ! [X224] :
      ( X224 = zero_zero_nat
      | X224 = hAPP_nat_nat(suc,esk95_1(X224)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1709])])]) ).

fof(c_0_2589,plain,
    ! [X200] :
      ( X200 = zero_zero_nat
      | X200 = hAPP_nat_nat(suc,esk94_1(X200)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1710])])]) ).

fof(c_0_2590,plain,
    ! [X198] : zero_zero_nat != hAPP_nat_nat(suc,X198),
    inference(variable_rename,[status(thm)],[c_0_1711]) ).

fof(c_0_2591,plain,
    ! [X221] : zero_zero_nat != hAPP_nat_nat(suc,X221),
    inference(variable_rename,[status(thm)],[c_0_1712]) ).

fof(c_0_2592,plain,
    ! [X198] : hAPP_nat_nat(suc,X198) != zero_zero_nat,
    inference(variable_rename,[status(thm)],[c_0_1713]) ).

fof(c_0_2593,plain,
    ! [X220] : hAPP_nat_nat(suc,X220) != zero_zero_nat,
    inference(variable_rename,[status(thm)],[c_0_1714]) ).

fof(c_0_2594,plain,
    ! [X198] : zero_zero_nat != hAPP_nat_nat(suc,X198),
    inference(variable_rename,[status(thm)],[c_0_1715]) ).

fof(c_0_2595,plain,
    ! [X198] : hAPP_nat_nat(suc,X198) != zero_zero_nat,
    inference(variable_rename,[status(thm)],[c_0_1716]) ).

fof(c_0_2596,plain,
    ! [X2] :
      ( ~ is_fun20916972t_bool(X2)
      | is_fun20916972t_bool(collec1376511890le_alt(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1717])]) ).

fof(c_0_2597,plain,
    ! [X2] :
      ( ~ is_fun1420103068l_bool(X2)
      | is_fun1420103068l_bool(collec612883262t_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1718])]) ).

fof(c_0_2598,plain,
    ! [X2] :
      ( ~ is_fun292781289l_bool(X2)
      | is_fun292781289l_bool(collec1517527055t_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1719])]) ).

fof(c_0_2599,plain,
    ! [X2] :
      ( ~ is_fun701126715l_bool(X2)
      | is_fun701126715l_bool(collec1567922785t_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1720])]) ).

fof(c_0_2600,plain,
    ! [X2] :
      ( ~ is_fun1568535512t_bool(X2)
      | is_fun1568535512t_bool(collect_Product_unit(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1721])]) ).

fof(c_0_2601,plain,
    ! [X2] :
      ( ~ is_fun2015243113i_bool(X2)
      | is_fun2015243113i_bool(collec279390863e_indi(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1722])]) ).

fof(c_0_2602,plain,
    ! [X2] :
      ( ~ is_fun20916972t_bool(X2)
      | is_fun1420103068l_bool(inj_on398823523t_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1723])]) ).

fof(c_0_2603,plain,
    ! [X227] : hAPP_nat_nat(cOMBI_nat,X227) = X227,
    inference(variable_rename,[status(thm)],[c_0_1724]) ).

fof(c_0_2604,plain,
    ! [X10] :
      ( ~ is_fun2015243113i_bool(X10)
      | collec279390863e_indi(X10) = X10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1725])]) ).

fof(c_0_2605,plain,
    ! [X10] :
      ( ~ is_fun1568535512t_bool(X10)
      | collect_Product_unit(X10) = X10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1726])]) ).

fof(c_0_2606,axiom,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    c_0_1727 ).

fof(c_0_2607,plain,
    ! [X227] :
      ( ~ is_bool(X227)
      | X227 = fTrue
      | X227 = fFalse ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1728])]) ).

fof(c_0_2608,plain,
    ! [X227] :
      ( ~ is_bool(X227)
      | X227 = fTrue
      | X227 = fFalse ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1729])]) ).

fof(c_0_2609,axiom,
    is_bool(undefined_bool(bool)),
    c_0_1730 ).

fof(c_0_2610,axiom,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    c_0_1731 ).

fof(c_0_2611,axiom,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    c_0_1732 ).

fof(c_0_2612,plain,
    ! [X10] : collect_nat(X10) = X10,
    inference(variable_rename,[status(thm)],[c_0_1733]) ).

fof(c_0_2613,plain,
    ! [X5,X6] :
      ( ( one_one_nat != X5
        | X5 = one_one_nat )
      & ( X6 != one_one_nat
        | one_one_nat = X6 ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1734])])])]) ).

fof(c_0_2614,axiom,
    hBOOL(fTrue),
    c_0_1735 ).

fof(c_0_2615,axiom,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    c_0_1736 ).

fof(c_0_2616,axiom,
    is_Arr723427730le_alt(e),
    c_0_1737 ).

fof(c_0_2617,axiom,
    is_Arr723427730le_alt(b),
    c_0_1738 ).

fof(c_0_2618,axiom,
    is_Arr723427730le_alt(a),
    c_0_1739 ).

fof(c_0_2619,axiom,
    is_fun20916972t_bool(lba),
    c_0_1740 ).

fof(c_0_2620,axiom,
    is_fun20916972t_bool(lab),
    c_0_1741 ).

fof(c_0_2621,axiom,
    is_bool(fTrue),
    c_0_1742 ).

fof(c_0_2622,axiom,
    is_bool(fFalse),
    c_0_1743 ).

fof(c_0_2623,axiom,
    is_fun20916972t_bool(top_to1773227171t_bool),
    c_0_1744 ).

fof(c_0_2624,axiom,
    is_fun1420103068l_bool(top_to846262053l_bool),
    c_0_1745 ).

fof(c_0_2625,axiom,
    is_fun292781289l_bool(top_to1849101472l_bool),
    c_0_1746 ).

fof(c_0_2626,axiom,
    is_fun701126715l_bool(top_to935749874l_bool),
    c_0_1747 ).

fof(c_0_2627,axiom,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    c_0_1748 ).

fof(c_0_2628,axiom,
    is_fun2015243113i_bool(top_to207207712i_bool),
    c_0_1749 ).

fof(c_0_2629,axiom,
    is_bool(top_top_bool),
    c_0_1750 ).

fof(c_0_2630,axiom,
    is_fun1420103068l_bool(finite955821396le_alt),
    c_0_1751 ).

fof(c_0_2631,axiom,
    is_fun292781289l_bool(arrow_1550141362nimity),
    c_0_1752 ).

fof(c_0_2632,axiom,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    c_0_1753 ).

fof(c_0_2633,axiom,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    c_0_1754 ).

fof(c_0_2634,axiom,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    c_0_1755 ).

fof(c_0_2635,axiom,
    a != b,
    c_0_1756 ).

fof(c_0_2636,axiom,
    c != d,
    c_0_1757 ).

cnf(c_0_2637,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1758]) ).

cnf(c_0_2638,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2639,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2640,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2641,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2642,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1761]) ).

cnf(c_0_2643,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1761]) ).

cnf(c_0_2644,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1762]) ).

cnf(c_0_2645,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1758]) ).

cnf(c_0_2646,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2647,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2648,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2649,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2650,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1762]) ).

cnf(c_0_2651,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1763]) ).

cnf(c_0_2652,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
    inference(split_conjunct,[status(thm)],[c_0_1763]) ).

cnf(c_0_2653,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(split_conjunct,[status(thm)],[c_0_1764]) ).

cnf(c_0_2654,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(split_conjunct,[status(thm)],[c_0_1765]) ).

cnf(c_0_2655,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(split_conjunct,[status(thm)],[c_0_1766]) ).

cnf(c_0_2656,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    inference(split_conjunct,[status(thm)],[c_0_1767]) ).

cnf(c_0_2657,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk27_0),one_one_nat)))),lab)),lba)))),
    inference(split_conjunct,[status(thm)],[c_0_1768]) ).

cnf(c_0_2658,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk26_0),one_one_nat)))),lab)),lba)))),
    inference(split_conjunct,[status(thm)],[c_0_1769]) ).

cnf(c_0_2659,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    inference(split_conjunct,[status(thm)],[c_0_1770]) ).

cnf(c_0_2660,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2661,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2662,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2663,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2664,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk27_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_1768]) ).

cnf(c_0_2665,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk26_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_1769]) ).

cnf(c_0_2666,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1773]) ).

cnf(c_0_2667,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)),arrow_583275979e_Prof)),
    inference(split_conjunct,[status(thm)],[c_0_1774]) ).

cnf(c_0_2668,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2669,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2670,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2671,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2672,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1758]) ).

cnf(c_0_2673,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2674,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2675,plain,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2676,plain,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2677,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2678,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2679,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2680,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2681,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1776]) ).

cnf(c_0_2682,plain,
    ( hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1777]) ).

cnf(c_0_2683,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2684,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,esk14_4(X1,X2,X4,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2685,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2686,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2687,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2688,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2689,plain,
    ( is_Arr859726945e_indi(esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2690,plain,
    ( is_Arr859726945e_indi(esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2691,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2692,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2693,plain,
    ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1776]) ).

cnf(c_0_2694,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2695,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2696,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2697,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk56_3(X2,X3,X1))),hAPP_nat_nat(X1,esk57_3(X2,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1783]) ).

cnf(c_0_2698,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2699,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2700,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2701,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2702,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2703,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2704,plain,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1784]) ).

cnf(c_0_2705,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2706,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2707,plain,
    ( X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2708,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2709,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2710,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,esk59_3(X2,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1786]) ).

cnf(c_0_2711,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2712,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2713,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X2,esk46_3(X2,X3,X1))),hAPP_f1895971544l_bool(X3,esk46_3(X2,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1787]) ).

cnf(c_0_2714,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X2,esk45_3(X2,X3,X1))),hAPP_A659996934l_bool(X3,esk45_3(X2,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1788]) ).

cnf(c_0_2715,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X2,esk44_3(X2,X3,X1))),hAPP_P1122857141l_bool(X3,esk44_3(X2,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1789]) ).

cnf(c_0_2716,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2717,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2718,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2719,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk69_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,esk69_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1791]) ).

cnf(c_0_2720,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk68_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,esk68_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1792]) ).

cnf(c_0_2721,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk67_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,esk67_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1793]) ).

cnf(c_0_2722,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk36_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,esk36_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1794]) ).

cnf(c_0_2723,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk35_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,esk35_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1795]) ).

cnf(c_0_2724,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk34_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,esk34_3(X1,X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1796]) ).

cnf(c_0_2725,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2726,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2727,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2728,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2729,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2730,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2731,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2732,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2733,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2734,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2735,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2736,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2737,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2738,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2739,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2740,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2,X1)),esk24_2(X2,X1))),hAPP_f1817389232t_bool(X1,esk22_2(X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_2741,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2742,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2743,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2744,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2745,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2746,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2747,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2748,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2749,plain,
    ( X1 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2750,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2751,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2752,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2753,plain,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) != zero_zero_nat
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1801]) ).

cnf(c_0_2754,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2755,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2756,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2757,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2758,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2759,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2760,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2761,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2762,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2763,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2764,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2765,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2766,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2767,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2768,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2769,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk62_3(X1,X3,X2))),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1802]) ).

cnf(c_0_2770,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk61_3(X1,X3,X2))),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1803]) ).

cnf(c_0_2771,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk60_3(X1,X3,X2))),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1804]) ).

cnf(c_0_2772,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2773,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2774,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk56_3(X2,X3,X1)),esk57_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1783]) ).

cnf(c_0_2775,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2776,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2777,plain,
    ( X2 = X1
    | is_Arr859726945e_indi(esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2778,plain,
    ( X2 = X1
    | is_Arr859726945e_indi(esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2779,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2780,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2781,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2782,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2783,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2784,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2785,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2786,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2787,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2788,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2789,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2790,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2791,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2792,plain,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2793,plain,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2794,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2795,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2796,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2797,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2798,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2799,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2800,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2801,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2802,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2,X1)),esk24_2(X2,X1))),hAPP_A340536322t_bool(esk22_2(X2,X1),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_2803,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2804,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2805,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2806,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2807,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2808,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2809,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2810,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2811,plain,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2812,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2813,plain,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2814,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2815,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2816,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X1)),X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X2,X1)),hAPP_nat_nat(X1,esk80_2(X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1805]) ).

cnf(c_0_2817,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2818,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2819,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2820,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2821,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2822,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2823,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2824,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1806]) ).

cnf(c_0_2825,plain,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(split_conjunct,[status(thm)],[c_0_1807]) ).

cnf(c_0_2826,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2827,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2828,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2829,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2830,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2831,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2832,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2833,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2834,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2835,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2836,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(esk14_4(X1,X2,X4,X3))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2837,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk58_3(X2,X3,X1)),esk59_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1786]) ).

cnf(c_0_2838,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2839,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2840,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2841,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2842,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2843,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2844,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X1)),esk17_1(X1))),hAPP_f1817389232t_bool(X1,esk15_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2845,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk43_2(X1,X2))),hAPP_nat_bool(X2,esk43_2(X1,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1810]) ).

cnf(c_0_2846,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk28_2(X1,X2))),hAPP_nat_bool(X2,esk28_2(X1,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1811]) ).

cnf(c_0_2847,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X1),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))),
    inference(split_conjunct,[status(thm)],[c_0_1812]) ).

cnf(c_0_2848,plain,
    ( finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1813]) ).

cnf(c_0_2849,plain,
    ( finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1814]) ).

cnf(c_0_2850,plain,
    ( finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1815]) ).

cnf(c_0_2851,plain,
    ( finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1816]) ).

cnf(c_0_2852,plain,
    ( finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1817]) ).

cnf(c_0_2853,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2854,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1818]) ).

cnf(c_0_2855,plain,
    ( X1 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1819]) ).

cnf(c_0_2856,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1820]) ).

cnf(c_0_2857,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1821]) ).

cnf(c_0_2858,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1822]) ).

cnf(c_0_2859,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1823]) ).

cnf(c_0_2860,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1824]) ).

cnf(c_0_2861,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1825]) ).

cnf(c_0_2862,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1826]) ).

cnf(c_0_2863,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1827]) ).

cnf(c_0_2864,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1828]) ).

cnf(c_0_2865,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1829]) ).

cnf(c_0_2866,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2867,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2868,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(split_conjunct,[status(thm)],[c_0_1806]) ).

cnf(c_0_2869,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2870,plain,
    ( is_Arr859726945e_indi(esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2871,plain,
    ( is_Arr859726945e_indi(esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2872,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X2
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2873,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X2
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2874,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2875,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2876,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1830]) ).

cnf(c_0_2877,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1831]) ).

cnf(c_0_2878,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1832]) ).

cnf(c_0_2879,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1833]) ).

cnf(c_0_2880,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1834]) ).

cnf(c_0_2881,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1835]) ).

cnf(c_0_2882,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1836]) ).

cnf(c_0_2883,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1837]) ).

cnf(c_0_2884,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2885,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2886,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2887,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1838]) ).

cnf(c_0_2888,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1839]) ).

cnf(c_0_2889,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1840]) ).

cnf(c_0_2890,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1841]) ).

cnf(c_0_2891,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1842]) ).

cnf(c_0_2892,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1843]) ).

cnf(c_0_2893,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk46_3(X2,X3,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1787]) ).

cnf(c_0_2894,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk45_3(X2,X3,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1788]) ).

cnf(c_0_2895,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk44_3(X2,X3,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1789]) ).

cnf(c_0_2896,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2897,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2898,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2899,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk62_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1802]) ).

cnf(c_0_2900,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk61_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1803]) ).

cnf(c_0_2901,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk60_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1804]) ).

cnf(c_0_2902,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk88_3(X3,X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2903,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,esk88_3(X3,X1,X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2904,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2905,plain,
    ( hBOOL(in_rel1361124802le_alt(X1,X2,X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1845]) ).

cnf(c_0_2906,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1846]) ).

cnf(c_0_2907,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1847]) ).

cnf(c_0_2908,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1848]) ).

cnf(c_0_2909,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1849]) ).

cnf(c_0_2910,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1849]) ).

cnf(c_0_2911,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1850]) ).

cnf(c_0_2912,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1851]) ).

cnf(c_0_2913,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1852]) ).

cnf(c_0_2914,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1853]) ).

cnf(c_0_2915,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk69_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1791]) ).

cnf(c_0_2916,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk68_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1792]) ).

cnf(c_0_2917,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk67_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1793]) ).

cnf(c_0_2918,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk36_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1794]) ).

cnf(c_0_2919,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk35_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1795]) ).

cnf(c_0_2920,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk34_3(X1,X3,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1796]) ).

cnf(c_0_2921,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1854]) ).

cnf(c_0_2922,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1820]) ).

cnf(c_0_2923,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1855]) ).

cnf(c_0_2924,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1821]) ).

cnf(c_0_2925,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1822]) ).

cnf(c_0_2926,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1823]) ).

cnf(c_0_2927,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1856]) ).

cnf(c_0_2928,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1857]) ).

cnf(c_0_2929,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1826]) ).

cnf(c_0_2930,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1827]) ).

cnf(c_0_2931,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1858]) ).

cnf(c_0_2932,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1859]) ).

cnf(c_0_2933,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    inference(split_conjunct,[status(thm)],[c_0_1860]) ).

cnf(c_0_2934,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X1)),esk17_1(X1))),hAPP_A340536322t_bool(esk15_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2935,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2936,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2937,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_2938,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_2939,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1830]) ).

cnf(c_0_2940,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1831]) ).

cnf(c_0_2941,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1832]) ).

cnf(c_0_2942,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1833]) ).

cnf(c_0_2943,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1834]) ).

cnf(c_0_2944,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1835]) ).

cnf(c_0_2945,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1836]) ).

cnf(c_0_2946,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1837]) ).

cnf(c_0_2947,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,esk88_3(X3,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2948,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X2)),
    inference(split_conjunct,[status(thm)],[c_0_1863]) ).

cnf(c_0_2949,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1864]) ).

cnf(c_0_2950,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2951,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk22_2(X2,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_2952,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1865]) ).

cnf(c_0_2953,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1866]) ).

cnf(c_0_2954,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1867]) ).

cnf(c_0_2955,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1868]) ).

cnf(c_0_2956,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1869]) ).

cnf(c_0_2957,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),hAPP_f1895971544l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1870]) ).

cnf(c_0_2958,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),hAPP_A659996934l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1871]) ).

cnf(c_0_2959,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),hAPP_P1122857141l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1872]) ).

cnf(c_0_2960,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3,X1)),hAPP_A659996934l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1873]) ).

cnf(c_0_2961,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3,X1)),hAPP_f1895971544l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1874]) ).

cnf(c_0_2962,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X3,X1)),hAPP_n454528608t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X3),pi_nat_Product_unit(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1875]) ).

cnf(c_0_2963,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X3,X1)),hAPP_n1006566506l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X3),pi_nat_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1876]) ).

cnf(c_0_2964,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X3,X1)),hAPP_n1600508401i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X3),pi_nat1476290531e_indi(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1877]) ).

cnf(c_0_2965,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X3,X1)),hAPP_f649586561t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X3),pi_fun1012573681t_unit(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1878]) ).

cnf(c_0_2966,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X3,X1)),hAPP_f812095627l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X3),pi_fun568395771l_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1879]) ).

cnf(c_0_2967,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X3,X1)),hAPP_f431432850i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1880]) ).

cnf(c_0_2968,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X3,X1)),hAPP_f1841347694t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X3),pi_fun1390764464t_unit(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1881]) ).

cnf(c_0_2969,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X3,X1)),hAPP_f721327224l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X3),pi_fun187048122l_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1882]) ).

cnf(c_0_2970,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X3,X1)),hAPP_f783549695i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X3),pi_fun1353458625e_indi(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1883]) ).

cnf(c_0_2971,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X3,X1)),hAPP_f1009478556t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X3),pi_fun623621634t_unit(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1884]) ).

cnf(c_0_2972,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X3,X1)),hAPP_f591334822l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X3),pi_fun1236347660l_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1885]) ).

cnf(c_0_2973,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X3,X1)),hAPP_f1570138413i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X3),pi_fun268174099e_indi(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1886]) ).

cnf(c_0_2974,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X3,X1)),hAPP_P822772139t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X3),pi_Pro269694131t_unit(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1887]) ).

cnf(c_0_2975,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X3,X1)),hAPP_P957402556i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X3),pi_Pro58544964e_indi(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1888]) ).

cnf(c_0_2976,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X3,X1)),hAPP_P32877782t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X3),pi_Product_unit_nat(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1889]) ).

cnf(c_0_2977,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X3,X1)),hAPP_b1013836512t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X3),pi_bool_nat(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1890]) ).

cnf(c_0_2978,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X3,X1)),hAPP_A1948275303t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1891]) ).

cnf(c_0_2979,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X3,X1)),hAPP_P288224245l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X3),pi_Pro1925515229t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1892]) ).

cnf(c_0_2980,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X3,X1)),hAPP_b805997823l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X3),pi_boo1746012499t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1893]) ).

cnf(c_0_2981,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X3,X1)),hAPP_P1305865168l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X3),pi_Pro831923248t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1894]) ).

cnf(c_0_2982,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X3,X1)),hAPP_b651754310l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X3),pi_boo68262458t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1895]) ).

cnf(c_0_2983,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X3,X1)),hAPP_A955165183l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X3),pi_Arr742795713t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1896]) ).

cnf(c_0_2984,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X3,X1)),hAPP_P667392034l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X3),pi_Pro1114473858t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1897]) ).

cnf(c_0_2985,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X3,X1)),hAPP_b1461182872l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X3),pi_boo679625100t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1898]) ).

cnf(c_0_2986,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X3,X1)),hAPP_A701636433l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X3),pi_Arr656802323t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1899]) ).

cnf(c_0_2987,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X3,X1)),hAPP_P401722323t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X3),pi_Pro1208494515le_alt(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1900]) ).

cnf(c_0_2988,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X3,X1)),hAPP_b763490121t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1901]) ).

cnf(c_0_2989,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X3,X1)),hAPP_A340536322t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X3),pi_Arr1064242500le_alt(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1902]) ).

cnf(c_0_2990,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3,X1)),hAPP_P1122857141l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X2,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_1903]) ).

cnf(c_0_2991,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(in_rel1361124802le_alt(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1845]) ).

cnf(c_0_2992,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2993,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2994,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2995,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2996,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    inference(split_conjunct,[status(thm)],[c_0_1904]) ).

cnf(c_0_2997,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    inference(split_conjunct,[status(thm)],[c_0_1905]) ).

cnf(c_0_2998,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hAPP_A1895296483di_nat(X1,esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2999,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hAPP_A1895296483di_nat(X1,esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_3000,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hAPP_nat_nat(X1,esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_3001,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hAPP_nat_nat(X1,esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_3002,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_3003,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(split_conjunct,[status(thm)],[c_0_1907]) ).

cnf(c_0_3004,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(split_conjunct,[status(thm)],[c_0_1908]) ).

cnf(c_0_3005,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3006,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk82_2(X2,X1)),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_3007,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | esk23_2(X2,X1) != esk24_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_3008,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),esk25_2(X2,X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1911]) ).

cnf(c_0_3009,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(esk23_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_3010,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(esk24_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_3011,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk7_1(X1)),esk8_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_3012,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3013,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3014,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1913]) ).

cnf(c_0_3015,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1914]) ).

cnf(c_0_3016,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1915]) ).

cnf(c_0_3017,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))),
    inference(split_conjunct,[status(thm)],[c_0_1916]) ).

cnf(c_0_3018,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))),
    inference(split_conjunct,[status(thm)],[c_0_1917]) ).

cnf(c_0_3019,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1918]) ).

cnf(c_0_3020,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk93_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1919]) ).

cnf(c_0_3021,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1920]) ).

cnf(c_0_3022,plain,
    ( X1 = zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk87_2(X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_3023,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1922]) ).

cnf(c_0_3024,plain,
    ( X1 = X2
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1923]) ).

cnf(c_0_3025,plain,
    ( X2 = X3
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1924]) ).

cnf(c_0_3026,plain,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3027,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3028,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1926]) ).

cnf(c_0_3029,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1927]) ).

cnf(c_0_3030,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1928]) ).

cnf(c_0_3031,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1929]) ).

cnf(c_0_3032,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1930]) ).

cnf(c_0_3033,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1931]) ).

cnf(c_0_3034,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1932]) ).

cnf(c_0_3035,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1933]) ).

cnf(c_0_3036,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk97_2(X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1934]) ).

cnf(c_0_3037,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1935]) ).

cnf(c_0_3038,plain,
    ( X3 = X4
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1936]) ).

cnf(c_0_3039,plain,
    ( X2 = X3
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1937]) ).

cnf(c_0_3040,plain,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_3041,plain,
    ( hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1923]) ).

cnf(c_0_3042,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1939]) ).

cnf(c_0_3043,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1940]) ).

cnf(c_0_3044,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1941]) ).

cnf(c_0_3045,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1811]) ).

cnf(c_0_3046,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1942]) ).

cnf(c_0_3047,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1943]) ).

cnf(c_0_3048,plain,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3049,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | is_Arr859726945e_indi(esk45_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1788]) ).

cnf(c_0_3050,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1944]) ).

cnf(c_0_3051,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1945]) ).

cnf(c_0_3052,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1946]) ).

cnf(c_0_3053,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1947]) ).

cnf(c_0_3054,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1948]) ).

cnf(c_0_3055,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1949]) ).

cnf(c_0_3056,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1950]) ).

cnf(c_0_3057,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1951]) ).

cnf(c_0_3058,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1952]) ).

cnf(c_0_3059,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1953]) ).

cnf(c_0_3060,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1954]) ).

cnf(c_0_3061,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1955]) ).

cnf(c_0_3062,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1956]) ).

cnf(c_0_3063,plain,
    ( hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | X3 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1936]) ).

cnf(c_0_3064,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1914]) ).

cnf(c_0_3065,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1915]) ).

cnf(c_0_3066,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1957]) ).

cnf(c_0_3067,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | is_Arr859726945e_indi(esk61_3(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1803]) ).

cnf(c_0_3068,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),esk83_2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1958]) ).

cnf(c_0_3069,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),esk82_2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_3070,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_3071,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_3072,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),esk19_0)),
    inference(split_conjunct,[status(thm)],[c_0_1959]) ).

cnf(c_0_3073,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),esk18_0)),
    inference(split_conjunct,[status(thm)],[c_0_1960]) ).

cnf(c_0_3074,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    inference(split_conjunct,[status(thm)],[c_0_1961]) ).

cnf(c_0_3075,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    inference(split_conjunct,[status(thm)],[c_0_1962]) ).

cnf(c_0_3076,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1963]) ).

cnf(c_0_3077,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1964]) ).

cnf(c_0_3078,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1965]) ).

cnf(c_0_3079,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1966]) ).

cnf(c_0_3080,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1967]) ).

cnf(c_0_3081,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1968]) ).

cnf(c_0_3082,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1969]) ).

cnf(c_0_3083,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1970]) ).

cnf(c_0_3084,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1971]) ).

cnf(c_0_3085,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1972]) ).

cnf(c_0_3086,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1973]) ).

cnf(c_0_3087,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1974]) ).

cnf(c_0_3088,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1975]) ).

cnf(c_0_3089,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1976]) ).

cnf(c_0_3090,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1977]) ).

cnf(c_0_3091,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1978]) ).

cnf(c_0_3092,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1979]) ).

cnf(c_0_3093,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1980]) ).

cnf(c_0_3094,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1981]) ).

cnf(c_0_3095,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1982]) ).

cnf(c_0_3096,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1983]) ).

cnf(c_0_3097,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1984]) ).

cnf(c_0_3098,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1985]) ).

cnf(c_0_3099,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1986]) ).

cnf(c_0_3100,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1987]) ).

cnf(c_0_3101,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1988]) ).

cnf(c_0_3102,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1989]) ).

cnf(c_0_3103,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1990]) ).

cnf(c_0_3104,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1991]) ).

cnf(c_0_3105,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1992]) ).

cnf(c_0_3106,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1993]) ).

cnf(c_0_3107,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1994]) ).

cnf(c_0_3108,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1995]) ).

cnf(c_0_3109,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1996]) ).

cnf(c_0_3110,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1997]) ).

cnf(c_0_3111,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1998]) ).

cnf(c_0_3112,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1999]) ).

cnf(c_0_3113,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2000]) ).

cnf(c_0_3114,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2001]) ).

cnf(c_0_3115,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2002]) ).

cnf(c_0_3116,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2003]) ).

cnf(c_0_3117,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2004]) ).

cnf(c_0_3118,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2005]) ).

cnf(c_0_3119,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2006]) ).

cnf(c_0_3120,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2007]) ).

cnf(c_0_3121,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2008]) ).

cnf(c_0_3122,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2009]) ).

cnf(c_0_3123,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2010]) ).

cnf(c_0_3124,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2011]) ).

cnf(c_0_3125,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2012]) ).

cnf(c_0_3126,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2013]) ).

cnf(c_0_3127,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2014]) ).

cnf(c_0_3128,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2015]) ).

cnf(c_0_3129,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2016]) ).

cnf(c_0_3130,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2017]) ).

cnf(c_0_3131,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2018]) ).

cnf(c_0_3132,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2019]) ).

cnf(c_0_3133,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2020]) ).

cnf(c_0_3134,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2021]) ).

cnf(c_0_3135,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2022]) ).

cnf(c_0_3136,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2023]) ).

cnf(c_0_3137,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2024]) ).

cnf(c_0_3138,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2025]) ).

cnf(c_0_3139,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2026]) ).

cnf(c_0_3140,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2027]) ).

cnf(c_0_3141,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2028]) ).

cnf(c_0_3142,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2029]) ).

cnf(c_0_3143,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2030]) ).

cnf(c_0_3144,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2031]) ).

cnf(c_0_3145,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2032]) ).

cnf(c_0_3146,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2033]) ).

cnf(c_0_3147,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2034]) ).

cnf(c_0_3148,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2035]) ).

cnf(c_0_3149,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2036]) ).

cnf(c_0_3150,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2037]) ).

cnf(c_0_3151,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2038]) ).

cnf(c_0_3152,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2039]) ).

cnf(c_0_3153,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2040]) ).

cnf(c_0_3154,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2041]) ).

cnf(c_0_3155,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2042]) ).

cnf(c_0_3156,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2043]) ).

cnf(c_0_3157,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2044]) ).

cnf(c_0_3158,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2045]) ).

cnf(c_0_3159,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2046]) ).

cnf(c_0_3160,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2047]) ).

cnf(c_0_3161,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_2048]) ).

cnf(c_0_3162,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4),X2)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2049]) ).

cnf(c_0_3163,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_2050]) ).

cnf(c_0_3164,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk81_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2051]) ).

cnf(c_0_3165,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk79_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2052]) ).

cnf(c_0_3166,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk77_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2053]) ).

cnf(c_0_3167,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X1)),X2)),
    inference(split_conjunct,[status(thm)],[c_0_2054]) ).

cnf(c_0_3168,plain,
    ( X2 = hAPP_nat_nat(suc,esk93_2(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1919]) ).

cnf(c_0_3169,plain,
    ( X1 = hAPP_nat_nat(suc,esk91_2(X2,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2055]) ).

cnf(c_0_3170,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1)))),
    inference(split_conjunct,[status(thm)],[c_0_2056]) ).

cnf(c_0_3171,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1)))),
    inference(split_conjunct,[status(thm)],[c_0_2057]) ).

cnf(c_0_3172,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hAPP_nat_nat(suc,X1) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2058]) ).

cnf(c_0_3173,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3174,plain,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3175,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    inference(split_conjunct,[status(thm)],[c_0_2059]) ).

cnf(c_0_3176,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    inference(split_conjunct,[status(thm)],[c_0_2060]) ).

cnf(c_0_3177,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1944]) ).

cnf(c_0_3178,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1945]) ).

cnf(c_0_3179,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2061]) ).

cnf(c_0_3180,plain,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2062]) ).

cnf(c_0_3181,plain,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2063]) ).

cnf(c_0_3182,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(split_conjunct,[status(thm)],[c_0_2064]) ).

cnf(c_0_3183,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2065]) ).

cnf(c_0_3184,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2066]) ).

cnf(c_0_3185,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2067]) ).

cnf(c_0_3186,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2068]) ).

cnf(c_0_3187,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2069]) ).

cnf(c_0_3188,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2070]) ).

cnf(c_0_3189,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2071]) ).

cnf(c_0_3190,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2072]) ).

cnf(c_0_3191,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2073]) ).

cnf(c_0_3192,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_2074]) ).

cnf(c_0_3193,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2075]) ).

cnf(c_0_3194,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2076]) ).

cnf(c_0_3195,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_2077]) ).

cnf(c_0_3196,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2078]) ).

cnf(c_0_3197,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != hAPP_nat_nat(suc,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_3198,plain,
    ( hAPP_f1817389232t_bool(X1,X2) = hAPP_A340536322t_bool(X2,X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2079]) ).

cnf(c_0_3199,plain,
    ( X2 = hAPP_nat_nat(suc,X1)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk92_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2080]) ).

cnf(c_0_3200,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2081]) ).

cnf(c_0_3201,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2082]) ).

cnf(c_0_3202,plain,
    ( X1 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk89_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2083]) ).

cnf(c_0_3203,plain,
    ( X1 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk85_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2084]) ).

cnf(c_0_3204,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1926]) ).

cnf(c_0_3205,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1927]) ).

cnf(c_0_3206,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1928]) ).

cnf(c_0_3207,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1929]) ).

cnf(c_0_3208,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1930]) ).

cnf(c_0_3209,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1931]) ).

cnf(c_0_3210,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1932]) ).

cnf(c_0_3211,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1933]) ).

cnf(c_0_3212,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk83_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1958]) ).

cnf(c_0_3213,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk82_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_3214,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk6_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_3215,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2085]) ).

cnf(c_0_3216,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk33_2(X1,X2)),arrow_583275979e_Prof)) ),
    inference(split_conjunct,[status(thm)],[c_0_2079]) ).

cnf(c_0_3217,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4
    | hAPP_nat_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2086]) ).

cnf(c_0_3218,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk78_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2052]) ).

cnf(c_0_3219,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk76_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2053]) ).

cnf(c_0_3220,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3221,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3222,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_3223,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_3224,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2089]) ).

cnf(c_0_3225,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2089]) ).

cnf(c_0_3226,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2090]) ).

cnf(c_0_3227,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2090]) ).

cnf(c_0_3228,plain,
    ( hilber951314860di_nat(top_to207207712i_bool,X1) = X2
    | hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,esk38_2(X2,X1))) != esk38_2(X2,X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_fun1084921220e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2091]) ).

cnf(c_0_3229,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2048]) ).

cnf(c_0_3230,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2092]) ).

cnf(c_0_3231,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2093]) ).

cnf(c_0_3232,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2094]) ).

cnf(c_0_3233,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2095]) ).

cnf(c_0_3234,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1920]) ).

cnf(c_0_3235,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2096]) ).

cnf(c_0_3236,plain,
    ( hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2
    | hAPP_nat_nat(X1,hAPP_nat_nat(X2,esk37_2(X2,X1))) != esk37_2(X2,X1)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2097]) ).

cnf(c_0_3237,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2098]) ).

cnf(c_0_3238,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2099]) ).

cnf(c_0_3239,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2100]) ).

cnf(c_0_3240,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2101]) ).

cnf(c_0_3241,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2102]) ).

cnf(c_0_3242,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2103]) ).

cnf(c_0_3243,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2104]) ).

cnf(c_0_3244,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2105]) ).

cnf(c_0_3245,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2106]) ).

cnf(c_0_3246,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2107]) ).

cnf(c_0_3247,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2108]) ).

cnf(c_0_3248,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2077]) ).

cnf(c_0_3249,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2109]) ).

cnf(c_0_3250,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2110]) ).

cnf(c_0_3251,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2076]) ).

cnf(c_0_3252,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2111]) ).

cnf(c_0_3253,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2063]) ).

cnf(c_0_3254,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk84_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2112]) ).

cnf(c_0_3255,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2065]) ).

cnf(c_0_3256,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2066]) ).

cnf(c_0_3257,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2067]) ).

cnf(c_0_3258,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2113]) ).

cnf(c_0_3259,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2068]) ).

cnf(c_0_3260,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2069]) ).

cnf(c_0_3261,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2070]) ).

cnf(c_0_3262,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2071]) ).

cnf(c_0_3263,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2072]) ).

cnf(c_0_3264,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2114]) ).

cnf(c_0_3265,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2115]) ).

cnf(c_0_3266,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2116]) ).

cnf(c_0_3267,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2117]) ).

cnf(c_0_3268,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2118]) ).

cnf(c_0_3269,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2119]) ).

cnf(c_0_3270,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2120]) ).

cnf(c_0_3271,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2121]) ).

cnf(c_0_3272,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2122]) ).

cnf(c_0_3273,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2123]) ).

cnf(c_0_3274,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2124]) ).

cnf(c_0_3275,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2125]) ).

cnf(c_0_3276,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2126]) ).

cnf(c_0_3277,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2127]) ).

cnf(c_0_3278,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2128]) ).

cnf(c_0_3279,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2129]) ).

cnf(c_0_3280,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2130]) ).

cnf(c_0_3281,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2131]) ).

cnf(c_0_3282,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2132]) ).

cnf(c_0_3283,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2133]) ).

cnf(c_0_3284,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2134]) ).

cnf(c_0_3285,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2135]) ).

cnf(c_0_3286,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2136]) ).

cnf(c_0_3287,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(esk68_3(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1792]) ).

cnf(c_0_3288,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(esk35_3(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1795]) ).

cnf(c_0_3289,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_3290,plain,
    ( X1 = zero_zero_nat
    | X1 = hAPP_nat_nat(suc,esk87_2(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_3291,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2137]) ).

cnf(c_0_3292,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2138]) ).

cnf(c_0_3293,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk72_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3294,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk73_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3295,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk70_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_3296,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk71_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_3297,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk31_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3298,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk32_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3299,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk29_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_3300,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk30_2(X1,X2)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_3301,plain,
    ( is_Arr859726945e_indi(esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_3302,plain,
    ( is_Arr859726945e_indi(esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_3303,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_2141]) ).

cnf(c_0_3304,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))),
    inference(split_conjunct,[status(thm)],[c_0_2142]) ).

cnf(c_0_3305,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),
    inference(split_conjunct,[status(thm)],[c_0_2143]) ).

cnf(c_0_3306,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat))),
    inference(split_conjunct,[status(thm)],[c_0_2144]) ).

cnf(c_0_3307,plain,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2145]) ).

cnf(c_0_3308,plain,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2146]) ).

cnf(c_0_3309,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2147]) ).

cnf(c_0_3310,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2148]) ).

cnf(c_0_3311,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2149]) ).

cnf(c_0_3312,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2150]) ).

cnf(c_0_3313,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2151]) ).

cnf(c_0_3314,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2152]) ).

cnf(c_0_3315,plain,
    ( X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2153]) ).

cnf(c_0_3316,plain,
    ( X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2154]) ).

cnf(c_0_3317,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2155]) ).

cnf(c_0_3318,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2156]) ).

cnf(c_0_3319,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2157]) ).

cnf(c_0_3320,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2158]) ).

cnf(c_0_3321,plain,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2159]) ).

cnf(c_0_3322,plain,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2160]) ).

cnf(c_0_3323,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2161]) ).

cnf(c_0_3324,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2162]) ).

cnf(c_0_3325,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2084]) ).

cnf(c_0_3326,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2145]) ).

cnf(c_0_3327,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2146]) ).

cnf(c_0_3328,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2147]) ).

cnf(c_0_3329,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2148]) ).

cnf(c_0_3330,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2159]) ).

cnf(c_0_3331,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2160]) ).

cnf(c_0_3332,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2161]) ).

cnf(c_0_3333,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2162]) ).

cnf(c_0_3334,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_3335,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2163]) ).

cnf(c_0_3336,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2164]) ).

cnf(c_0_3337,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2165]) ).

cnf(c_0_3338,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2166]) ).

cnf(c_0_3339,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2167]) ).

cnf(c_0_3340,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2167]) ).

cnf(c_0_3341,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2168]) ).

cnf(c_0_3342,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2168]) ).

cnf(c_0_3343,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2169]) ).

cnf(c_0_3344,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2169]) ).

cnf(c_0_3345,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2170]) ).

cnf(c_0_3346,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2170]) ).

cnf(c_0_3347,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2171]) ).

cnf(c_0_3348,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2171]) ).

cnf(c_0_3349,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3350,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3351,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3352,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3353,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk81_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2051]) ).

cnf(c_0_3354,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk79_2(X1,X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2052]) ).

cnf(c_0_3355,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_2(X1,X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2053]) ).

cnf(c_0_3356,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_3357,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2163]) ).

cnf(c_0_3358,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2164]) ).

cnf(c_0_3359,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2165]) ).

cnf(c_0_3360,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2166]) ).

cnf(c_0_3361,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hAPP_f1817389232t_bool(X1,esk33_2(X1,X2)) != hAPP_A340536322t_bool(esk33_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2079]) ).

cnf(c_0_3362,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2075]) ).

cnf(c_0_3363,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2103]) ).

cnf(c_0_3364,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2104]) ).

cnf(c_0_3365,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2174]) ).

cnf(c_0_3366,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2175]) ).

cnf(c_0_3367,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2176]) ).

cnf(c_0_3368,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2177]) ).

cnf(c_0_3369,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2178]) ).

cnf(c_0_3370,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2179]) ).

cnf(c_0_3371,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2180]) ).

cnf(c_0_3372,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2181]) ).

cnf(c_0_3373,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2182]) ).

cnf(c_0_3374,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2183]) ).

cnf(c_0_3375,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2184]) ).

cnf(c_0_3376,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2185]) ).

cnf(c_0_3377,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2186]) ).

cnf(c_0_3378,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2187]) ).

cnf(c_0_3379,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2188]) ).

cnf(c_0_3380,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2189]) ).

cnf(c_0_3381,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2190]) ).

cnf(c_0_3382,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2191]) ).

cnf(c_0_3383,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2192]) ).

cnf(c_0_3384,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2193]) ).

cnf(c_0_3385,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2194]) ).

cnf(c_0_3386,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2195]) ).

cnf(c_0_3387,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2196]) ).

cnf(c_0_3388,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2197]) ).

cnf(c_0_3389,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2198]) ).

cnf(c_0_3390,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2199]) ).

cnf(c_0_3391,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2200]) ).

cnf(c_0_3392,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2201]) ).

cnf(c_0_3393,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2202]) ).

cnf(c_0_3394,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2203]) ).

cnf(c_0_3395,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2204]) ).

cnf(c_0_3396,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2205]) ).

cnf(c_0_3397,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2206]) ).

cnf(c_0_3398,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2207]) ).

cnf(c_0_3399,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2208]) ).

cnf(c_0_3400,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2209]) ).

cnf(c_0_3401,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2096]) ).

cnf(c_0_3402,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2210]) ).

cnf(c_0_3403,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2211]) ).

cnf(c_0_3404,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2212]) ).

cnf(c_0_3405,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2213]) ).

cnf(c_0_3406,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2214]) ).

cnf(c_0_3407,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2215]) ).

cnf(c_0_3408,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2216]) ).

cnf(c_0_3409,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2217]) ).

cnf(c_0_3410,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2218]) ).

cnf(c_0_3411,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2050]) ).

cnf(c_0_3412,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2219]) ).

cnf(c_0_3413,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2220]) ).

cnf(c_0_3414,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2221]) ).

cnf(c_0_3415,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2222]) ).

cnf(c_0_3416,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2223]) ).

cnf(c_0_3417,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2200]) ).

cnf(c_0_3418,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2201]) ).

cnf(c_0_3419,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2224]) ).

cnf(c_0_3420,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2225]) ).

cnf(c_0_3421,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2226]) ).

cnf(c_0_3422,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2202]) ).

cnf(c_0_3423,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2203]) ).

cnf(c_0_3424,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2065]) ).

cnf(c_0_3425,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2066]) ).

cnf(c_0_3426,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2067]) ).

cnf(c_0_3427,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2227]) ).

cnf(c_0_3428,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2228]) ).

cnf(c_0_3429,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2229]) ).

cnf(c_0_3430,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2230]) ).

cnf(c_0_3431,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2231]) ).

cnf(c_0_3432,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2215]) ).

cnf(c_0_3433,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2216]) ).

cnf(c_0_3434,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3435,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2068]) ).

cnf(c_0_3436,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2069]) ).

cnf(c_0_3437,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2070]) ).

cnf(c_0_3438,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2071]) ).

cnf(c_0_3439,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2072]) ).

cnf(c_0_3440,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2217]) ).

cnf(c_0_3441,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2218]) ).

cnf(c_0_3442,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3443,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    inference(split_conjunct,[status(thm)],[c_0_2232]) ).

cnf(c_0_3444,plain,
    ( X2 = X1
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk25_2(X2,X1)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1911]) ).

cnf(c_0_3445,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk84_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2112]) ).

cnf(c_0_3446,plain,
    ( X1 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk55_2(X2,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2233]) ).

cnf(c_0_3447,plain,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_2234]) ).

cnf(c_0_3448,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk96_1(X1))))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2235]) ).

cnf(c_0_3449,plain,
    ( X2 = hAPP_nat_nat(suc,X1)
    | X2 = hAPP_nat_nat(suc,esk92_2(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2080]) ).

cnf(c_0_3450,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_2236]) ).

cnf(c_0_3451,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,esk83_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1958]) ).

cnf(c_0_3452,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2214]) ).

cnf(c_0_3453,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,esk97_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_1934]) ).

cnf(c_0_3454,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2237]) ).

cnf(c_0_3455,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2238]) ).

cnf(c_0_3456,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2239]) ).

cnf(c_0_3457,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2116]) ).

cnf(c_0_3458,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2240]) ).

cnf(c_0_3459,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2182]) ).

cnf(c_0_3460,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2241]) ).

cnf(c_0_3461,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2242]) ).

cnf(c_0_3462,plain,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1))) = hAPP_nat_nat(suc,X1),
    inference(split_conjunct,[status(thm)],[c_0_2243]) ).

cnf(c_0_3463,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2244]) ).

cnf(c_0_3464,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2245]) ).

cnf(c_0_3465,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2246]) ).

cnf(c_0_3466,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2247]) ).

cnf(c_0_3467,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2114]) ).

cnf(c_0_3468,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2115]) ).

cnf(c_0_3469,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2248]) ).

cnf(c_0_3470,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2249]) ).

cnf(c_0_3471,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2250]) ).

cnf(c_0_3472,plain,
    ( hBOOL(hAPP_f1733357041l_bool(X1,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2251]) ).

cnf(c_0_3473,plain,
    ( hBOOL(hAPP_f446648900l_bool(X1,X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2252]) ).

cnf(c_0_3474,plain,
    ( hBOOL(hAPP_f1378099862l_bool(X1,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2253]) ).

cnf(c_0_3475,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2254]) ).

cnf(c_0_3476,plain,
    ( hBOOL(hAPP_P1676879539t_bool(X1,X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2255]) ).

cnf(c_0_3477,plain,
    ( hBOOL(hAPP_bool_bool(X1,X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2256]) ).

cnf(c_0_3478,plain,
    ( hBOOL(hAPP_A416869060i_bool(X1,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2257]) ).

cnf(c_0_3479,plain,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2258]) ).

cnf(c_0_3480,plain,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2258]) ).

cnf(c_0_3481,plain,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2259]) ).

cnf(c_0_3482,plain,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2259]) ).

cnf(c_0_3483,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_2260]) ).

cnf(c_0_3484,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != hAPP_nat_nat(suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2063]) ).

cnf(c_0_3485,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2261]) ).

cnf(c_0_3486,plain,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1))) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2262]) ).

cnf(c_0_3487,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,esk96_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_2235]) ).

cnf(c_0_3488,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2147]) ).

cnf(c_0_3489,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2148]) ).

cnf(c_0_3490,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2161]) ).

cnf(c_0_3491,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2162]) ).

cnf(c_0_3492,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2233]) ).

cnf(c_0_3493,plain,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    inference(split_conjunct,[status(thm)],[c_0_2263]) ).

cnf(c_0_3494,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3495,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),hAPP_A1895296483di_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2264]) ).

cnf(c_0_3496,plain,
    ( is_bool(in_rel1361124802le_alt(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2265]) ).

cnf(c_0_3497,plain,
    ( is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2266]) ).

cnf(c_0_3498,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3
    | hAPP_A1895296483di_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2267]) ).

cnf(c_0_3499,plain,
    ( X1 = hAPP_nat_nat(suc,esk90_1(X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2268]) ).

cnf(c_0_3500,plain,
    ( X1 = hAPP_nat_nat(suc,esk86_1(X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2269]) ).

cnf(c_0_3501,plain,
    ( hBOOL(X2)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3502,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3503,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2271]) ).

cnf(c_0_3504,plain,
    hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X1),X2),X3) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2272]) ).

cnf(c_0_3505,plain,
    hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X1),X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2273]) ).

cnf(c_0_3506,plain,
    hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X1),X2),X3) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2274]) ).

cnf(c_0_3507,plain,
    hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X1),X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2275]) ).

cnf(c_0_3508,plain,
    hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X1),X2),X3) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2276]) ).

cnf(c_0_3509,plain,
    hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X1),X2),X3) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2277]) ).

cnf(c_0_3510,plain,
    hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2278]) ).

cnf(c_0_3511,plain,
    hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X1),X2),X3) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2279]) ).

cnf(c_0_3512,plain,
    hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X1),X2),X3) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2280]) ).

cnf(c_0_3513,plain,
    hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2281]) ).

cnf(c_0_3514,plain,
    hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X1),X2),X3) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2282]) ).

cnf(c_0_3515,plain,
    hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X1),X2),X3) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2283]) ).

cnf(c_0_3516,plain,
    hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_A1948275303t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2284]) ).

cnf(c_0_3517,plain,
    hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X1),X2),X3) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2285]) ).

cnf(c_0_3518,plain,
    hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X1),X2),X3) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2286]) ).

cnf(c_0_3519,plain,
    hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2287]) ).

cnf(c_0_3520,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X1),X2),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_2288]) ).

cnf(c_0_3521,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2076]) ).

cnf(c_0_3522,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk15_1(X1)),arrow_583275979e_Prof)) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_3523,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk10_1(X1)),arrow_583275979e_Prof)) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_3524,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk11_1(X1)),arrow_583275979e_Prof)) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_3525,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2289]) ).

cnf(c_0_3526,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2290]) ).

cnf(c_0_3527,plain,
    ( ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2291]) ).

cnf(c_0_3528,plain,
    ( ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2292]) ).

cnf(c_0_3529,plain,
    ( ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2293]) ).

cnf(c_0_3530,plain,
    ( ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2294]) ).

cnf(c_0_3531,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2295]) ).

cnf(c_0_3532,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2296]) ).

cnf(c_0_3533,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_3534,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X2) = X3
    | hAPP_nat_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2297]) ).

cnf(c_0_3535,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2250]) ).

cnf(c_0_3536,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2251]) ).

cnf(c_0_3537,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f446648900l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2252]) ).

cnf(c_0_3538,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1378099862l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2253]) ).

cnf(c_0_3539,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2254]) ).

cnf(c_0_3540,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_P1676879539t_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2255]) ).

cnf(c_0_3541,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2256]) ).

cnf(c_0_3542,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_A416869060i_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2257]) ).

cnf(c_0_3543,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2201]) ).

cnf(c_0_3544,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2298]) ).

cnf(c_0_3545,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2299]) ).

cnf(c_0_3546,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2238]) ).

cnf(c_0_3547,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2238]) ).

cnf(c_0_3548,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2203]) ).

cnf(c_0_3549,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2217]) ).

cnf(c_0_3550,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2218]) ).

cnf(c_0_3551,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2239]) ).

cnf(c_0_3552,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2239]) ).

cnf(c_0_3553,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2116]) ).

cnf(c_0_3554,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2300]) ).

cnf(c_0_3555,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2301]) ).

cnf(c_0_3556,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2302]) ).

cnf(c_0_3557,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2303]) ).

cnf(c_0_3558,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2304]) ).

cnf(c_0_3559,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2305]) ).

cnf(c_0_3560,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2306]) ).

cnf(c_0_3561,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2307]) ).

cnf(c_0_3562,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2308]) ).

cnf(c_0_3563,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2309]) ).

cnf(c_0_3564,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2310]) ).

cnf(c_0_3565,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2311]) ).

cnf(c_0_3566,plain,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2312]) ).

cnf(c_0_3567,plain,
    ( X2 = X1
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2313]) ).

cnf(c_0_3568,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,esk72_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk73_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3569,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,esk70_2(X1,X2)) = hAPP_nat_nat(X1,esk71_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_3570,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,esk31_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk32_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3571,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,esk29_2(X1,X2)) = hAPP_nat_nat(X1,esk30_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_3572,plain,
    ( hBOOL(top_top_bool)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3573,plain,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2314]) ).

cnf(c_0_3574,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2315]) ).

cnf(c_0_3575,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))),
    inference(split_conjunct,[status(thm)],[c_0_2316]) ).

cnf(c_0_3576,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2317]) ).

cnf(c_0_3577,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2318]) ).

cnf(c_0_3578,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2319]) ).

cnf(c_0_3579,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2320]) ).

cnf(c_0_3580,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2321]) ).

cnf(c_0_3581,plain,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2322]) ).

cnf(c_0_3582,plain,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2323]) ).

cnf(c_0_3583,plain,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2324]) ).

cnf(c_0_3584,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2317]) ).

cnf(c_0_3585,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2318]) ).

cnf(c_0_3586,plain,
    ( X1 = top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2325]) ).

cnf(c_0_3587,plain,
    ( X1 = top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2326]) ).

cnf(c_0_3588,plain,
    ( X1 = top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2327]) ).

cnf(c_0_3589,plain,
    ( X1 = top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2328]) ).

cnf(c_0_3590,plain,
    ( X1 = top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2329]) ).

cnf(c_0_3591,plain,
    ( X1 = top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2330]) ).

cnf(c_0_3592,plain,
    ( X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2331]) ).

cnf(c_0_3593,plain,
    ( X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2332]) ).

cnf(c_0_3594,plain,
    ( X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2333]) ).

cnf(c_0_3595,plain,
    ( X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2334]) ).

cnf(c_0_3596,plain,
    ( X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2335]) ).

cnf(c_0_3597,plain,
    ( X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2336]) ).

cnf(c_0_3598,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2337]) ).

cnf(c_0_3599,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2338]) ).

cnf(c_0_3600,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2339]) ).

cnf(c_0_3601,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2340]) ).

cnf(c_0_3602,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2341]) ).

cnf(c_0_3603,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2342]) ).

cnf(c_0_3604,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2343]) ).

cnf(c_0_3605,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat)))
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2234]) ).

cnf(c_0_3606,plain,
    ( X1 != top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2344]) ).

cnf(c_0_3607,plain,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_2345]) ).

cnf(c_0_3608,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
    inference(split_conjunct,[status(thm)],[c_0_2346]) ).

cnf(c_0_3609,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(split_conjunct,[status(thm)],[c_0_2347]) ).

cnf(c_0_3610,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(split_conjunct,[status(thm)],[c_0_2348]) ).

cnf(c_0_3611,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(split_conjunct,[status(thm)],[c_0_2349]) ).

cnf(c_0_3612,plain,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2350]) ).

cnf(c_0_3613,plain,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2351]) ).

cnf(c_0_3614,plain,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2352]) ).

cnf(c_0_3615,plain,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2353]) ).

cnf(c_0_3616,plain,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2354]) ).

cnf(c_0_3617,plain,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2355]) ).

cnf(c_0_3618,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2356]) ).

cnf(c_0_3619,plain,
    ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2357]) ).

cnf(c_0_3620,plain,
    ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2358]) ).

cnf(c_0_3621,plain,
    ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2359]) ).

cnf(c_0_3622,plain,
    ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2360]) ).

cnf(c_0_3623,plain,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2258]) ).

cnf(c_0_3624,plain,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),top_top_fun_nat_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_2361]) ).

cnf(c_0_3625,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2362]) ).

cnf(c_0_3626,plain,
    ( hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2313]) ).

cnf(c_0_3627,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | is_fun20916972t_bool(esk51_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1929]) ).

cnf(c_0_3628,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | is_Arr859726945e_indi(esk49_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1931]) ).

cnf(c_0_3629,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | is_bool(esk47_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1933]) ).

cnf(c_0_3630,plain,
    hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X1,X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2363]) ).

cnf(c_0_3631,plain,
    hAPP_A340536322t_bool(cOMBS_178315313t_bool(X1,X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2364]) ).

cnf(c_0_3632,plain,
    hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X3),hAPP_nat_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2365]) ).

cnf(c_0_3633,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_2366]) ).

cnf(c_0_3634,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3635,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3636,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2145]) ).

cnf(c_0_3637,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2146]) ).

cnf(c_0_3638,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2159]) ).

cnf(c_0_3639,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2160]) ).

cnf(c_0_3640,plain,
    ( hAPP_nat_nat(X1,X2) = hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2362]) ).

cnf(c_0_3641,plain,
    hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X1),X2),X3) = hAPP_b910261233t_bool(X1,hAPP_A416869060i_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2369]) ).

cnf(c_0_3642,plain,
    hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X1),X2),X3) = hAPP_f372913425t_bool(X1,hAPP_A643475905l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2370]) ).

cnf(c_0_3643,plain,
    hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X1),X2),X3) = hAPP_f684072049t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2371]) ).

cnf(c_0_3644,plain,
    hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X1),X2),X3) = hAPP_f1656652505l_bool(X1,hAPP_A1171966089le_alt(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2372]) ).

cnf(c_0_3645,plain,
    hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X1),X2),X3) = hAPP_f102394819t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2373]) ).

cnf(c_0_3646,plain,
    hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X1),X2),X3) = hAPP_P1151433609l_bool(X1,hAPP_A1561816353le_alt(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2374]) ).

cnf(c_0_3647,plain,
    hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A1895296483di_nat(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2375]) ).

cnf(c_0_3648,plain,
    hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X1),X2),X3) = hAPP_n215258509l_bool(X1,hAPP_nat_nat(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2376]) ).

cnf(c_0_3649,plain,
    hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2377]) ).

cnf(c_0_3650,plain,
    hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_2378]) ).

cnf(c_0_3651,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 != hAPP_nat_nat(suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2269]) ).

cnf(c_0_3652,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2379]) ).

cnf(c_0_3653,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3654,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3655,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3656,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2380]) ).

cnf(c_0_3657,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3658,plain,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3659,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3660,plain,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3661,plain,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X1),X2) = X2
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2381]) ).

cnf(c_0_3662,plain,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2382]) ).

cnf(c_0_3663,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | esk72_2(X1,X2) != esk73_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3664,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | esk70_2(X1,X2) != esk71_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_3665,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | esk31_2(X1,X2) != esk32_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3666,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | esk29_2(X1,X2) != esk30_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_3667,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3668,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3669,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3670,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2380]) ).

cnf(c_0_3671,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3672,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(X1)
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3673,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2318]) ).

cnf(c_0_3674,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
    | X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2289]) ).

cnf(c_0_3675,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
    | X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2290]) ).

cnf(c_0_3676,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
    | X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2291]) ).

cnf(c_0_3677,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
    | X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2292]) ).

cnf(c_0_3678,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
    | X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2293]) ).

cnf(c_0_3679,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
    | X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2294]) ).

cnf(c_0_3680,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,esk41_1(X1)) = hAPP_A1895296483di_nat(X1,esk42_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2383]) ).

cnf(c_0_3681,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,esk39_1(X1)) = hAPP_nat_nat(X1,esk40_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2384]) ).

cnf(c_0_3682,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2385]) ).

cnf(c_0_3683,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2222]) ).

cnf(c_0_3684,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2200]) ).

cnf(c_0_3685,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2386]) ).

cnf(c_0_3686,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2099]) ).

cnf(c_0_3687,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2099]) ).

cnf(c_0_3688,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2387]) ).

cnf(c_0_3689,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2388]) ).

cnf(c_0_3690,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2389]) ).

cnf(c_0_3691,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2389]) ).

cnf(c_0_3692,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2202]) ).

cnf(c_0_3693,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2215]) ).

cnf(c_0_3694,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2216]) ).

cnf(c_0_3695,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2101]) ).

cnf(c_0_3696,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2101]) ).

cnf(c_0_3697,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2102]) ).

cnf(c_0_3698,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2102]) ).

cnf(c_0_3699,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2390]) ).

cnf(c_0_3700,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2391]) ).

cnf(c_0_3701,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2331]) ).

cnf(c_0_3702,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2332]) ).

cnf(c_0_3703,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2333]) ).

cnf(c_0_3704,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2334]) ).

cnf(c_0_3705,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2335]) ).

cnf(c_0_3706,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2336]) ).

cnf(c_0_3707,plain,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3708,plain,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3709,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool)
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2318]) ).

cnf(c_0_3710,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2337]) ).

cnf(c_0_3711,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2338]) ).

cnf(c_0_3712,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2339]) ).

cnf(c_0_3713,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2340]) ).

cnf(c_0_3714,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2392]) ).

cnf(c_0_3715,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2393]) ).

cnf(c_0_3716,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk27_0),finite354462354e_indi(top_to207207712i_bool))),
    inference(split_conjunct,[status(thm)],[c_0_1768]) ).

cnf(c_0_3717,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk26_0),finite354462354e_indi(top_to207207712i_bool))),
    inference(split_conjunct,[status(thm)],[c_0_1769]) ).

cnf(c_0_3718,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2394]) ).

cnf(c_0_3719,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2395]) ).

cnf(c_0_3720,plain,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2396]) ).

cnf(c_0_3721,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    inference(split_conjunct,[status(thm)],[c_0_2397]) ).

cnf(c_0_3722,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2345]) ).

cnf(c_0_3723,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool))
    | X1 = top_top_fun_nat_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2344]) ).

cnf(c_0_3724,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_2398]) ).

cnf(c_0_3725,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk72_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3726,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk73_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3727,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2399]) ).

cnf(c_0_3728,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2400]) ).

cnf(c_0_3729,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2401]) ).

cnf(c_0_3730,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2402]) ).

cnf(c_0_3731,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2403]) ).

cnf(c_0_3732,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2404]) ).

cnf(c_0_3733,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2405]) ).

cnf(c_0_3734,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk31_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3735,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk32_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_3736,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2406]) ).

cnf(c_0_3737,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2407]) ).

cnf(c_0_3738,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2408]) ).

cnf(c_0_3739,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2409]) ).

cnf(c_0_3740,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2410]) ).

cnf(c_0_3741,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2411]) ).

cnf(c_0_3742,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2412]) ).

cnf(c_0_3743,plain,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),top_top_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2413]) ).

cnf(c_0_3744,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2414]) ).

cnf(c_0_3745,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2415]) ).

cnf(c_0_3746,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2416]) ).

cnf(c_0_3747,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2417]) ).

cnf(c_0_3748,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2418]) ).

cnf(c_0_3749,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2419]) ).

cnf(c_0_3750,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2420]) ).

cnf(c_0_3751,plain,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2421]) ).

cnf(c_0_3752,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2422]) ).

cnf(c_0_3753,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2423]) ).

cnf(c_0_3754,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2424]) ).

cnf(c_0_3755,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2425]) ).

cnf(c_0_3756,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2426]) ).

cnf(c_0_3757,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2427]) ).

cnf(c_0_3758,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2428]) ).

cnf(c_0_3759,plain,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2429]) ).

cnf(c_0_3760,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
    | X1 != top_top_fun_nat_bool ),
    inference(split_conjunct,[status(thm)],[c_0_2352]) ).

cnf(c_0_3761,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2350]) ).

cnf(c_0_3762,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2430]) ).

cnf(c_0_3763,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2431]) ).

cnf(c_0_3764,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2432]) ).

cnf(c_0_3765,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3766,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3767,plain,
    ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3768,plain,
    ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3769,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk63_0),arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_2433]) ).

cnf(c_0_3770,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk19_0),arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_1959]) ).

cnf(c_0_3771,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk18_0),arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_1960]) ).

cnf(c_0_3772,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_2434]) ).

cnf(c_0_3773,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_2435]) ).

cnf(c_0_3774,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    inference(split_conjunct,[status(thm)],[c_0_2436]) ).

cnf(c_0_3775,plain,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2437]) ).

cnf(c_0_3776,plain,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2438]) ).

cnf(c_0_3777,plain,
    ( X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2438]) ).

cnf(c_0_3778,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | esk41_1(X1) != esk42_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2383]) ).

cnf(c_0_3779,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | esk39_1(X1) != esk40_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2384]) ).

cnf(c_0_3780,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(esk41_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2383]) ).

cnf(c_0_3781,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(esk42_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2383]) ).

cnf(c_0_3782,plain,
    hAPP_nat_nat(suc,X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat),
    inference(split_conjunct,[status(thm)],[c_0_2439]) ).

cnf(c_0_3783,plain,
    hAPP_n1699378549t_bool(ord_less_nat,X1) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2440]) ).

cnf(c_0_3784,plain,
    ( X2 = X1
    | is_fun20916972t_bool(esk25_2(X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1911]) ).

cnf(c_0_3785,plain,
    ( X1 = X2
    | is_Arr723427730le_alt(esk20_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_3786,plain,
    ( X1 = X2
    | is_Arr723427730le_alt(esk21_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_3787,plain,
    hAPP_nat_nat(suc,X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X1),
    inference(split_conjunct,[status(thm)],[c_0_2441]) ).

cnf(c_0_3788,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2442]) ).

cnf(c_0_3789,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2443]) ).

cnf(c_0_3790,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2444]) ).

cnf(c_0_3791,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2445]) ).

cnf(c_0_3792,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2446]) ).

cnf(c_0_3793,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2447]) ).

cnf(c_0_3794,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2448]) ).

cnf(c_0_3795,plain,
    ( hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2449]) ).

cnf(c_0_3796,plain,
    ( hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1),X2) = X1
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2450]) ).

cnf(c_0_3797,plain,
    ( hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2451]) ).

cnf(c_0_3798,plain,
    ( hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2452]) ).

cnf(c_0_3799,plain,
    ( hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1),X2) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2453]) ).

cnf(c_0_3800,plain,
    ( hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2454]) ).

cnf(c_0_3801,plain,
    ( hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2455]) ).

cnf(c_0_3802,plain,
    ( hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2456]) ).

cnf(c_0_3803,plain,
    ( hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2457]) ).

cnf(c_0_3804,plain,
    ( hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2458]) ).

cnf(c_0_3805,plain,
    ( hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2459]) ).

cnf(c_0_3806,plain,
    ( hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2460]) ).

cnf(c_0_3807,plain,
    ( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2461]) ).

cnf(c_0_3808,plain,
    ( is_bool(hAPP_A416869060i_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2462]) ).

cnf(c_0_3809,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat
    | X2 != zero_zero_nat
    | X1 != zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2438]) ).

cnf(c_0_3810,plain,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2463]) ).

cnf(c_0_3811,plain,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2464]) ).

cnf(c_0_3812,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(esk7_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_3813,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_3814,plain,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2465]) ).

cnf(c_0_3815,plain,
    hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2466]) ).

cnf(c_0_3816,plain,
    hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2467]) ).

cnf(c_0_3817,plain,
    hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2468]) ).

cnf(c_0_3818,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_3819,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_3820,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_3821,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(esk13_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_3822,plain,
    ( is_bool(hAPP_P1813625415t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2469]) ).

cnf(c_0_3823,plain,
    ( is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2470]) ).

cnf(c_0_3824,plain,
    ( is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2471]) ).

cnf(c_0_3825,plain,
    ( is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2472]) ).

cnf(c_0_3826,plain,
    ( is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2473]) ).

cnf(c_0_3827,plain,
    ( is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2474]) ).

cnf(c_0_3828,plain,
    ( is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2475]) ).

cnf(c_0_3829,plain,
    ( is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2476]) ).

cnf(c_0_3830,plain,
    ( is_bool(hAPP_f560517119l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2477]) ).

cnf(c_0_3831,plain,
    ( is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2478]) ).

cnf(c_0_3832,plain,
    ( is_bool(hAPP_f322109294l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2479]) ).

cnf(c_0_3833,plain,
    ( is_bool(hAPP_f446648900l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2480]) ).

cnf(c_0_3834,plain,
    ( is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2481]) ).

cnf(c_0_3835,plain,
    ( is_bool(hAPP_f147218624l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2482]) ).

cnf(c_0_3836,plain,
    ( is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2483]) ).

cnf(c_0_3837,plain,
    ( is_bool(hAPP_f2028818269l_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2484]) ).

cnf(c_0_3838,plain,
    ( is_bool(hAPP_f1378099862l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2485]) ).

cnf(c_0_3839,plain,
    ( is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2486]) ).

cnf(c_0_3840,plain,
    ( is_bool(hAPP_f160177134l_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2487]) ).

cnf(c_0_3841,plain,
    ( is_bool(hAPP_P1676879539t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2488]) ).

cnf(c_0_3842,plain,
    ( is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2))
    | ~ is_fun1084921220e_indi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2489]) ).

cnf(c_0_3843,plain,
    ( is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2490]) ).

cnf(c_0_3844,plain,
    ( is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2491]) ).

cnf(c_0_3845,plain,
    ( is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2492]) ).

cnf(c_0_3846,plain,
    ( is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2493]) ).

cnf(c_0_3847,plain,
    ( is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2494]) ).

cnf(c_0_3848,plain,
    ( is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2495]) ).

cnf(c_0_3849,plain,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2496]) ).

cnf(c_0_3850,plain,
    ( is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2497]) ).

cnf(c_0_3851,plain,
    ( is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2498]) ).

cnf(c_0_3852,plain,
    ( is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2499]) ).

cnf(c_0_3853,plain,
    ( is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2500]) ).

cnf(c_0_3854,plain,
    ( is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2501]) ).

cnf(c_0_3855,plain,
    ( is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2502]) ).

cnf(c_0_3856,plain,
    ( is_bool(hAPP_A1120018583t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2503]) ).

cnf(c_0_3857,plain,
    ( is_fun1084921220e_indi(hilber951314860di_nat(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2504]) ).

cnf(c_0_3858,plain,
    ( is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2505]) ).

cnf(c_0_3859,plain,
    ( is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2506]) ).

cnf(c_0_3860,plain,
    ( is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2507]) ).

cnf(c_0_3861,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2508]) ).

cnf(c_0_3862,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),zero_zero_nat) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2509]) ).

cnf(c_0_3863,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X1)),
    inference(split_conjunct,[status(thm)],[c_0_2510]) ).

cnf(c_0_3864,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2511]) ).

cnf(c_0_3865,plain,
    pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    inference(split_conjunct,[status(thm)],[c_0_2512]) ).

cnf(c_0_3866,plain,
    pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    inference(split_conjunct,[status(thm)],[c_0_2513]) ).

cnf(c_0_3867,plain,
    pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    inference(split_conjunct,[status(thm)],[c_0_2514]) ).

cnf(c_0_3868,plain,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(esk98_0),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2515]) ).

cnf(c_0_3869,plain,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2516]) ).

cnf(c_0_3870,plain,
    arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
    inference(split_conjunct,[status(thm)],[c_0_2517]) ).

cnf(c_0_3871,plain,
    ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2442]) ).

cnf(c_0_3872,plain,
    ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2443]) ).

cnf(c_0_3873,plain,
    ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2444]) ).

cnf(c_0_3874,plain,
    ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2445]) ).

cnf(c_0_3875,plain,
    ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2446]) ).

cnf(c_0_3876,plain,
    ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2447]) ).

cnf(c_0_3877,plain,
    ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_2448]) ).

cnf(c_0_3878,plain,
    image_837079859di_nat(esk98_0,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2515]) ).

cnf(c_0_3879,plain,
    image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2518]) ).

cnf(c_0_3880,plain,
    is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2519]) ).

cnf(c_0_3881,plain,
    is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2520]) ).

cnf(c_0_3882,plain,
    is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2521]) ).

cnf(c_0_3883,plain,
    is_bool(hAPP_f557371893l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2522]) ).

cnf(c_0_3884,plain,
    is_bool(hAPP_f817344902l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2523]) ).

cnf(c_0_3885,plain,
    is_bool(hAPP_f1363425282l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2524]) ).

cnf(c_0_3886,plain,
    is_bool(hAPP_f1384787615l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2525]) ).

cnf(c_0_3887,plain,
    is_bool(hAPP_f560261801l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2526]) ).

cnf(c_0_3888,plain,
    is_bool(hAPP_f1021828400l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2527]) ).

cnf(c_0_3889,plain,
    is_bool(hAPP_f966397426l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2528]) ).

cnf(c_0_3890,plain,
    is_bool(hAPP_f750478076l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2529]) ).

cnf(c_0_3891,plain,
    is_bool(hAPP_f742658307l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2530]) ).

cnf(c_0_3892,plain,
    is_bool(hAPP_f1082951236l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2531]) ).

cnf(c_0_3893,plain,
    is_bool(hAPP_f1138659662l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2532]) ).

cnf(c_0_3894,plain,
    is_bool(hAPP_f882250837l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2533]) ).

cnf(c_0_3895,plain,
    is_bool(hAPP_f1117143157l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2534]) ).

cnf(c_0_3896,plain,
    is_bool(hAPP_f1965705105l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2535]) ).

cnf(c_0_3897,plain,
    is_bool(hAPP_f1597773170l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2536]) ).

cnf(c_0_3898,plain,
    is_bool(hAPP_f866114756l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2537]) ).

cnf(c_0_3899,plain,
    is_bool(hAPP_f339859954l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2538]) ).

cnf(c_0_3900,plain,
    is_bool(hAPP_f537623936l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2539]) ).

cnf(c_0_3901,plain,
    is_bool(hAPP_f1426445843l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2540]) ).

cnf(c_0_3902,plain,
    is_bool(hAPP_f1637334154l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2541]) ).

cnf(c_0_3903,plain,
    is_bool(hAPP_f1428735377l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2542]) ).

cnf(c_0_3904,plain,
    is_bool(hAPP_f2053170815l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2543]) ).

cnf(c_0_3905,plain,
    is_bool(hAPP_f937100551l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2544]) ).

cnf(c_0_3906,plain,
    is_bool(hAPP_f740740988l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2545]) ).

cnf(c_0_3907,plain,
    is_bool(hAPP_f620747982l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2546]) ).

cnf(c_0_3908,plain,
    is_bool(hAPP_f67777128l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2547]) ).

cnf(c_0_3909,plain,
    is_bool(hAPP_f1291635206l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2548]) ).

cnf(c_0_3910,plain,
    is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2549]) ).

cnf(c_0_3911,plain,
    is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2550]) ).

cnf(c_0_3912,plain,
    is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2551]) ).

cnf(c_0_3913,plain,
    is_bool(hAPP_f2016919811l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2552]) ).

cnf(c_0_3914,plain,
    is_bool(hAPP_f1898839893l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2553]) ).

cnf(c_0_3915,plain,
    is_bool(hAPP_f599997089l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2554]) ).

cnf(c_0_3916,plain,
    is_bool(hAPP_f54304608l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2555]) ).

cnf(c_0_3917,plain,
    is_bool(hAPP_f387058535l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2556]) ).

cnf(c_0_3918,plain,
    is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2557]) ).

cnf(c_0_3919,plain,
    is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2558]) ).

cnf(c_0_3920,plain,
    is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2559]) ).

cnf(c_0_3921,plain,
    is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2560]) ).

cnf(c_0_3922,plain,
    is_bool(hAPP_f212509069l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2561]) ).

cnf(c_0_3923,plain,
    is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2562]) ).

cnf(c_0_3924,plain,
    is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2563]) ).

cnf(c_0_3925,plain,
    is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2564]) ).

cnf(c_0_3926,plain,
    is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2565]) ).

cnf(c_0_3927,plain,
    is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2566]) ).

cnf(c_0_3928,plain,
    is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2567]) ).

cnf(c_0_3929,plain,
    is_bool(hAPP_nat_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2568]) ).

cnf(c_0_3930,plain,
    ( hAPP_nat_nat(suc,X1) = hAPP_nat_nat(suc,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2463]) ).

cnf(c_0_3931,plain,
    hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2569]) ).

cnf(c_0_3932,plain,
    hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2570]) ).

cnf(c_0_3933,plain,
    hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2571]) ).

cnf(c_0_3934,plain,
    hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2572]) ).

cnf(c_0_3935,plain,
    hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2573]) ).

cnf(c_0_3936,plain,
    hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2574]) ).

cnf(c_0_3937,plain,
    hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2575]) ).

cnf(c_0_3938,plain,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    inference(split_conjunct,[status(thm)],[c_0_2576]) ).

cnf(c_0_3939,plain,
    top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2577]) ).

cnf(c_0_3940,plain,
    top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2578]) ).

cnf(c_0_3941,plain,
    top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2579]) ).

cnf(c_0_3942,plain,
    top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2580]) ).

cnf(c_0_3943,plain,
    top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2581]) ).

cnf(c_0_3944,plain,
    top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2582]) ).

cnf(c_0_3945,plain,
    top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_2583]) ).

cnf(c_0_3946,plain,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    inference(split_conjunct,[status(thm)],[c_0_2584]) ).

cnf(c_0_3947,plain,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    inference(split_conjunct,[status(thm)],[c_0_2585]) ).

cnf(c_0_3948,plain,
    X1 != hAPP_nat_nat(suc,X1),
    inference(split_conjunct,[status(thm)],[c_0_2586]) ).

cnf(c_0_3949,plain,
    hAPP_nat_nat(suc,X1) != X1,
    inference(split_conjunct,[status(thm)],[c_0_2587]) ).

cnf(c_0_3950,plain,
    ( X1 = hAPP_nat_nat(suc,esk95_1(X1))
    | X1 = zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2588]) ).

cnf(c_0_3951,plain,
    ( X1 = hAPP_nat_nat(suc,esk94_1(X1))
    | X1 = zero_zero_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2589]) ).

cnf(c_0_3952,plain,
    zero_zero_nat != hAPP_nat_nat(suc,X1),
    inference(split_conjunct,[status(thm)],[c_0_2590]) ).

cnf(c_0_3953,plain,
    zero_zero_nat != hAPP_nat_nat(suc,X1),
    inference(split_conjunct,[status(thm)],[c_0_2591]) ).

cnf(c_0_3954,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(split_conjunct,[status(thm)],[c_0_2592]) ).

cnf(c_0_3955,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(split_conjunct,[status(thm)],[c_0_2593]) ).

cnf(c_0_3956,plain,
    zero_zero_nat != hAPP_nat_nat(suc,X1),
    inference(split_conjunct,[status(thm)],[c_0_2594]) ).

cnf(c_0_3957,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(split_conjunct,[status(thm)],[c_0_2595]) ).

cnf(c_0_3958,plain,
    ( is_fun20916972t_bool(collec1376511890le_alt(X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2596]) ).

cnf(c_0_3959,plain,
    ( is_fun1420103068l_bool(collec612883262t_bool(X1))
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2597]) ).

cnf(c_0_3960,plain,
    ( is_fun292781289l_bool(collec1517527055t_bool(X1))
    | ~ is_fun292781289l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2598]) ).

cnf(c_0_3961,plain,
    ( is_fun701126715l_bool(collec1567922785t_bool(X1))
    | ~ is_fun701126715l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2599]) ).

cnf(c_0_3962,plain,
    ( is_fun1568535512t_bool(collect_Product_unit(X1))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2600]) ).

cnf(c_0_3963,plain,
    ( is_fun2015243113i_bool(collec279390863e_indi(X1))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2601]) ).

cnf(c_0_3964,plain,
    ( is_fun1420103068l_bool(inj_on398823523t_bool(X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2602]) ).

cnf(c_0_3965,plain,
    hAPP_nat_nat(cOMBI_nat,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2603]) ).

cnf(c_0_3966,plain,
    ( collec279390863e_indi(X1) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2604]) ).

cnf(c_0_3967,plain,
    ( collect_Product_unit(X1) = X1
    | ~ is_fun1568535512t_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2605]) ).

cnf(c_0_3968,plain,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    inference(split_conjunct,[status(thm)],[c_0_2606]) ).

cnf(c_0_3969,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2607]) ).

cnf(c_0_3970,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2608]) ).

cnf(c_0_3971,plain,
    is_bool(undefined_bool(bool)),
    inference(split_conjunct,[status(thm)],[c_0_2609]) ).

cnf(c_0_3972,plain,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    inference(split_conjunct,[status(thm)],[c_0_2610]) ).

cnf(c_0_3973,plain,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    inference(split_conjunct,[status(thm)],[c_0_2611]) ).

cnf(c_0_3974,plain,
    collect_nat(X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_2612]) ).

cnf(c_0_3975,plain,
    ( X1 = one_one_nat
    | one_one_nat != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2613]) ).

cnf(c_0_3976,plain,
    ( one_one_nat = X1
    | X1 != one_one_nat ),
    inference(split_conjunct,[status(thm)],[c_0_2613]) ).

cnf(c_0_3977,plain,
    hBOOL(fTrue),
    inference(split_conjunct,[status(thm)],[c_0_2614]) ).

cnf(c_0_3978,plain,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    inference(split_conjunct,[status(thm)],[c_0_2615]) ).

cnf(c_0_3979,plain,
    is_fun20916972t_bool(esk63_0),
    inference(split_conjunct,[status(thm)],[c_0_2433]) ).

cnf(c_0_3980,plain,
    is_fun20916972t_bool(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_1959]) ).

cnf(c_0_3981,plain,
    is_fun20916972t_bool(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_1960]) ).

cnf(c_0_3982,plain,
    is_Arr723427730le_alt(e),
    inference(split_conjunct,[status(thm)],[c_0_2616]) ).

cnf(c_0_3983,plain,
    is_Arr723427730le_alt(b),
    inference(split_conjunct,[status(thm)],[c_0_2617]) ).

cnf(c_0_3984,plain,
    is_Arr723427730le_alt(a),
    inference(split_conjunct,[status(thm)],[c_0_2618]) ).

cnf(c_0_3985,plain,
    is_fun20916972t_bool(lba),
    inference(split_conjunct,[status(thm)],[c_0_2619]) ).

cnf(c_0_3986,plain,
    is_fun20916972t_bool(lab),
    inference(split_conjunct,[status(thm)],[c_0_2620]) ).

cnf(c_0_3987,plain,
    is_bool(fTrue),
    inference(split_conjunct,[status(thm)],[c_0_2621]) ).

cnf(c_0_3988,plain,
    is_bool(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_2622]) ).

cnf(c_0_3989,plain,
    is_fun20916972t_bool(top_to1773227171t_bool),
    inference(split_conjunct,[status(thm)],[c_0_2623]) ).

cnf(c_0_3990,plain,
    is_fun1420103068l_bool(top_to846262053l_bool),
    inference(split_conjunct,[status(thm)],[c_0_2624]) ).

cnf(c_0_3991,plain,
    is_fun292781289l_bool(top_to1849101472l_bool),
    inference(split_conjunct,[status(thm)],[c_0_2625]) ).

cnf(c_0_3992,plain,
    is_fun701126715l_bool(top_to935749874l_bool),
    inference(split_conjunct,[status(thm)],[c_0_2626]) ).

cnf(c_0_3993,plain,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    inference(split_conjunct,[status(thm)],[c_0_2627]) ).

cnf(c_0_3994,plain,
    is_fun2015243113i_bool(top_to207207712i_bool),
    inference(split_conjunct,[status(thm)],[c_0_2628]) ).

cnf(c_0_3995,plain,
    is_bool(top_top_bool),
    inference(split_conjunct,[status(thm)],[c_0_2629]) ).

cnf(c_0_3996,plain,
    is_fun1420103068l_bool(finite955821396le_alt),
    inference(split_conjunct,[status(thm)],[c_0_2630]) ).

cnf(c_0_3997,plain,
    is_fun292781289l_bool(arrow_1550141362nimity),
    inference(split_conjunct,[status(thm)],[c_0_2631]) ).

cnf(c_0_3998,plain,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    inference(split_conjunct,[status(thm)],[c_0_2632]) ).

cnf(c_0_3999,plain,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    inference(split_conjunct,[status(thm)],[c_0_2633]) ).

cnf(c_0_4000,plain,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    inference(split_conjunct,[status(thm)],[c_0_2634]) ).

cnf(c_0_4001,plain,
    a != b,
    inference(split_conjunct,[status(thm)],[c_0_2635]) ).

cnf(c_0_4002,plain,
    c != d,
    inference(split_conjunct,[status(thm)],[c_0_2636]) ).

cnf(c_0_4003,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    c_0_2637,
    [final] ).

cnf(c_0_4004,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2638,
    [final] ).

cnf(c_0_4005,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2639,
    [final] ).

cnf(c_0_4006,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2640,
    [final] ).

cnf(c_0_4007,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2641,
    [final] ).

cnf(c_0_4008,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    c_0_2642,
    [final] ).

cnf(c_0_4009,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    c_0_2643,
    [final] ).

cnf(c_0_4010,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    c_0_2644,
    [final] ).

cnf(c_0_4011,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2645,
    [final] ).

cnf(c_0_4012,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2646,
    [final] ).

cnf(c_0_4013,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2647,
    [final] ).

cnf(c_0_4014,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2648,
    [final] ).

cnf(c_0_4015,plain,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2649,
    [final] ).

cnf(c_0_4016,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    c_0_2650,
    [final] ).

cnf(c_0_4017,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    c_0_2651,
    [final] ).

cnf(c_0_4018,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
    c_0_2652,
    [final] ).

cnf(c_0_4019,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_2653,
    [final] ).

cnf(c_0_4020,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_2654,
    [final] ).

cnf(c_0_4021,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    c_0_2655,
    [final] ).

cnf(c_0_4022,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    c_0_2656,
    [final] ).

cnf(c_0_4023,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk27_0),one_one_nat)))),lab)),lba)))),
    c_0_2657,
    [final] ).

cnf(c_0_4024,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk26_0),one_one_nat)))),lab)),lba)))),
    c_0_2658,
    [final] ).

cnf(c_0_4025,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    c_0_2659,
    [final] ).

cnf(c_0_4026,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    c_0_2660,
    [final] ).

cnf(c_0_4027,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    c_0_2661,
    [final] ).

cnf(c_0_4028,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2662,
    [final] ).

cnf(c_0_4029,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2663,
    [final] ).

cnf(c_0_4030,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk27_0)) ),
    c_0_2664,
    [final] ).

cnf(c_0_4031,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk26_0)) ),
    c_0_2665,
    [final] ).

cnf(c_0_4032,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),n)) ),
    c_0_2666,
    [final] ).

cnf(c_0_4033,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)),arrow_583275979e_Prof)),
    c_0_2667,
    [final] ).

cnf(c_0_4034,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    c_0_2668,
    [final] ).

cnf(c_0_4035,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    c_0_2669,
    [final] ).

cnf(c_0_4036,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2670,
    [final] ).

cnf(c_0_4037,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2671,
    [final] ).

cnf(c_0_4038,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2672,
    [final] ).

cnf(c_0_4039,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2673,
    [final] ).

cnf(c_0_4040,plain,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2674,
    [final] ).

cnf(c_0_4041,plain,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2675,
    [final] ).

cnf(c_0_4042,plain,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    c_0_2676,
    [final] ).

cnf(c_0_4043,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    c_0_2677,
    [final] ).

cnf(c_0_4044,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2678,
    [final] ).

cnf(c_0_4045,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    c_0_2679,
    [final] ).

cnf(c_0_4046,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2680,
    [final] ).

cnf(c_0_4047,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2))) ),
    c_0_2681,
    [final] ).

cnf(c_0_4048,plain,
    ( hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    c_0_2682,
    [final] ).

cnf(c_0_4049,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2683,
    [final] ).

cnf(c_0_4050,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,esk14_4(X1,X2,X4,X3)))) ),
    c_0_2684,
    [final] ).

cnf(c_0_4051,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2685,
    [final] ).

cnf(c_0_4052,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2686,
    [final] ).

cnf(c_0_4053,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2687,
    [final] ).

cnf(c_0_4054,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2688,
    [final] ).

cnf(c_0_4055,plain,
    ( is_Arr859726945e_indi(esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    c_0_2689,
    [final] ).

cnf(c_0_4056,plain,
    ( is_Arr859726945e_indi(esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    c_0_2690,
    [final] ).

cnf(c_0_4057,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2691,
    [final] ).

cnf(c_0_4058,plain,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    c_0_2692,
    [final] ).

cnf(c_0_4059,plain,
    ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    c_0_2693,
    [final] ).

cnf(c_0_4060,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2694,
    [final] ).

cnf(c_0_4061,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    c_0_2695,
    [final] ).

cnf(c_0_4062,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    c_0_2696,
    [final] ).

cnf(c_0_4063,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk56_3(X2,X3,X1))),hAPP_nat_nat(X1,esk57_3(X2,X3,X1)))) ),
    c_0_2697,
    [final] ).

cnf(c_0_4064,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2698,
    [final] ).

cnf(c_0_4065,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2699,
    [final] ).

cnf(c_0_4066,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2700,
    [final] ).

cnf(c_0_4067,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2701,
    [final] ).

cnf(c_0_4068,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2702,
    [final] ).

cnf(c_0_4069,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2703,
    [final] ).

cnf(c_0_4070,plain,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    c_0_2704,
    [final] ).

cnf(c_0_4071,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2705,
    [final] ).

cnf(c_0_4072,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2706,
    [final] ).

cnf(c_0_4073,plain,
    ( X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X1)) ),
    c_0_2707,
    [final] ).

cnf(c_0_4074,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2708,
    [final] ).

cnf(c_0_4075,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2709,
    [final] ).

cnf(c_0_4076,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,esk59_3(X2,X3,X1)))) ),
    c_0_2710,
    [final] ).

cnf(c_0_4077,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2711,
    [final] ).

cnf(c_0_4078,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2712,
    [final] ).

cnf(c_0_4079,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X2,esk46_3(X2,X3,X1))),hAPP_f1895971544l_bool(X3,esk46_3(X2,X3,X1)))) ),
    c_0_2713,
    [final] ).

cnf(c_0_4080,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X2,esk45_3(X2,X3,X1))),hAPP_A659996934l_bool(X3,esk45_3(X2,X3,X1)))) ),
    c_0_2714,
    [final] ).

cnf(c_0_4081,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X2,esk44_3(X2,X3,X1))),hAPP_P1122857141l_bool(X3,esk44_3(X2,X3,X1)))) ),
    c_0_2715,
    [final] ).

cnf(c_0_4082,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2716,
    [final] ).

cnf(c_0_4083,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2717,
    [final] ).

cnf(c_0_4084,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2718,
    [final] ).

cnf(c_0_4085,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk69_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,esk69_3(X1,X3,X2)))) ),
    c_0_2719,
    [final] ).

cnf(c_0_4086,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk68_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,esk68_3(X1,X3,X2)))) ),
    c_0_2720,
    [final] ).

cnf(c_0_4087,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk67_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,esk67_3(X1,X3,X2)))) ),
    c_0_2721,
    [final] ).

cnf(c_0_4088,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk36_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,esk36_3(X1,X3,X2)))) ),
    c_0_2722,
    [final] ).

cnf(c_0_4089,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk35_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,esk35_3(X1,X3,X2)))) ),
    c_0_2723,
    [final] ).

cnf(c_0_4090,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk34_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,esk34_3(X1,X3,X2)))) ),
    c_0_2724,
    [final] ).

cnf(c_0_4091,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2725,
    [final] ).

cnf(c_0_4092,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2726,
    [final] ).

cnf(c_0_4093,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2727,
    [final] ).

cnf(c_0_4094,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1))) ),
    c_0_2728,
    [final] ).

cnf(c_0_4095,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1))) ),
    c_0_2729,
    [final] ).

cnf(c_0_4096,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    c_0_2730,
    [final] ).

cnf(c_0_4097,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    c_0_2731,
    [final] ).

cnf(c_0_4098,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1))) ),
    c_0_2732,
    [final] ).

cnf(c_0_4099,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1))) ),
    c_0_2733,
    [final] ).

cnf(c_0_4100,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    c_0_2734,
    [final] ).

cnf(c_0_4101,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    c_0_2735,
    [final] ).

cnf(c_0_4102,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2736,
    [final] ).

cnf(c_0_4103,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2737,
    [final] ).

cnf(c_0_4104,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2738,
    [final] ).

cnf(c_0_4105,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2739,
    [final] ).

cnf(c_0_4106,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2,X1)),esk24_2(X2,X1))),hAPP_f1817389232t_bool(X1,esk22_2(X2,X1)))) ),
    c_0_2740,
    [final] ).

cnf(c_0_4107,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2741,
    [final] ).

cnf(c_0_4108,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2742,
    [final] ).

cnf(c_0_4109,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2743,
    [final] ).

cnf(c_0_4110,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2744,
    [final] ).

cnf(c_0_4111,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2745,
    [final] ).

cnf(c_0_4112,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    c_0_2746,
    [final] ).

cnf(c_0_4113,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2747,
    [final] ).

cnf(c_0_4114,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2748,
    [final] ).

cnf(c_0_4115,plain,
    ( X1 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2,X1)),esk21_2(X2,X1))),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    c_0_2749,
    [final] ).

cnf(c_0_4116,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2750,
    [final] ).

cnf(c_0_4117,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2751,
    [final] ).

cnf(c_0_4118,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2752,
    [final] ).

cnf(c_0_4119,plain,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) != zero_zero_nat
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    c_0_2753,
    [final] ).

cnf(c_0_4120,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2))) ),
    c_0_2754,
    [final] ).

cnf(c_0_4121,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2))) ),
    c_0_2755,
    [final] ).

cnf(c_0_4122,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2))) ),
    c_0_2756,
    [final] ).

cnf(c_0_4123,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2))) ),
    c_0_2757,
    [final] ).

cnf(c_0_4124,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2758,
    [final] ).

cnf(c_0_4125,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2759,
    [final] ).

cnf(c_0_4126,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2760,
    [final] ).

cnf(c_0_4127,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2761,
    [final] ).

cnf(c_0_4128,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2762,
    [final] ).

cnf(c_0_4129,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2763,
    [final] ).

cnf(c_0_4130,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    c_0_2764,
    [final] ).

cnf(c_0_4131,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1)))) ),
    c_0_2765,
    [final] ).

cnf(c_0_4132,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2766,
    [final] ).

cnf(c_0_4133,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2767,
    [final] ).

cnf(c_0_4134,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2768,
    [final] ).

cnf(c_0_4135,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk62_3(X1,X3,X2))),X3)) ),
    c_0_2769,
    [final] ).

cnf(c_0_4136,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk61_3(X1,X3,X2))),X3)) ),
    c_0_2770,
    [final] ).

cnf(c_0_4137,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk60_3(X1,X3,X2))),X3)) ),
    c_0_2771,
    [final] ).

cnf(c_0_4138,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    c_0_2772,
    [final] ).

cnf(c_0_4139,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    c_0_2773,
    [final] ).

cnf(c_0_4140,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk56_3(X2,X3,X1)),esk57_3(X2,X3,X1))) ),
    c_0_2774,
    [final] ).

cnf(c_0_4141,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2775,
    [final] ).

cnf(c_0_4142,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2776,
    [final] ).

cnf(c_0_4143,plain,
    ( X2 = X1
    | is_Arr859726945e_indi(esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    c_0_2777,
    [final] ).

cnf(c_0_4144,plain,
    ( X2 = X1
    | is_Arr859726945e_indi(esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    c_0_2778,
    [final] ).

cnf(c_0_4145,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2779,
    [final] ).

cnf(c_0_4146,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2780,
    [final] ).

cnf(c_0_4147,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2781,
    [final] ).

cnf(c_0_4148,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2782,
    [final] ).

cnf(c_0_4149,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2783,
    [final] ).

cnf(c_0_4150,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2784,
    [final] ).

cnf(c_0_4151,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2785,
    [final] ).

cnf(c_0_4152,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2786,
    [final] ).

cnf(c_0_4153,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2787,
    [final] ).

cnf(c_0_4154,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2788,
    [final] ).

cnf(c_0_4155,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2789,
    [final] ).

cnf(c_0_4156,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    c_0_2790,
    [final] ).

cnf(c_0_4157,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2791,
    [final] ).

cnf(c_0_4158,plain,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    c_0_2792,
    [final] ).

cnf(c_0_4159,plain,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    c_0_2793,
    [final] ).

cnf(c_0_4160,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    c_0_2794,
    [final] ).

cnf(c_0_4161,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2795,
    [final] ).

cnf(c_0_4162,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2796,
    [final] ).

cnf(c_0_4163,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2797,
    [final] ).

cnf(c_0_4164,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    c_0_2798,
    [final] ).

cnf(c_0_4165,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2))) ),
    c_0_2799,
    [final] ).

cnf(c_0_4166,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2))) ),
    c_0_2800,
    [final] ).

cnf(c_0_4167,plain,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2801,
    [final] ).

cnf(c_0_4168,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2,X1)),esk24_2(X2,X1))),hAPP_A340536322t_bool(esk22_2(X2,X1),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    c_0_2802,
    [final] ).

cnf(c_0_4169,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    c_0_2803,
    [final] ).

cnf(c_0_4170,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2804,
    [final] ).

cnf(c_0_4171,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    c_0_2805,
    [final] ).

cnf(c_0_4172,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2806,
    [final] ).

cnf(c_0_4173,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    c_0_2807,
    [final] ).

cnf(c_0_4174,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    c_0_2808,
    [final] ).

cnf(c_0_4175,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2809,
    [final] ).

cnf(c_0_4176,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    c_0_2810,
    [final] ).

cnf(c_0_4177,plain,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    c_0_2811,
    [final] ).

cnf(c_0_4178,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2812,
    [final] ).

cnf(c_0_4179,plain,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    c_0_2813,
    [final] ).

cnf(c_0_4180,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    c_0_2814,
    [final] ).

cnf(c_0_4181,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    c_0_2815,
    [final] ).

cnf(c_0_4182,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X1)),X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X2,X1)),hAPP_nat_nat(X1,esk80_2(X2,X1)))) ),
    c_0_2816,
    [final] ).

cnf(c_0_4183,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2817,
    [final] ).

cnf(c_0_4184,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    c_0_2818,
    [final] ).

cnf(c_0_4185,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2819,
    [final] ).

cnf(c_0_4186,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    c_0_2820,
    [final] ).

cnf(c_0_4187,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    c_0_2821,
    [final] ).

cnf(c_0_4188,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    c_0_2822,
    [final] ).

cnf(c_0_4189,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    c_0_2823,
    [final] ).

cnf(c_0_4190,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    c_0_2824,
    [final] ).

cnf(c_0_4191,plain,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    c_0_2825,
    [final] ).

cnf(c_0_4192,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    c_0_2826,
    [final] ).

cnf(c_0_4193,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2827,
    [final] ).

cnf(c_0_4194,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2828,
    [final] ).

cnf(c_0_4195,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1)))) ),
    c_0_2829,
    [final] ).

cnf(c_0_4196,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    c_0_2830,
    [final] ).

cnf(c_0_4197,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    c_0_2831,
    [final] ).

cnf(c_0_4198,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    c_0_2832,
    [final] ).

cnf(c_0_4199,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    c_0_2833,
    [final] ).

cnf(c_0_4200,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    c_0_2834,
    [final] ).

cnf(c_0_4201,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    c_0_2835,
    [final] ).

cnf(c_0_4202,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(esk14_4(X1,X2,X4,X3))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    c_0_2836,
    [final] ).

cnf(c_0_4203,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk58_3(X2,X3,X1)),esk59_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    c_0_2837,
    [final] ).

cnf(c_0_4204,plain,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    c_0_2838,
    [final] ).

cnf(c_0_4205,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2839,
    [final] ).

cnf(c_0_4206,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2840,
    [final] ).

cnf(c_0_4207,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    c_0_2841,
    [final] ).

cnf(c_0_4208,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    c_0_2842,
    [final] ).

cnf(c_0_4209,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    c_0_2843,
    [final] ).

cnf(c_0_4210,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X1)),esk17_1(X1))),hAPP_f1817389232t_bool(X1,esk15_1(X1)))) ),
    c_0_2844,
    [final] ).

cnf(c_0_4211,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk43_2(X1,X2))),hAPP_nat_bool(X2,esk43_2(X1,X2)))) ),
    c_0_2845,
    [final] ).

cnf(c_0_4212,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk28_2(X1,X2))),hAPP_nat_bool(X2,esk28_2(X1,X2)))) ),
    c_0_2846,
    [final] ).

cnf(c_0_4213,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X1),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))),
    c_0_2847,
    [final] ).

cnf(c_0_4214,plain,
    ( finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    c_0_2848,
    [final] ).

cnf(c_0_4215,plain,
    ( finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    c_0_2849,
    [final] ).

cnf(c_0_4216,plain,
    ( finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    c_0_2850,
    [final] ).

cnf(c_0_4217,plain,
    ( finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    c_0_2851,
    [final] ).

cnf(c_0_4218,plain,
    ( finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    c_0_2852,
    [final] ).

cnf(c_0_4219,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2853,
    [final] ).

cnf(c_0_4220,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_2854,
    [final] ).

cnf(c_0_4221,plain,
    ( hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))) = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))))) ),
    c_0_2855,
    [final] ).

cnf(c_0_4222,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2856,
    [final] ).

cnf(c_0_4223,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2857,
    [final] ).

cnf(c_0_4224,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    c_0_2858,
    [final] ).

cnf(c_0_4225,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2859,
    [final] ).

cnf(c_0_4226,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    c_0_2860,
    [final] ).

cnf(c_0_4227,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2861,
    [final] ).

cnf(c_0_4228,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    c_0_2862,
    [final] ).

cnf(c_0_4229,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2863,
    [final] ).

cnf(c_0_4230,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    c_0_2864,
    [final] ).

cnf(c_0_4231,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    c_0_2865,
    [final] ).

cnf(c_0_4232,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    c_0_2866,
    [final] ).

cnf(c_0_4233,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    c_0_2867,
    [final] ).

cnf(c_0_4234,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    c_0_2868,
    [final] ).

cnf(c_0_4235,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    c_0_2869,
    [final] ).

cnf(c_0_4236,plain,
    ( is_Arr859726945e_indi(esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    c_0_2870,
    [final] ).

cnf(c_0_4237,plain,
    ( is_Arr859726945e_indi(esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    c_0_2871,
    [final] ).

cnf(c_0_4238,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X2
    | X2 != X1 ),
    c_0_2872,
    [final] ).

cnf(c_0_4239,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X2
    | X3 != X1 ),
    c_0_2873,
    [final] ).

cnf(c_0_4240,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X1 ),
    c_0_2874,
    [final] ).

cnf(c_0_4241,plain,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 != X1 ),
    c_0_2875,
    [final] ).

cnf(c_0_4242,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2))) ),
    c_0_2876,
    [final] ).

cnf(c_0_4243,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2))) ),
    c_0_2877,
    [final] ).

cnf(c_0_4244,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2))) ),
    c_0_2878,
    [final] ).

cnf(c_0_4245,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2))) ),
    c_0_2879,
    [final] ).

cnf(c_0_4246,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2))) ),
    c_0_2880,
    [final] ).

cnf(c_0_4247,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2))) ),
    c_0_2881,
    [final] ).

cnf(c_0_4248,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2))) ),
    c_0_2882,
    [final] ).

cnf(c_0_4249,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2))) ),
    c_0_2883,
    [final] ).

cnf(c_0_4250,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2884,
    [final] ).

cnf(c_0_4251,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2885,
    [final] ).

cnf(c_0_4252,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    c_0_2886,
    [final] ).

cnf(c_0_4253,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2887,
    [final] ).

cnf(c_0_4254,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2888,
    [final] ).

cnf(c_0_4255,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2889,
    [final] ).

cnf(c_0_4256,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2890,
    [final] ).

cnf(c_0_4257,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2891,
    [final] ).

cnf(c_0_4258,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2892,
    [final] ).

cnf(c_0_4259,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk46_3(X2,X3,X1)),X1)) ),
    c_0_2893,
    [final] ).

cnf(c_0_4260,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk45_3(X2,X3,X1)),X1)) ),
    c_0_2894,
    [final] ).

cnf(c_0_4261,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk44_3(X2,X3,X1)),X1)) ),
    c_0_2895,
    [final] ).

cnf(c_0_4262,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    c_0_2896,
    [final] ).

cnf(c_0_4263,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    c_0_2897,
    [final] ).

cnf(c_0_4264,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    c_0_2898,
    [final] ).

cnf(c_0_4265,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk62_3(X1,X3,X2)),X2)) ),
    c_0_2899,
    [final] ).

cnf(c_0_4266,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk61_3(X1,X3,X2)),X2)) ),
    c_0_2900,
    [final] ).

cnf(c_0_4267,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk60_3(X1,X3,X2)),X2)) ),
    c_0_2901,
    [final] ).

cnf(c_0_4268,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk88_3(X3,X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    c_0_2902,
    [final] ).

cnf(c_0_4269,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,esk88_3(X3,X1,X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    c_0_2903,
    [final] ).

cnf(c_0_4270,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2904,
    [final] ).

cnf(c_0_4271,plain,
    ( hBOOL(in_rel1361124802le_alt(X1,X2,X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1)) ),
    c_0_2905,
    [final] ).

cnf(c_0_4272,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    c_0_2906,
    [final] ).

cnf(c_0_4273,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),X2)) ),
    c_0_2907,
    [final] ).

cnf(c_0_4274,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    c_0_2908,
    [final] ).

cnf(c_0_4275,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    c_0_2909,
    [final] ).

cnf(c_0_4276,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    c_0_2910,
    [final] ).

cnf(c_0_4277,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    c_0_2911,
    [final] ).

cnf(c_0_4278,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    c_0_2912,
    [final] ).

cnf(c_0_4279,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    c_0_2913,
    [final] ).

cnf(c_0_4280,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_2914,
    [final] ).

cnf(c_0_4281,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk69_3(X1,X3,X2)),X2)) ),
    c_0_2915,
    [final] ).

cnf(c_0_4282,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk68_3(X1,X3,X2)),X2)) ),
    c_0_2916,
    [final] ).

cnf(c_0_4283,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk67_3(X1,X3,X2)),X2)) ),
    c_0_2917,
    [final] ).

cnf(c_0_4284,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk36_3(X1,X3,X2)),X2)) ),
    c_0_2918,
    [final] ).

cnf(c_0_4285,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk35_3(X1,X3,X2)),X2)) ),
    c_0_2919,
    [final] ).

cnf(c_0_4286,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk34_3(X1,X3,X2)),X2)) ),
    c_0_2920,
    [final] ).

cnf(c_0_4287,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2921,
    [final] ).

cnf(c_0_4288,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    c_0_2922,
    [final] ).

cnf(c_0_4289,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2923,
    [final] ).

cnf(c_0_4290,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    c_0_2924,
    [final] ).

cnf(c_0_4291,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2925,
    [final] ).

cnf(c_0_4292,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    c_0_2926,
    [final] ).

cnf(c_0_4293,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_2927,
    [final] ).

cnf(c_0_4294,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    c_0_2928,
    [final] ).

cnf(c_0_4295,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2929,
    [final] ).

cnf(c_0_4296,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    c_0_2930,
    [final] ).

cnf(c_0_4297,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_2931,
    [final] ).

cnf(c_0_4298,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    c_0_2932,
    [final] ).

cnf(c_0_4299,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    c_0_2933,
    [final] ).

cnf(c_0_4300,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X1)),esk17_1(X1))),hAPP_A340536322t_bool(esk15_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_2934,
    [final] ).

cnf(c_0_4301,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    c_0_2935,
    [final] ).

cnf(c_0_4302,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    c_0_2936,
    [final] ).

cnf(c_0_4303,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    c_0_2937,
    [final] ).

cnf(c_0_4304,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    c_0_2938,
    [final] ).

cnf(c_0_4305,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    c_0_2939,
    [final] ).

cnf(c_0_4306,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    c_0_2940,
    [final] ).

cnf(c_0_4307,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    c_0_2941,
    [final] ).

cnf(c_0_4308,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    c_0_2942,
    [final] ).

cnf(c_0_4309,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_2943,
    [final] ).

cnf(c_0_4310,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    c_0_2944,
    [final] ).

cnf(c_0_4311,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    c_0_2945,
    [final] ).

cnf(c_0_4312,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    c_0_2946,
    [final] ).

cnf(c_0_4313,plain,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,esk88_3(X3,X1,X2))) ),
    c_0_2947,
    [final] ).

cnf(c_0_4314,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X2)),
    c_0_2948,
    [final] ).

cnf(c_0_4315,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X1)),
    c_0_2949,
    [final] ).

cnf(c_0_4316,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    c_0_2950,
    [final] ).

cnf(c_0_4317,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk22_2(X2,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    c_0_2951,
    [final] ).

cnf(c_0_4318,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    c_0_2952,
    [final] ).

cnf(c_0_4319,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    c_0_2953,
    [final] ).

cnf(c_0_4320,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    c_0_2954,
    [final] ).

cnf(c_0_4321,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2)))) ),
    c_0_2955,
    [final] ).

cnf(c_0_4322,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2)))) ),
    c_0_2956,
    [final] ).

cnf(c_0_4323,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),hAPP_f1895971544l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X3))) ),
    c_0_2957,
    [final] ).

cnf(c_0_4324,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),hAPP_A659996934l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X3))) ),
    c_0_2958,
    [final] ).

cnf(c_0_4325,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),hAPP_P1122857141l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X3))) ),
    c_0_2959,
    [final] ).

cnf(c_0_4326,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3,X1)),hAPP_A659996934l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,X4))) ),
    c_0_2960,
    [final] ).

cnf(c_0_4327,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3,X1)),hAPP_f1895971544l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,X4))) ),
    c_0_2961,
    [final] ).

cnf(c_0_4328,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X3,X1)),hAPP_n454528608t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X3),pi_nat_Product_unit(X2,X4))) ),
    c_0_2962,
    [final] ).

cnf(c_0_4329,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X3,X1)),hAPP_n1006566506l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X3),pi_nat_bool(X2,X4))) ),
    c_0_2963,
    [final] ).

cnf(c_0_4330,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X3,X1)),hAPP_n1600508401i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X3),pi_nat1476290531e_indi(X2,X4))) ),
    c_0_2964,
    [final] ).

cnf(c_0_4331,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X3,X1)),hAPP_f649586561t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X3),pi_fun1012573681t_unit(X2,X4))) ),
    c_0_2965,
    [final] ).

cnf(c_0_4332,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X3,X1)),hAPP_f812095627l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X3),pi_fun568395771l_bool(X2,X4))) ),
    c_0_2966,
    [final] ).

cnf(c_0_4333,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X3,X1)),hAPP_f431432850i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,X4))) ),
    c_0_2967,
    [final] ).

cnf(c_0_4334,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X3,X1)),hAPP_f1841347694t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X3),pi_fun1390764464t_unit(X2,X4))) ),
    c_0_2968,
    [final] ).

cnf(c_0_4335,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X3,X1)),hAPP_f721327224l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X3),pi_fun187048122l_bool(X2,X4))) ),
    c_0_2969,
    [final] ).

cnf(c_0_4336,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X3,X1)),hAPP_f783549695i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X3),pi_fun1353458625e_indi(X2,X4))) ),
    c_0_2970,
    [final] ).

cnf(c_0_4337,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X3,X1)),hAPP_f1009478556t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X3),pi_fun623621634t_unit(X2,X4))) ),
    c_0_2971,
    [final] ).

cnf(c_0_4338,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X3,X1)),hAPP_f591334822l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X3),pi_fun1236347660l_bool(X2,X4))) ),
    c_0_2972,
    [final] ).

cnf(c_0_4339,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X3,X1)),hAPP_f1570138413i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X3),pi_fun268174099e_indi(X2,X4))) ),
    c_0_2973,
    [final] ).

cnf(c_0_4340,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X3,X1)),hAPP_P822772139t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X3),pi_Pro269694131t_unit(X2,X4))) ),
    c_0_2974,
    [final] ).

cnf(c_0_4341,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X3,X1)),hAPP_P957402556i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X3),pi_Pro58544964e_indi(X2,X4))) ),
    c_0_2975,
    [final] ).

cnf(c_0_4342,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X3,X1)),hAPP_P32877782t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X3),pi_Product_unit_nat(X2,X4))) ),
    c_0_2976,
    [final] ).

cnf(c_0_4343,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X3,X1)),hAPP_b1013836512t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X3),pi_bool_nat(X2,X4))) ),
    c_0_2977,
    [final] ).

cnf(c_0_4344,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X3,X1)),hAPP_A1948275303t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X2,X4))) ),
    c_0_2978,
    [final] ).

cnf(c_0_4345,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X3,X1)),hAPP_P288224245l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X3),pi_Pro1925515229t_bool(X2,X4))) ),
    c_0_2979,
    [final] ).

cnf(c_0_4346,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X3,X1)),hAPP_b805997823l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X3),pi_boo1746012499t_bool(X2,X4))) ),
    c_0_2980,
    [final] ).

cnf(c_0_4347,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X3,X1)),hAPP_P1305865168l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X3),pi_Pro831923248t_bool(X2,X4))) ),
    c_0_2981,
    [final] ).

cnf(c_0_4348,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X3,X1)),hAPP_b651754310l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X3),pi_boo68262458t_bool(X2,X4))) ),
    c_0_2982,
    [final] ).

cnf(c_0_4349,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X3,X1)),hAPP_A955165183l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X3),pi_Arr742795713t_bool(X2,X4))) ),
    c_0_2983,
    [final] ).

cnf(c_0_4350,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X3,X1)),hAPP_P667392034l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X3),pi_Pro1114473858t_bool(X2,X4))) ),
    c_0_2984,
    [final] ).

cnf(c_0_4351,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X3,X1)),hAPP_b1461182872l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X3),pi_boo679625100t_bool(X2,X4))) ),
    c_0_2985,
    [final] ).

cnf(c_0_4352,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X3,X1)),hAPP_A701636433l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X3),pi_Arr656802323t_bool(X2,X4))) ),
    c_0_2986,
    [final] ).

cnf(c_0_4353,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X3,X1)),hAPP_P401722323t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X3),pi_Pro1208494515le_alt(X2,X4))) ),
    c_0_2987,
    [final] ).

cnf(c_0_4354,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X3,X1)),hAPP_b763490121t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,X4))) ),
    c_0_2988,
    [final] ).

cnf(c_0_4355,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X3,X1)),hAPP_A340536322t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X3),pi_Arr1064242500le_alt(X2,X4))) ),
    c_0_2989,
    [final] ).

cnf(c_0_4356,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3,X1)),hAPP_P1122857141l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X2,X4))) ),
    c_0_2990,
    [final] ).

cnf(c_0_4357,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(in_rel1361124802le_alt(X3,X1,X2)) ),
    c_0_2991,
    [final] ).

cnf(c_0_4358,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    c_0_2992,
    [final] ).

cnf(c_0_4359,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    c_0_2993,
    [final] ).

cnf(c_0_4360,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    c_0_2994,
    [final] ).

cnf(c_0_4361,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    c_0_2995,
    [final] ).

cnf(c_0_4362,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    c_0_2996,
    [final] ).

cnf(c_0_4363,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    c_0_2997,
    [final] ).

cnf(c_0_4364,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hAPP_A1895296483di_nat(X1,esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    c_0_2998,
    [final] ).

cnf(c_0_4365,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hAPP_A1895296483di_nat(X1,esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    c_0_2999,
    [final] ).

cnf(c_0_4366,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hAPP_nat_nat(X1,esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    c_0_3000,
    [final] ).

cnf(c_0_4367,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hAPP_nat_nat(X1,esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    c_0_3001,
    [final] ).

cnf(c_0_4368,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))) ),
    c_0_3002,
    [final] ).

cnf(c_0_4369,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    c_0_3003,
    [final] ).

cnf(c_0_4370,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    c_0_3004,
    [final] ).

cnf(c_0_4371,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    c_0_3005,
    [final] ).

cnf(c_0_4372,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk82_2(X2,X1)),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    c_0_3006,
    [final] ).

cnf(c_0_4373,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | esk24_2(X2,X1) != esk23_2(X2,X1) ),
    c_0_3007,
    [final] ).

cnf(c_0_4374,plain,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),esk25_2(X2,X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3008,
    [final] ).

cnf(c_0_4375,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(esk23_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    c_0_3009,
    [final] ).

cnf(c_0_4376,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(esk24_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    c_0_3010,
    [final] ).

cnf(c_0_4377,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk7_1(X1)),esk8_1(X1)))) ),
    c_0_3011,
    [final] ).

cnf(c_0_4378,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    c_0_3012,
    [final] ).

cnf(c_0_4379,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    c_0_3013,
    [final] ).

cnf(c_0_4380,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    c_0_3014,
    [final] ).

cnf(c_0_4381,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    c_0_3015,
    [final] ).

cnf(c_0_4382,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    c_0_3016,
    [final] ).

cnf(c_0_4383,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))),
    c_0_3017,
    [final] ).

cnf(c_0_4384,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))),
    c_0_3018,
    [final] ).

cnf(c_0_4385,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3019,
    [final] ).

cnf(c_0_4386,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk93_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3020,
    [final] ).

cnf(c_0_4387,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    c_0_3021,
    [final] ).

cnf(c_0_4388,plain,
    ( X1 = zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk87_2(X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3022,
    [final] ).

cnf(c_0_4389,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    c_0_3023,
    [final] ).

cnf(c_0_4390,plain,
    ( X1 = X2
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    c_0_3024,
    [final] ).

cnf(c_0_4391,plain,
    ( X2 = X3
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3025,
    [final] ).

cnf(c_0_4392,plain,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    c_0_3026,
    [final] ).

cnf(c_0_4393,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    c_0_3027,
    [final] ).

cnf(c_0_4394,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X2,X1)),X2)) ),
    c_0_3028,
    [final] ).

cnf(c_0_4395,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X2,X1)),X2)) ),
    c_0_3029,
    [final] ).

cnf(c_0_4396,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X2,X1)),X2)) ),
    c_0_3030,
    [final] ).

cnf(c_0_4397,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X2,X1)),X2)) ),
    c_0_3031,
    [final] ).

cnf(c_0_4398,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X2,X1)),X2)) ),
    c_0_3032,
    [final] ).

cnf(c_0_4399,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X2,X1)),X2)) ),
    c_0_3033,
    [final] ).

cnf(c_0_4400,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X2,X1)),X2)) ),
    c_0_3034,
    [final] ).

cnf(c_0_4401,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X2,X1)),X2)) ),
    c_0_3035,
    [final] ).

cnf(c_0_4402,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk97_2(X2,X1)))) ),
    c_0_3036,
    [final] ).

cnf(c_0_4403,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    c_0_3037,
    [final] ).

cnf(c_0_4404,plain,
    ( X3 = X4
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    c_0_3038,
    [final] ).

cnf(c_0_4405,plain,
    ( X2 = X3
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    c_0_3039,
    [final] ).

cnf(c_0_4406,plain,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    c_0_3040,
    [final] ).

cnf(c_0_4407,plain,
    ( hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    c_0_3041,
    [final] ).

cnf(c_0_4408,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X1)) ),
    c_0_3042,
    [final] ).

cnf(c_0_4409,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X1)) ),
    c_0_3043,
    [final] ).

cnf(c_0_4410,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X1)) ),
    c_0_3044,
    [final] ).

cnf(c_0_4411,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3045,
    [final] ).

cnf(c_0_4412,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3046,
    [final] ).

cnf(c_0_4413,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3047,
    [final] ).

cnf(c_0_4414,plain,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    c_0_3048,
    [final] ).

cnf(c_0_4415,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | is_Arr859726945e_indi(esk45_3(X2,X3,X1)) ),
    c_0_3049,
    [final] ).

cnf(c_0_4416,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3050,
    [final] ).

cnf(c_0_4417,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3051,
    [final] ).

cnf(c_0_4418,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3052,
    [final] ).

cnf(c_0_4419,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3053,
    [final] ).

cnf(c_0_4420,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3054,
    [final] ).

cnf(c_0_4421,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3055,
    [final] ).

cnf(c_0_4422,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3056,
    [final] ).

cnf(c_0_4423,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3057,
    [final] ).

cnf(c_0_4424,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3058,
    [final] ).

cnf(c_0_4425,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3059,
    [final] ).

cnf(c_0_4426,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3060,
    [final] ).

cnf(c_0_4427,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3061,
    [final] ).

cnf(c_0_4428,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3062,
    [final] ).

cnf(c_0_4429,plain,
    ( hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | X3 != X4 ),
    c_0_3063,
    [final] ).

cnf(c_0_4430,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3064,
    [final] ).

cnf(c_0_4431,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3065,
    [final] ).

cnf(c_0_4432,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3066,
    [final] ).

cnf(c_0_4433,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | is_Arr859726945e_indi(esk61_3(X1,X3,X2)) ),
    c_0_3067,
    [final] ).

cnf(c_0_4434,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),esk83_2(X2,X1))) ),
    c_0_3068,
    [final] ).

cnf(c_0_4435,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),esk82_2(X2,X1))) ),
    c_0_3069,
    [final] ).

cnf(c_0_4436,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    c_0_3070,
    [final] ).

cnf(c_0_4437,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
    c_0_3071,
    [final] ).

cnf(c_0_4438,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),esk19_0)),
    c_0_3072,
    [final] ).

cnf(c_0_4439,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),esk18_0)),
    c_0_3073,
    [final] ).

cnf(c_0_4440,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    c_0_3074,
    [final] ).

cnf(c_0_4441,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    c_0_3075,
    [final] ).

cnf(c_0_4442,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3076,
    [final] ).

cnf(c_0_4443,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    c_0_3077,
    [final] ).

cnf(c_0_4444,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    c_0_3078,
    [final] ).

cnf(c_0_4445,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    c_0_3079,
    [final] ).

cnf(c_0_4446,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3),X2)) ),
    c_0_3080,
    [final] ).

cnf(c_0_4447,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3),X2)) ),
    c_0_3081,
    [final] ).

cnf(c_0_4448,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3),X2)) ),
    c_0_3082,
    [final] ).

cnf(c_0_4449,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3),X2)) ),
    c_0_3083,
    [final] ).

cnf(c_0_4450,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    c_0_3084,
    [final] ).

cnf(c_0_4451,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    c_0_3085,
    [final] ).

cnf(c_0_4452,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    c_0_3086,
    [final] ).

cnf(c_0_4453,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3),X2)) ),
    c_0_3087,
    [final] ).

cnf(c_0_4454,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    c_0_3088,
    [final] ).

cnf(c_0_4455,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    c_0_3089,
    [final] ).

cnf(c_0_4456,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    c_0_3090,
    [final] ).

cnf(c_0_4457,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    c_0_3091,
    [final] ).

cnf(c_0_4458,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3092,
    [final] ).

cnf(c_0_4459,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    c_0_3093,
    [final] ).

cnf(c_0_4460,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    c_0_3094,
    [final] ).

cnf(c_0_4461,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    c_0_3095,
    [final] ).

cnf(c_0_4462,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3)) ),
    c_0_3096,
    [final] ).

cnf(c_0_4463,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3)) ),
    c_0_3097,
    [final] ).

cnf(c_0_4464,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3)) ),
    c_0_3098,
    [final] ).

cnf(c_0_4465,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3)) ),
    c_0_3099,
    [final] ).

cnf(c_0_4466,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)) ),
    c_0_3100,
    [final] ).

cnf(c_0_4467,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
    c_0_3101,
    [final] ).

cnf(c_0_4468,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3)) ),
    c_0_3102,
    [final] ).

cnf(c_0_4469,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3)) ),
    c_0_3103,
    [final] ).

cnf(c_0_4470,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    c_0_3104,
    [final] ).

cnf(c_0_4471,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    c_0_3105,
    [final] ).

cnf(c_0_4472,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    c_0_3106,
    [final] ).

cnf(c_0_4473,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    c_0_3107,
    [final] ).

cnf(c_0_4474,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3108,
    [final] ).

cnf(c_0_4475,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    c_0_3109,
    [final] ).

cnf(c_0_4476,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    c_0_3110,
    [final] ).

cnf(c_0_4477,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    c_0_3111,
    [final] ).

cnf(c_0_4478,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3112,
    [final] ).

cnf(c_0_4479,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    c_0_3113,
    [final] ).

cnf(c_0_4480,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    c_0_3114,
    [final] ).

cnf(c_0_4481,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3115,
    [final] ).

cnf(c_0_4482,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    c_0_3116,
    [final] ).

cnf(c_0_4483,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    c_0_3117,
    [final] ).

cnf(c_0_4484,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    c_0_3118,
    [final] ).

cnf(c_0_4485,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    c_0_3119,
    [final] ).

cnf(c_0_4486,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    c_0_3120,
    [final] ).

cnf(c_0_4487,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    c_0_3121,
    [final] ).

cnf(c_0_4488,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    c_0_3122,
    [final] ).

cnf(c_0_4489,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3123,
    [final] ).

cnf(c_0_4490,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    c_0_3124,
    [final] ).

cnf(c_0_4491,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    c_0_3125,
    [final] ).

cnf(c_0_4492,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    c_0_3126,
    [final] ).

cnf(c_0_4493,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    c_0_3127,
    [final] ).

cnf(c_0_4494,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    c_0_3128,
    [final] ).

cnf(c_0_4495,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    c_0_3129,
    [final] ).

cnf(c_0_4496,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    c_0_3130,
    [final] ).

cnf(c_0_4497,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3131,
    [final] ).

cnf(c_0_4498,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    c_0_3132,
    [final] ).

cnf(c_0_4499,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3133,
    [final] ).

cnf(c_0_4500,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    c_0_3134,
    [final] ).

cnf(c_0_4501,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    c_0_3135,
    [final] ).

cnf(c_0_4502,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3136,
    [final] ).

cnf(c_0_4503,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2)) ),
    c_0_3137,
    [final] ).

cnf(c_0_4504,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    c_0_3138,
    [final] ).

cnf(c_0_4505,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    c_0_3139,
    [final] ).

cnf(c_0_4506,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    c_0_3140,
    [final] ).

cnf(c_0_4507,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    c_0_3141,
    [final] ).

cnf(c_0_4508,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3)) ),
    c_0_3142,
    [final] ).

cnf(c_0_4509,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3143,
    [final] ).

cnf(c_0_4510,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    c_0_3144,
    [final] ).

cnf(c_0_4511,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    c_0_3145,
    [final] ).

cnf(c_0_4512,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    c_0_3146,
    [final] ).

cnf(c_0_4513,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3147,
    [final] ).

cnf(c_0_4514,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3148,
    [final] ).

cnf(c_0_4515,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    c_0_3149,
    [final] ).

cnf(c_0_4516,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3150,
    [final] ).

cnf(c_0_4517,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    c_0_3151,
    [final] ).

cnf(c_0_4518,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    c_0_3152,
    [final] ).

cnf(c_0_4519,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3153,
    [final] ).

cnf(c_0_4520,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    c_0_3154,
    [final] ).

cnf(c_0_4521,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    c_0_3155,
    [final] ).

cnf(c_0_4522,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    c_0_3156,
    [final] ).

cnf(c_0_4523,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    c_0_3157,
    [final] ).

cnf(c_0_4524,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    c_0_3158,
    [final] ).

cnf(c_0_4525,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    c_0_3159,
    [final] ).

cnf(c_0_4526,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    c_0_3160,
    [final] ).

cnf(c_0_4527,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    c_0_3161,
    [final] ).

cnf(c_0_4528,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4),X2)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ),
    c_0_3162,
    [final] ).

cnf(c_0_4529,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    c_0_3163,
    [final] ).

cnf(c_0_4530,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk81_2(X2,X1)),X2)) ),
    c_0_3164,
    [final] ).

cnf(c_0_4531,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk79_2(X1,X2)),X2)) ),
    c_0_3165,
    [final] ).

cnf(c_0_4532,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk77_2(X1,X2)),X2)) ),
    c_0_3166,
    [final] ).

cnf(c_0_4533,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X1)),X2)),
    c_0_3167,
    [final] ).

cnf(c_0_4534,plain,
    ( hAPP_nat_nat(suc,esk93_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    c_0_3168,
    [final] ).

cnf(c_0_4535,plain,
    ( hAPP_nat_nat(suc,esk91_2(X2,X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    c_0_3169,
    [final] ).

cnf(c_0_4536,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1)))),
    c_0_3170,
    [final] ).

cnf(c_0_4537,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1)))),
    c_0_3171,
    [final] ).

cnf(c_0_4538,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hAPP_nat_nat(suc,X1) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3172,
    [final] ).

cnf(c_0_4539,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    c_0_3173,
    [final] ).

cnf(c_0_4540,plain,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    c_0_3174,
    [final] ).

cnf(c_0_4541,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    c_0_3175,
    [final] ).

cnf(c_0_4542,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    c_0_3176,
    [final] ).

cnf(c_0_4543,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3177,
    [final] ).

cnf(c_0_4544,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3178,
    [final] ).

cnf(c_0_4545,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3179,
    [final] ).

cnf(c_0_4546,plain,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3180,
    [final] ).

cnf(c_0_4547,plain,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3181,
    [final] ).

cnf(c_0_4548,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    c_0_3182,
    [final] ).

cnf(c_0_4549,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    c_0_3183,
    [final] ).

cnf(c_0_4550,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    c_0_3184,
    [final] ).

cnf(c_0_4551,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3185,
    [final] ).

cnf(c_0_4552,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3186,
    [final] ).

cnf(c_0_4553,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3187,
    [final] ).

cnf(c_0_4554,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    c_0_3188,
    [final] ).

cnf(c_0_4555,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    c_0_3189,
    [final] ).

cnf(c_0_4556,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    c_0_3190,
    [final] ).

cnf(c_0_4557,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3191,
    [final] ).

cnf(c_0_4558,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    c_0_3192,
    [final] ).

cnf(c_0_4559,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3193,
    [final] ).

cnf(c_0_4560,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3194,
    [final] ).

cnf(c_0_4561,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3195,
    [final] ).

cnf(c_0_4562,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X1)),
    c_0_3196,
    [final] ).

cnf(c_0_4563,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != hAPP_nat_nat(suc,X3) ),
    c_0_3197,
    [final] ).

cnf(c_0_4564,plain,
    ( hAPP_f1817389232t_bool(X1,X2) = hAPP_A340536322t_bool(X2,X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X3)) ),
    c_0_3198,
    [final] ).

cnf(c_0_4565,plain,
    ( X2 = hAPP_nat_nat(suc,X1)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk92_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3199,
    [final] ).

cnf(c_0_4566,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X3) ),
    c_0_3200,
    [final] ).

cnf(c_0_4567,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X4) ),
    c_0_3201,
    [final] ).

cnf(c_0_4568,plain,
    ( hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk89_2(X2,X1))) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3202,
    [final] ).

cnf(c_0_4569,plain,
    ( hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk85_2(X2,X1))) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3203,
    [final] ).

cnf(c_0_4570,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X2,X1)),X1)) ),
    c_0_3204,
    [final] ).

cnf(c_0_4571,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X2,X1)),X1)) ),
    c_0_3205,
    [final] ).

cnf(c_0_4572,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X2,X1)),X1)) ),
    c_0_3206,
    [final] ).

cnf(c_0_4573,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X2,X1)),X1)) ),
    c_0_3207,
    [final] ).

cnf(c_0_4574,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X2,X1)),X1)) ),
    c_0_3208,
    [final] ).

cnf(c_0_4575,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X2,X1)),X1)) ),
    c_0_3209,
    [final] ).

cnf(c_0_4576,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X2,X1)),X1)) ),
    c_0_3210,
    [final] ).

cnf(c_0_4577,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X2,X1)),X1)) ),
    c_0_3211,
    [final] ).

cnf(c_0_4578,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk83_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    c_0_3212,
    [final] ).

cnf(c_0_4579,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk82_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    c_0_3213,
    [final] ).

cnf(c_0_4580,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,esk6_1(X1))) ),
    c_0_3214,
    [final] ).

cnf(c_0_4581,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    c_0_3215,
    [final] ).

cnf(c_0_4582,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk33_2(X1,X2)),arrow_583275979e_Prof)) ),
    c_0_3216,
    [final] ).

cnf(c_0_4583,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4
    | hAPP_nat_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    c_0_3217,
    [final] ).

cnf(c_0_4584,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk78_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    c_0_3218,
    [final] ).

cnf(c_0_4585,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk76_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    c_0_3219,
    [final] ).

cnf(c_0_4586,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    c_0_3220,
    [final] ).

cnf(c_0_4587,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    c_0_3221,
    [final] ).

cnf(c_0_4588,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    c_0_3222,
    [final] ).

cnf(c_0_4589,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    c_0_3223,
    [final] ).

cnf(c_0_4590,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    c_0_3224,
    [final] ).

cnf(c_0_4591,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    c_0_3225,
    [final] ).

cnf(c_0_4592,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    c_0_3226,
    [final] ).

cnf(c_0_4593,plain,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    c_0_3227,
    [final] ).

cnf(c_0_4594,plain,
    ( hilber951314860di_nat(top_to207207712i_bool,X1) = X2
    | hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,esk38_2(X2,X1))) != esk38_2(X2,X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_fun1084921220e_indi(X2) ),
    c_0_3228,
    [final] ).

cnf(c_0_4595,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    c_0_3229,
    [final] ).

cnf(c_0_4596,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    c_0_3230,
    [final] ).

cnf(c_0_4597,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    c_0_3231,
    [final] ).

cnf(c_0_4598,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    c_0_3232,
    [final] ).

cnf(c_0_4599,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    c_0_3233,
    [final] ).

cnf(c_0_4600,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3234,
    [final] ).

cnf(c_0_4601,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    c_0_3235,
    [final] ).

cnf(c_0_4602,plain,
    ( hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2
    | hAPP_nat_nat(X1,hAPP_nat_nat(X2,esk37_2(X2,X1))) != esk37_2(X2,X1)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    c_0_3236,
    [final] ).

cnf(c_0_4603,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3237,
    [final] ).

cnf(c_0_4604,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3238,
    [final] ).

cnf(c_0_4605,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3239,
    [final] ).

cnf(c_0_4606,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3240,
    [final] ).

cnf(c_0_4607,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3241,
    [final] ).

cnf(c_0_4608,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    c_0_3242,
    [final] ).

cnf(c_0_4609,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3243,
    [final] ).

cnf(c_0_4610,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3244,
    [final] ).

cnf(c_0_4611,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3245,
    [final] ).

cnf(c_0_4612,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    c_0_3246,
    [final] ).

cnf(c_0_4613,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3247,
    [final] ).

cnf(c_0_4614,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3248,
    [final] ).

cnf(c_0_4615,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3249,
    [final] ).

cnf(c_0_4616,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3250,
    [final] ).

cnf(c_0_4617,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3251,
    [final] ).

cnf(c_0_4618,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3252,
    [final] ).

cnf(c_0_4619,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3253,
    [final] ).

cnf(c_0_4620,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk84_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3254,
    [final] ).

cnf(c_0_4621,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3255,
    [final] ).

cnf(c_0_4622,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3256,
    [final] ).

cnf(c_0_4623,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    c_0_3257,
    [final] ).

cnf(c_0_4624,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3258,
    [final] ).

cnf(c_0_4625,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3259,
    [final] ).

cnf(c_0_4626,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    c_0_3260,
    [final] ).

cnf(c_0_4627,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    c_0_3261,
    [final] ).

cnf(c_0_4628,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3262,
    [final] ).

cnf(c_0_4629,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3263,
    [final] ).

cnf(c_0_4630,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3264,
    [final] ).

cnf(c_0_4631,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3265,
    [final] ).

cnf(c_0_4632,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3266,
    [final] ).

cnf(c_0_4633,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3267,
    [final] ).

cnf(c_0_4634,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3268,
    [final] ).

cnf(c_0_4635,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3269,
    [final] ).

cnf(c_0_4636,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3270,
    [final] ).

cnf(c_0_4637,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3271,
    [final] ).

cnf(c_0_4638,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3272,
    [final] ).

cnf(c_0_4639,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3273,
    [final] ).

cnf(c_0_4640,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3274,
    [final] ).

cnf(c_0_4641,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3275,
    [final] ).

cnf(c_0_4642,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3276,
    [final] ).

cnf(c_0_4643,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3277,
    [final] ).

cnf(c_0_4644,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3278,
    [final] ).

cnf(c_0_4645,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3279,
    [final] ).

cnf(c_0_4646,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3280,
    [final] ).

cnf(c_0_4647,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3281,
    [final] ).

cnf(c_0_4648,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3282,
    [final] ).

cnf(c_0_4649,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3283,
    [final] ).

cnf(c_0_4650,plain,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3284,
    [final] ).

cnf(c_0_4651,plain,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3285,
    [final] ).

cnf(c_0_4652,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3286,
    [final] ).

cnf(c_0_4653,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(esk68_3(X1,X3,X2)) ),
    c_0_3287,
    [final] ).

cnf(c_0_4654,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(esk35_3(X1,X3,X2)) ),
    c_0_3288,
    [final] ).

cnf(c_0_4655,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3289,
    [final] ).

cnf(c_0_4656,plain,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(suc,esk87_2(X1,X2)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    c_0_3290,
    [final] ).

cnf(c_0_4657,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    c_0_3291,
    [final] ).

cnf(c_0_4658,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    c_0_3292,
    [final] ).

cnf(c_0_4659,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk72_2(X1,X2)),X2)) ),
    c_0_3293,
    [final] ).

cnf(c_0_4660,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk73_2(X1,X2)),X2)) ),
    c_0_3294,
    [final] ).

cnf(c_0_4661,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk70_2(X1,X2)),X2)) ),
    c_0_3295,
    [final] ).

cnf(c_0_4662,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk71_2(X1,X2)),X2)) ),
    c_0_3296,
    [final] ).

cnf(c_0_4663,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk31_2(X1,X2)),X2)) ),
    c_0_3297,
    [final] ).

cnf(c_0_4664,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk32_2(X1,X2)),X2)) ),
    c_0_3298,
    [final] ).

cnf(c_0_4665,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk29_2(X1,X2)),X2)) ),
    c_0_3299,
    [final] ).

cnf(c_0_4666,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk30_2(X1,X2)),X2)) ),
    c_0_3300,
    [final] ).

cnf(c_0_4667,plain,
    ( is_Arr859726945e_indi(esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    c_0_3301,
    [final] ).

cnf(c_0_4668,plain,
    ( is_Arr859726945e_indi(esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    c_0_3302,
    [final] ).

cnf(c_0_4669,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))),
    c_0_3303,
    [final] ).

cnf(c_0_4670,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))),
    c_0_3304,
    [final] ).

cnf(c_0_4671,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),
    c_0_3305,
    [final] ).

cnf(c_0_4672,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat))),
    c_0_3306,
    [final] ).

cnf(c_0_4673,plain,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3307,
    [final] ).

cnf(c_0_4674,plain,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3308,
    [final] ).

cnf(c_0_4675,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3309,
    [final] ).

cnf(c_0_4676,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3310,
    [final] ).

cnf(c_0_4677,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3311,
    [final] ).

cnf(c_0_4678,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3312,
    [final] ).

cnf(c_0_4679,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3313,
    [final] ).

cnf(c_0_4680,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3314,
    [final] ).

cnf(c_0_4681,plain,
    ( X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3315,
    [final] ).

cnf(c_0_4682,plain,
    ( X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3316,
    [final] ).

cnf(c_0_4683,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2) ),
    c_0_3317,
    [final] ).

cnf(c_0_4684,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2) ),
    c_0_3318,
    [final] ).

cnf(c_0_4685,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3319,
    [final] ).

cnf(c_0_4686,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3320,
    [final] ).

cnf(c_0_4687,plain,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3321,
    [final] ).

cnf(c_0_4688,plain,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3322,
    [final] ).

cnf(c_0_4689,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    c_0_3323,
    [final] ).

cnf(c_0_4690,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    c_0_3324,
    [final] ).

cnf(c_0_4691,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)) ),
    c_0_3325,
    [final] ).

cnf(c_0_4692,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3326,
    [final] ).

cnf(c_0_4693,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3327,
    [final] ).

cnf(c_0_4694,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3328,
    [final] ).

cnf(c_0_4695,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3329,
    [final] ).

cnf(c_0_4696,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3330,
    [final] ).

cnf(c_0_4697,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3331,
    [final] ).

cnf(c_0_4698,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3332,
    [final] ).

cnf(c_0_4699,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3333,
    [final] ).

cnf(c_0_4700,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    c_0_3334,
    [final] ).

cnf(c_0_4701,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    c_0_3335,
    [final] ).

cnf(c_0_4702,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    c_0_3336,
    [final] ).

cnf(c_0_4703,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    c_0_3337,
    [final] ).

cnf(c_0_4704,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    c_0_3338,
    [final] ).

cnf(c_0_4705,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3339,
    [final] ).

cnf(c_0_4706,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3340,
    [final] ).

cnf(c_0_4707,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3341,
    [final] ).

cnf(c_0_4708,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3342,
    [final] ).

cnf(c_0_4709,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3343,
    [final] ).

cnf(c_0_4710,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3344,
    [final] ).

cnf(c_0_4711,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3345,
    [final] ).

cnf(c_0_4712,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3346,
    [final] ).

cnf(c_0_4713,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3347,
    [final] ).

cnf(c_0_4714,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3348,
    [final] ).

cnf(c_0_4715,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3349,
    [final] ).

cnf(c_0_4716,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3350,
    [final] ).

cnf(c_0_4717,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_3351,
    [final] ).

cnf(c_0_4718,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_3352,
    [final] ).

cnf(c_0_4719,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk81_2(X2,X1)),X1)) ),
    c_0_3353,
    [final] ).

cnf(c_0_4720,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk79_2(X1,X2)),X1)) ),
    c_0_3354,
    [final] ).

cnf(c_0_4721,plain,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_2(X1,X2)),X1)) ),
    c_0_3355,
    [final] ).

cnf(c_0_4722,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    c_0_3356,
    [final] ).

cnf(c_0_4723,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    c_0_3357,
    [final] ).

cnf(c_0_4724,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    c_0_3358,
    [final] ).

cnf(c_0_4725,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    c_0_3359,
    [final] ).

cnf(c_0_4726,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    c_0_3360,
    [final] ).

cnf(c_0_4727,plain,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hAPP_f1817389232t_bool(X1,esk33_2(X1,X2)) != hAPP_A340536322t_bool(esk33_2(X1,X2),X2) ),
    c_0_3361,
    [final] ).

cnf(c_0_4728,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    c_0_3362,
    [final] ).

cnf(c_0_4729,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    c_0_3363,
    [final] ).

cnf(c_0_4730,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    c_0_3364,
    [final] ).

cnf(c_0_4731,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | X1 != X3 ),
    c_0_3365,
    [final] ).

cnf(c_0_4732,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | X1 != X3 ),
    c_0_3366,
    [final] ).

cnf(c_0_4733,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | X2 != X3 ),
    c_0_3367,
    [final] ).

cnf(c_0_4734,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | X2 != X3 ),
    c_0_3368,
    [final] ).

cnf(c_0_4735,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    c_0_3369,
    [final] ).

cnf(c_0_4736,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    c_0_3370,
    [final] ).

cnf(c_0_4737,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    c_0_3371,
    [final] ).

cnf(c_0_4738,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    c_0_3372,
    [final] ).

cnf(c_0_4739,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 != X1 ),
    c_0_3373,
    [final] ).

cnf(c_0_4740,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != X3 ),
    c_0_3374,
    [final] ).

cnf(c_0_4741,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | X1 != X3 ),
    c_0_3375,
    [final] ).

cnf(c_0_4742,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | X1 != X3 ),
    c_0_3376,
    [final] ).

cnf(c_0_4743,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | X1 != X3 ),
    c_0_3377,
    [final] ).

cnf(c_0_4744,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | X2 != X3 ),
    c_0_3378,
    [final] ).

cnf(c_0_4745,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | X2 != X3 ),
    c_0_3379,
    [final] ).

cnf(c_0_4746,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | X2 != X3 ),
    c_0_3380,
    [final] ).

cnf(c_0_4747,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | X2 != X3 ),
    c_0_3381,
    [final] ).

cnf(c_0_4748,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    c_0_3382,
    [final] ).

cnf(c_0_4749,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    c_0_3383,
    [final] ).

cnf(c_0_4750,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    c_0_3384,
    [final] ).

cnf(c_0_4751,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    c_0_3385,
    [final] ).

cnf(c_0_4752,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    c_0_3386,
    [final] ).

cnf(c_0_4753,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    c_0_3387,
    [final] ).

cnf(c_0_4754,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    c_0_3388,
    [final] ).

cnf(c_0_4755,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    c_0_3389,
    [final] ).

cnf(c_0_4756,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3390,
    [final] ).

cnf(c_0_4757,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3391,
    [final] ).

cnf(c_0_4758,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3392,
    [final] ).

cnf(c_0_4759,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3393,
    [final] ).

cnf(c_0_4760,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3394,
    [final] ).

cnf(c_0_4761,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3395,
    [final] ).

cnf(c_0_4762,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3396,
    [final] ).

cnf(c_0_4763,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3397,
    [final] ).

cnf(c_0_4764,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3398,
    [final] ).

cnf(c_0_4765,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3399,
    [final] ).

cnf(c_0_4766,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3400,
    [final] ).

cnf(c_0_4767,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3401,
    [final] ).

cnf(c_0_4768,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3402,
    [final] ).

cnf(c_0_4769,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3403,
    [final] ).

cnf(c_0_4770,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3404,
    [final] ).

cnf(c_0_4771,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3405,
    [final] ).

cnf(c_0_4772,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3406,
    [final] ).

cnf(c_0_4773,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3407,
    [final] ).

cnf(c_0_4774,plain,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3408,
    [final] ).

cnf(c_0_4775,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    c_0_3409,
    [final] ).

cnf(c_0_4776,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    c_0_3410,
    [final] ).

cnf(c_0_4777,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3411,
    [final] ).

cnf(c_0_4778,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    c_0_3412,
    [final] ).

cnf(c_0_4779,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
    c_0_3413,
    [final] ).

cnf(c_0_4780,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3414,
    [final] ).

cnf(c_0_4781,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3415,
    [final] ).

cnf(c_0_4782,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3416,
    [final] ).

cnf(c_0_4783,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3417,
    [final] ).

cnf(c_0_4784,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3418,
    [final] ).

cnf(c_0_4785,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3419,
    [final] ).

cnf(c_0_4786,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3420,
    [final] ).

cnf(c_0_4787,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3421,
    [final] ).

cnf(c_0_4788,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3422,
    [final] ).

cnf(c_0_4789,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3423,
    [final] ).

cnf(c_0_4790,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3424,
    [final] ).

cnf(c_0_4791,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3425,
    [final] ).

cnf(c_0_4792,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3426,
    [final] ).

cnf(c_0_4793,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3427,
    [final] ).

cnf(c_0_4794,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3428,
    [final] ).

cnf(c_0_4795,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    c_0_3429,
    [final] ).

cnf(c_0_4796,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3430,
    [final] ).

cnf(c_0_4797,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3431,
    [final] ).

cnf(c_0_4798,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3432,
    [final] ).

cnf(c_0_4799,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3433,
    [final] ).

cnf(c_0_4800,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    c_0_3434,
    [final] ).

cnf(c_0_4801,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3435,
    [final] ).

cnf(c_0_4802,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3436,
    [final] ).

cnf(c_0_4803,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    c_0_3437,
    [final] ).

cnf(c_0_4804,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3438,
    [final] ).

cnf(c_0_4805,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3439,
    [final] ).

cnf(c_0_4806,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3440,
    [final] ).

cnf(c_0_4807,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3441,
    [final] ).

cnf(c_0_4808,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    c_0_3442,
    [final] ).

cnf(c_0_4809,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    c_0_3443,
    [final] ).

cnf(c_0_4810,plain,
    ( X2 = X1
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk25_2(X2,X1)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3444,
    [final] ).

cnf(c_0_4811,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk84_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3445,
    [final] ).

cnf(c_0_4812,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),esk55_2(X2,X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3446,
    [final] ).

cnf(c_0_4813,plain,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat))) ),
    c_0_3447,
    [final] ).

cnf(c_0_4814,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk96_1(X1))))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    c_0_3448,
    [final] ).

cnf(c_0_4815,plain,
    ( X2 = hAPP_nat_nat(suc,X1)
    | hAPP_nat_nat(suc,esk92_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3449,
    [final] ).

cnf(c_0_4816,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    c_0_3450,
    [final] ).

cnf(c_0_4817,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,esk83_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    c_0_3451,
    [final] ).

cnf(c_0_4818,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3452,
    [final] ).

cnf(c_0_4819,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,esk97_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    c_0_3453,
    [final] ).

cnf(c_0_4820,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    c_0_3454,
    [final] ).

cnf(c_0_4821,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    c_0_3455,
    [final] ).

cnf(c_0_4822,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    c_0_3456,
    [final] ).

cnf(c_0_4823,plain,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3457,
    [final] ).

cnf(c_0_4824,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3458,
    [final] ).

cnf(c_0_4825,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3459,
    [final] ).

cnf(c_0_4826,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    c_0_3460,
    [final] ).

cnf(c_0_4827,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3461,
    [final] ).

cnf(c_0_4828,plain,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1))) = hAPP_nat_nat(suc,X1),
    c_0_3462,
    [final] ).

cnf(c_0_4829,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3463,
    [final] ).

cnf(c_0_4830,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3464,
    [final] ).

cnf(c_0_4831,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3465,
    [final] ).

cnf(c_0_4832,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3466,
    [final] ).

cnf(c_0_4833,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3467,
    [final] ).

cnf(c_0_4834,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3468,
    [final] ).

cnf(c_0_4835,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3469,
    [final] ).

cnf(c_0_4836,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    c_0_3470,
    [final] ).

cnf(c_0_4837,plain,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)) ),
    c_0_3471,
    [final] ).

cnf(c_0_4838,plain,
    ( hBOOL(hAPP_f1733357041l_bool(X1,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),X1)) ),
    c_0_3472,
    [final] ).

cnf(c_0_4839,plain,
    ( hBOOL(hAPP_f446648900l_bool(X1,X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),X1)) ),
    c_0_3473,
    [final] ).

cnf(c_0_4840,plain,
    ( hBOOL(hAPP_f1378099862l_bool(X1,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X1)) ),
    c_0_3474,
    [final] ).

cnf(c_0_4841,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X1)) ),
    c_0_3475,
    [final] ).

cnf(c_0_4842,plain,
    ( hBOOL(hAPP_P1676879539t_bool(X1,X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2),X1)) ),
    c_0_3476,
    [final] ).

cnf(c_0_4843,plain,
    ( hBOOL(hAPP_bool_bool(X1,X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2),X1)) ),
    c_0_3477,
    [final] ).

cnf(c_0_4844,plain,
    ( hBOOL(hAPP_A416869060i_bool(X1,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X1)) ),
    c_0_3478,
    [final] ).

cnf(c_0_4845,plain,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    c_0_3479,
    [final] ).

cnf(c_0_4846,plain,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    c_0_3480,
    [final] ).

cnf(c_0_4847,plain,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    c_0_3481,
    [final] ).

cnf(c_0_4848,plain,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    c_0_3482,
    [final] ).

cnf(c_0_4849,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    c_0_3483,
    [final] ).

cnf(c_0_4850,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != hAPP_nat_nat(suc,X2) ),
    c_0_3484,
    [final] ).

cnf(c_0_4851,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)),
    c_0_3485,
    [final] ).

cnf(c_0_4852,plain,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1))) = X1,
    c_0_3486,
    [final] ).

cnf(c_0_4853,plain,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,esk96_1(X1))) ),
    c_0_3487,
    [final] ).

cnf(c_0_4854,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    c_0_3488,
    [final] ).

cnf(c_0_4855,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    c_0_3489,
    [final] ).

cnf(c_0_4856,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    c_0_3490,
    [final] ).

cnf(c_0_4857,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    c_0_3491,
    [final] ).

cnf(c_0_4858,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
    c_0_3492,
    [final] ).

cnf(c_0_4859,plain,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    c_0_3493,
    [final] ).

cnf(c_0_4860,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    c_0_3494,
    [final] ).

cnf(c_0_4861,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),hAPP_A1895296483di_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3495,
    [final] ).

cnf(c_0_4862,plain,
    ( is_bool(in_rel1361124802le_alt(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3496,
    [final] ).

cnf(c_0_4863,plain,
    ( is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3497,
    [final] ).

cnf(c_0_4864,plain,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3
    | hAPP_A1895296483di_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X3) ),
    c_0_3498,
    [final] ).

cnf(c_0_4865,plain,
    ( hAPP_nat_nat(suc,esk90_1(X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    c_0_3499,
    [final] ).

cnf(c_0_4866,plain,
    ( hAPP_nat_nat(suc,esk86_1(X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    c_0_3500,
    [final] ).

cnf(c_0_4867,plain,
    ( hBOOL(X2)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    c_0_3501,
    [final] ).

cnf(c_0_4868,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    c_0_3502,
    [final] ).

cnf(c_0_4869,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    c_0_3503,
    [final] ).

cnf(c_0_4870,plain,
    hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X1),X2),X3) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X1,X3),X2),
    c_0_3504,
    [final] ).

cnf(c_0_4871,plain,
    hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X1),X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),X2),
    c_0_3505,
    [final] ).

cnf(c_0_4872,plain,
    hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X1),X2),X3) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X1,X3),X2),
    c_0_3506,
    [final] ).

cnf(c_0_4873,plain,
    hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X1),X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),X2),
    c_0_3507,
    [final] ).

cnf(c_0_4874,plain,
    hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X1),X2),X3) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X1,X3),X2),
    c_0_3508,
    [final] ).

cnf(c_0_4875,plain,
    hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X1),X2),X3) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X1,X3),X2),
    c_0_3509,
    [final] ).

cnf(c_0_4876,plain,
    hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X1,X3),X2),
    c_0_3510,
    [final] ).

cnf(c_0_4877,plain,
    hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X1),X2),X3) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X1,X3),X2),
    c_0_3511,
    [final] ).

cnf(c_0_4878,plain,
    hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X1),X2),X3) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X1,X3),X2),
    c_0_3512,
    [final] ).

cnf(c_0_4879,plain,
    hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X1,X3),X2),
    c_0_3513,
    [final] ).

cnf(c_0_4880,plain,
    hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X1),X2),X3) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X1,X3),X2),
    c_0_3514,
    [final] ).

cnf(c_0_4881,plain,
    hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X1),X2),X3) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X1,X3),X2),
    c_0_3515,
    [final] ).

cnf(c_0_4882,plain,
    hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_A1948275303t_bool(X1,X3),X2),
    c_0_3516,
    [final] ).

cnf(c_0_4883,plain,
    hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X1),X2),X3) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X1,X3),X2),
    c_0_3517,
    [final] ).

cnf(c_0_4884,plain,
    hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X1),X2),X3) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2),
    c_0_3518,
    [final] ).

cnf(c_0_4885,plain,
    hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2),
    c_0_3519,
    [final] ).

cnf(c_0_4886,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X1),X2),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X1,X3),X2),
    c_0_3520,
    [final] ).

cnf(c_0_4887,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    c_0_3521,
    [final] ).

cnf(c_0_4888,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk15_1(X1)),arrow_583275979e_Prof)) ),
    c_0_3522,
    [final] ).

cnf(c_0_4889,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk10_1(X1)),arrow_583275979e_Prof)) ),
    c_0_3523,
    [final] ).

cnf(c_0_4890,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk11_1(X1)),arrow_583275979e_Prof)) ),
    c_0_3524,
    [final] ).

cnf(c_0_4891,plain,
    ( ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool)) ),
    c_0_3525,
    [final] ).

cnf(c_0_4892,plain,
    ( ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool)) ),
    c_0_3526,
    [final] ).

cnf(c_0_4893,plain,
    ( ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool)) ),
    c_0_3527,
    [final] ).

cnf(c_0_4894,plain,
    ( ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool)) ),
    c_0_3528,
    [final] ).

cnf(c_0_4895,plain,
    ( ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool)) ),
    c_0_3529,
    [final] ).

cnf(c_0_4896,plain,
    ( ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool)) ),
    c_0_3530,
    [final] ).

cnf(c_0_4897,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    c_0_3531,
    [final] ).

cnf(c_0_4898,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    c_0_3532,
    [final] ).

cnf(c_0_4899,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != zero_zero_nat ),
    c_0_3533,
    [final] ).

cnf(c_0_4900,plain,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X2) = X3
    | hAPP_nat_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    c_0_3534,
    [final] ).

cnf(c_0_4901,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
    c_0_3535,
    [final] ).

cnf(c_0_4902,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(X2,X1)) ),
    c_0_3536,
    [final] ).

cnf(c_0_4903,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f446648900l_bool(X2,X1)) ),
    c_0_3537,
    [final] ).

cnf(c_0_4904,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1378099862l_bool(X2,X1)) ),
    c_0_3538,
    [final] ).

cnf(c_0_4905,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X2,X1)) ),
    c_0_3539,
    [final] ).

cnf(c_0_4906,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_P1676879539t_bool(X2,X1)) ),
    c_0_3540,
    [final] ).

cnf(c_0_4907,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
    c_0_3541,
    [final] ).

cnf(c_0_4908,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_A416869060i_bool(X2,X1)) ),
    c_0_3542,
    [final] ).

cnf(c_0_4909,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    c_0_3543,
    [final] ).

cnf(c_0_4910,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3544,
    [final] ).

cnf(c_0_4911,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3545,
    [final] ).

cnf(c_0_4912,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3546,
    [final] ).

cnf(c_0_4913,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3547,
    [final] ).

cnf(c_0_4914,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3548,
    [final] ).

cnf(c_0_4915,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    c_0_3549,
    [final] ).

cnf(c_0_4916,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3550,
    [final] ).

cnf(c_0_4917,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3551,
    [final] ).

cnf(c_0_4918,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3552,
    [final] ).

cnf(c_0_4919,plain,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    c_0_3553,
    [final] ).

cnf(c_0_4920,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3554,
    [final] ).

cnf(c_0_4921,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3555,
    [final] ).

cnf(c_0_4922,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3556,
    [final] ).

cnf(c_0_4923,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3557,
    [final] ).

cnf(c_0_4924,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    c_0_3558,
    [final] ).

cnf(c_0_4925,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    c_0_3559,
    [final] ).

cnf(c_0_4926,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    c_0_3560,
    [final] ).

cnf(c_0_4927,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    c_0_3561,
    [final] ).

cnf(c_0_4928,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3562,
    [final] ).

cnf(c_0_4929,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    c_0_3563,
    [final] ).

cnf(c_0_4930,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    c_0_3564,
    [final] ).

cnf(c_0_4931,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    c_0_3565,
    [final] ).

cnf(c_0_4932,plain,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    c_0_3566,
    [final] ).

cnf(c_0_4933,plain,
    ( X2 = X1
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    c_0_3567,
    [final] ).

cnf(c_0_4934,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,esk73_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk72_2(X1,X2)) ),
    c_0_3568,
    [final] ).

cnf(c_0_4935,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,esk71_2(X1,X2)) = hAPP_nat_nat(X1,esk70_2(X1,X2)) ),
    c_0_3569,
    [final] ).

cnf(c_0_4936,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,esk32_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk31_2(X1,X2)) ),
    c_0_3570,
    [final] ).

cnf(c_0_4937,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,esk30_2(X1,X2)) = hAPP_nat_nat(X1,esk29_2(X1,X2)) ),
    c_0_3571,
    [final] ).

cnf(c_0_4938,plain,
    ( hBOOL(top_top_bool)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    c_0_3572,
    [final] ).

cnf(c_0_4939,plain,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    c_0_3573,
    [final] ).

cnf(c_0_4940,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
    c_0_3574,
    [final] ).

cnf(c_0_4941,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))),
    c_0_3575,
    [final] ).

cnf(c_0_4942,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    c_0_3576,
    [final] ).

cnf(c_0_4943,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    c_0_3577,
    [final] ).

cnf(c_0_4944,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    c_0_3578,
    [final] ).

cnf(c_0_4945,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    c_0_3579,
    [final] ).

cnf(c_0_4946,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    c_0_3580,
    [final] ).

cnf(c_0_4947,plain,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
    c_0_3581,
    [final] ).

cnf(c_0_4948,plain,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
    c_0_3582,
    [final] ).

cnf(c_0_4949,plain,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
    c_0_3583,
    [final] ).

cnf(c_0_4950,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3584,
    [final] ).

cnf(c_0_4951,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3585,
    [final] ).

cnf(c_0_4952,plain,
    ( X1 = top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3586,
    [final] ).

cnf(c_0_4953,plain,
    ( X1 = top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3587,
    [final] ).

cnf(c_0_4954,plain,
    ( X1 = top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3588,
    [final] ).

cnf(c_0_4955,plain,
    ( X1 = top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3589,
    [final] ).

cnf(c_0_4956,plain,
    ( X1 = top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1) ),
    c_0_3590,
    [final] ).

cnf(c_0_4957,plain,
    ( X1 = top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_3591,
    [final] ).

cnf(c_0_4958,plain,
    ( X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
    c_0_3592,
    [final] ).

cnf(c_0_4959,plain,
    ( X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
    c_0_3593,
    [final] ).

cnf(c_0_4960,plain,
    ( X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
    c_0_3594,
    [final] ).

cnf(c_0_4961,plain,
    ( X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
    c_0_3595,
    [final] ).

cnf(c_0_4962,plain,
    ( X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
    c_0_3596,
    [final] ).

cnf(c_0_4963,plain,
    ( X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
    c_0_3597,
    [final] ).

cnf(c_0_4964,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    c_0_3598,
    [final] ).

cnf(c_0_4965,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    c_0_3599,
    [final] ).

cnf(c_0_4966,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    c_0_3600,
    [final] ).

cnf(c_0_4967,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    c_0_3601,
    [final] ).

cnf(c_0_4968,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    c_0_3602,
    [final] ).

cnf(c_0_4969,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    c_0_3603,
    [final] ).

cnf(c_0_4970,plain,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    c_0_3604,
    [final] ).

cnf(c_0_4971,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat)))
    | X1 != zero_zero_nat ),
    c_0_3605,
    [final] ).

cnf(c_0_4972,plain,
    ( X1 != top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool)) ),
    c_0_3606,
    [final] ).

cnf(c_0_4973,plain,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
    c_0_3607,
    [final] ).

cnf(c_0_4974,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
    c_0_3608,
    [final] ).

cnf(c_0_4975,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    c_0_3609,
    [final] ).

cnf(c_0_4976,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    c_0_3610,
    [final] ).

cnf(c_0_4977,plain,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    c_0_3611,
    [final] ).

cnf(c_0_4978,plain,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    c_0_3612,
    [final] ).

cnf(c_0_4979,plain,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    c_0_3613,
    [final] ).

cnf(c_0_4980,plain,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    c_0_3614,
    [final] ).

cnf(c_0_4981,plain,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X1)),
    c_0_3615,
    [final] ).

cnf(c_0_4982,plain,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X1)),
    c_0_3616,
    [final] ).

cnf(c_0_4983,plain,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X1)),
    c_0_3617,
    [final] ).

cnf(c_0_4984,plain,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X1)),
    c_0_3618,
    [final] ).

cnf(c_0_4985,plain,
    ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
    c_0_3619,
    [final] ).

cnf(c_0_4986,plain,
    ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X1)),
    c_0_3620,
    [final] ).

cnf(c_0_4987,plain,
    ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X1)),
    c_0_3621,
    [final] ).

cnf(c_0_4988,plain,
    ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X1)),
    c_0_3622,
    [final] ).

cnf(c_0_4989,plain,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    c_0_3623,
    [final] ).

cnf(c_0_4990,plain,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),top_top_fun_nat_bool)) ),
    c_0_3624,
    [final] ).

cnf(c_0_4991,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3) ),
    c_0_3625,
    [final] ).

cnf(c_0_4992,plain,
    ( hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | X2 != X1 ),
    c_0_3626,
    [final] ).

cnf(c_0_4993,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | is_fun20916972t_bool(esk51_2(X2,X1)) ),
    c_0_3627,
    [final] ).

cnf(c_0_4994,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | is_Arr859726945e_indi(esk49_2(X2,X1)) ),
    c_0_3628,
    [final] ).

cnf(c_0_4995,plain,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | is_bool(esk47_2(X2,X1)) ),
    c_0_3629,
    [final] ).

cnf(c_0_4996,plain,
    hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)) = hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X1,X2),X3),
    c_0_3630,
    [final] ).

cnf(c_0_4997,plain,
    hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)) = hAPP_A340536322t_bool(cOMBS_178315313t_bool(X1,X2),X3),
    c_0_3631,
    [final] ).

cnf(c_0_4998,plain,
    hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X3),hAPP_nat_bool(X2,X3)) = hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X2),X3),
    c_0_3632,
    [final] ).

cnf(c_0_4999,plain,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X1),X2))),
    c_0_3633,
    [final] ).

cnf(c_0_5000,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3634,
    [final] ).

cnf(c_0_5001,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3635,
    [final] ).

cnf(c_0_5002,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    c_0_3636,
    [final] ).

cnf(c_0_5003,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    c_0_3637,
    [final] ).

cnf(c_0_5004,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    c_0_3638,
    [final] ).

cnf(c_0_5005,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    c_0_3639,
    [final] ).

cnf(c_0_5006,plain,
    ( hAPP_nat_nat(X1,X2) = hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | X2 != X3 ),
    c_0_3640,
    [final] ).

cnf(c_0_5007,plain,
    hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X1),X2),X3) = hAPP_b910261233t_bool(X1,hAPP_A416869060i_bool(X2,X3)),
    c_0_3641,
    [final] ).

cnf(c_0_5008,plain,
    hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X1),X2),X3) = hAPP_f372913425t_bool(X1,hAPP_A643475905l_bool(X2,X3)),
    c_0_3642,
    [final] ).

cnf(c_0_5009,plain,
    hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X1),X2),X3) = hAPP_f684072049t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    c_0_3643,
    [final] ).

cnf(c_0_5010,plain,
    hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X1),X2),X3) = hAPP_f1656652505l_bool(X1,hAPP_A1171966089le_alt(X2,X3)),
    c_0_3644,
    [final] ).

cnf(c_0_5011,plain,
    hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X1),X2),X3) = hAPP_f102394819t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    c_0_3645,
    [final] ).

cnf(c_0_5012,plain,
    hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X1),X2),X3) = hAPP_P1151433609l_bool(X1,hAPP_A1561816353le_alt(X2,X3)),
    c_0_3646,
    [final] ).

cnf(c_0_5013,plain,
    hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A1895296483di_nat(X2,X3)),
    c_0_3647,
    [final] ).

cnf(c_0_5014,plain,
    hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X1),X2),X3) = hAPP_n215258509l_bool(X1,hAPP_nat_nat(X2,X3)),
    c_0_3648,
    [final] ).

cnf(c_0_5015,plain,
    hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)),
    c_0_3649,
    [final] ).

cnf(c_0_5016,plain,
    hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)),
    c_0_3650,
    [final] ).

cnf(c_0_5017,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 != hAPP_nat_nat(suc,X2) ),
    c_0_3651,
    [final] ).

cnf(c_0_5018,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    c_0_3652,
    [final] ).

cnf(c_0_5019,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    c_0_3653,
    [final] ).

cnf(c_0_5020,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    c_0_3654,
    [final] ).

cnf(c_0_5021,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    c_0_3655,
    [final] ).

cnf(c_0_5022,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    c_0_3656,
    [final] ).

cnf(c_0_5023,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3657,
    [final] ).

cnf(c_0_5024,plain,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3658,
    [final] ).

cnf(c_0_5025,plain,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3659,
    [final] ).

cnf(c_0_5026,plain,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3660,
    [final] ).

cnf(c_0_5027,plain,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X1),X2) = X2
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3661,
    [final] ).

cnf(c_0_5028,plain,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3662,
    [final] ).

cnf(c_0_5029,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | esk73_2(X1,X2) != esk72_2(X1,X2) ),
    c_0_3663,
    [final] ).

cnf(c_0_5030,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | esk71_2(X1,X2) != esk70_2(X1,X2) ),
    c_0_3664,
    [final] ).

cnf(c_0_5031,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | esk32_2(X1,X2) != esk31_2(X1,X2) ),
    c_0_3665,
    [final] ).

cnf(c_0_5032,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | esk30_2(X1,X2) != esk29_2(X1,X2) ),
    c_0_3666,
    [final] ).

cnf(c_0_5033,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    c_0_3667,
    [final] ).

cnf(c_0_5034,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    c_0_3668,
    [final] ).

cnf(c_0_5035,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    c_0_3669,
    [final] ).

cnf(c_0_5036,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    c_0_3670,
    [final] ).

cnf(c_0_5037,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    c_0_3671,
    [final] ).

cnf(c_0_5038,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(X1)
    | ~ hBOOL(top_top_bool) ),
    c_0_3672,
    [final] ).

cnf(c_0_5039,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    c_0_3673,
    [final] ).

cnf(c_0_5040,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
    | X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3674,
    [final] ).

cnf(c_0_5041,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
    | X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3675,
    [final] ).

cnf(c_0_5042,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
    | X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3676,
    [final] ).

cnf(c_0_5043,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
    | X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1) ),
    c_0_3677,
    [final] ).

cnf(c_0_5044,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
    | X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3678,
    [final] ).

cnf(c_0_5045,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
    | X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_3679,
    [final] ).

cnf(c_0_5046,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,esk42_1(X1)) = hAPP_A1895296483di_nat(X1,esk41_1(X1)) ),
    c_0_3680,
    [final] ).

cnf(c_0_5047,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,esk40_1(X1)) = hAPP_nat_nat(X1,esk39_1(X1)) ),
    c_0_3681,
    [final] ).

cnf(c_0_5048,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
    | X1 != X2 ),
    c_0_3682,
    [final] ).

cnf(c_0_5049,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3683,
    [final] ).

cnf(c_0_5050,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3684,
    [final] ).

cnf(c_0_5051,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3685,
    [final] ).

cnf(c_0_5052,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3686,
    [final] ).

cnf(c_0_5053,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    c_0_3687,
    [final] ).

cnf(c_0_5054,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3688,
    [final] ).

cnf(c_0_5055,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    c_0_3689,
    [final] ).

cnf(c_0_5056,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3690,
    [final] ).

cnf(c_0_5057,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    c_0_3691,
    [final] ).

cnf(c_0_5058,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3692,
    [final] ).

cnf(c_0_5059,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3693,
    [final] ).

cnf(c_0_5060,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3694,
    [final] ).

cnf(c_0_5061,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3695,
    [final] ).

cnf(c_0_5062,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    c_0_3696,
    [final] ).

cnf(c_0_5063,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3697,
    [final] ).

cnf(c_0_5064,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 != X2 ),
    c_0_3698,
    [final] ).

cnf(c_0_5065,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    c_0_3699,
    [final] ).

cnf(c_0_5066,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    c_0_3700,
    [final] ).

cnf(c_0_5067,plain,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool ),
    c_0_3701,
    [final] ).

cnf(c_0_5068,plain,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool ),
    c_0_3702,
    [final] ).

cnf(c_0_5069,plain,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool ),
    c_0_3703,
    [final] ).

cnf(c_0_5070,plain,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool ),
    c_0_3704,
    [final] ).

cnf(c_0_5071,plain,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool ),
    c_0_3705,
    [final] ).

cnf(c_0_5072,plain,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool ),
    c_0_3706,
    [final] ).

cnf(c_0_5073,plain,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3707,
    [final] ).

cnf(c_0_5074,plain,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3708,
    [final] ).

cnf(c_0_5075,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool)
    | hBOOL(X1) ),
    c_0_3709,
    [final] ).

cnf(c_0_5076,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    c_0_3710,
    [final] ).

cnf(c_0_5077,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    c_0_3711,
    [final] ).

cnf(c_0_5078,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    c_0_3712,
    [final] ).

cnf(c_0_5079,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    c_0_3713,
    [final] ).

cnf(c_0_5080,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    c_0_3714,
    [final] ).

cnf(c_0_5081,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    c_0_3715,
    [final] ).

cnf(c_0_5082,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk27_0),finite354462354e_indi(top_to207207712i_bool))),
    c_0_3716,
    [final] ).

cnf(c_0_5083,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk26_0),finite354462354e_indi(top_to207207712i_bool))),
    c_0_3717,
    [final] ).

cnf(c_0_5084,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    c_0_3718,
    [final] ).

cnf(c_0_5085,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    c_0_3719,
    [final] ).

cnf(c_0_5086,plain,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)),
    c_0_3720,
    [final] ).

cnf(c_0_5087,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    c_0_3721,
    [final] ).

cnf(c_0_5088,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
    | X1 != zero_zero_nat ),
    c_0_3722,
    [final] ).

cnf(c_0_5089,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool))
    | X1 = top_top_fun_nat_bool ),
    c_0_3723,
    [final] ).

cnf(c_0_5090,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1),
    c_0_3724,
    [final] ).

cnf(c_0_5091,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk72_2(X1,X2)) ),
    c_0_3725,
    [final] ).

cnf(c_0_5092,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk73_2(X1,X2)) ),
    c_0_3726,
    [final] ).

cnf(c_0_5093,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    c_0_3727,
    [final] ).

cnf(c_0_5094,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    c_0_3728,
    [final] ).

cnf(c_0_5095,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    c_0_3729,
    [final] ).

cnf(c_0_5096,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    c_0_3730,
    [final] ).

cnf(c_0_5097,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    c_0_3731,
    [final] ).

cnf(c_0_5098,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    c_0_3732,
    [final] ).

cnf(c_0_5099,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    c_0_3733,
    [final] ).

cnf(c_0_5100,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk31_2(X1,X2)) ),
    c_0_3734,
    [final] ).

cnf(c_0_5101,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(esk32_2(X1,X2)) ),
    c_0_3735,
    [final] ).

cnf(c_0_5102,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    c_0_3736,
    [final] ).

cnf(c_0_5103,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    c_0_3737,
    [final] ).

cnf(c_0_5104,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    c_0_3738,
    [final] ).

cnf(c_0_5105,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    c_0_3739,
    [final] ).

cnf(c_0_5106,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    c_0_3740,
    [final] ).

cnf(c_0_5107,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    c_0_3741,
    [final] ).

cnf(c_0_5108,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    c_0_3742,
    [final] ).

cnf(c_0_5109,plain,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),top_top_bool)),
    c_0_3743,
    [final] ).

cnf(c_0_5110,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    c_0_3744,
    [final] ).

cnf(c_0_5111,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    c_0_3745,
    [final] ).

cnf(c_0_5112,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    c_0_3746,
    [final] ).

cnf(c_0_5113,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    c_0_3747,
    [final] ).

cnf(c_0_5114,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    c_0_3748,
    [final] ).

cnf(c_0_5115,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    c_0_3749,
    [final] ).

cnf(c_0_5116,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    c_0_3750,
    [final] ).

cnf(c_0_5117,plain,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    c_0_3751,
    [final] ).

cnf(c_0_5118,plain,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    c_0_3752,
    [final] ).

cnf(c_0_5119,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    c_0_3753,
    [final] ).

cnf(c_0_5120,plain,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    c_0_3754,
    [final] ).

cnf(c_0_5121,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    c_0_3755,
    [final] ).

cnf(c_0_5122,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    c_0_3756,
    [final] ).

cnf(c_0_5123,plain,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    c_0_3757,
    [final] ).

cnf(c_0_5124,plain,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    c_0_3758,
    [final] ).

cnf(c_0_5125,plain,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    c_0_3759,
    [final] ).

cnf(c_0_5126,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
    | X1 != top_top_fun_nat_bool ),
    c_0_3760,
    [final] ).

cnf(c_0_5127,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    c_0_3761,
    [final] ).

cnf(c_0_5128,plain,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    c_0_3762,
    [final] ).

cnf(c_0_5129,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    c_0_3763,
    [final] ).

cnf(c_0_5130,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    c_0_3764,
    [final] ).

cnf(c_0_5131,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3765,
    [final] ).

cnf(c_0_5132,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    c_0_3766,
    [final] ).

cnf(c_0_5133,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    c_0_3767,
    [final] ).

cnf(c_0_5134,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    c_0_3768,
    [final] ).

cnf(c_0_5135,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk63_0),arrow_912654623le_Lin)),
    c_0_3769,
    [final] ).

cnf(c_0_5136,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk19_0),arrow_912654623le_Lin)),
    c_0_3770,
    [final] ).

cnf(c_0_5137,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk18_0),arrow_912654623le_Lin)),
    c_0_3771,
    [final] ).

cnf(c_0_5138,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    c_0_3772,
    [final] ).

cnf(c_0_5139,plain,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    c_0_3773,
    [final] ).

cnf(c_0_5140,plain,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    c_0_3774,
    [final] ).

cnf(c_0_5141,plain,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != X2 ),
    c_0_3775,
    [final] ).

cnf(c_0_5142,plain,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    c_0_3776,
    [final] ).

cnf(c_0_5143,plain,
    ( X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    c_0_3777,
    [final] ).

cnf(c_0_5144,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | esk42_1(X1) != esk41_1(X1) ),
    c_0_3778,
    [final] ).

cnf(c_0_5145,plain,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | esk40_1(X1) != esk39_1(X1) ),
    c_0_3779,
    [final] ).

cnf(c_0_5146,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(esk41_1(X1)) ),
    c_0_3780,
    [final] ).

cnf(c_0_5147,plain,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(esk42_1(X1)) ),
    c_0_3781,
    [final] ).

cnf(c_0_5148,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat) = hAPP_nat_nat(suc,X1),
    c_0_3782,
    [final] ).

cnf(c_0_5149,plain,
    hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)) = hAPP_n1699378549t_bool(ord_less_nat,X1),
    c_0_3783,
    [final] ).

cnf(c_0_5150,plain,
    ( X2 = X1
    | is_fun20916972t_bool(esk25_2(X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3784,
    [final] ).

cnf(c_0_5151,plain,
    ( X1 = X2
    | is_Arr723427730le_alt(esk20_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3785,
    [final] ).

cnf(c_0_5152,plain,
    ( X1 = X2
    | is_Arr723427730le_alt(esk21_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3786,
    [final] ).

cnf(c_0_5153,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X1) = hAPP_nat_nat(suc,X1),
    c_0_3787,
    [final] ).

cnf(c_0_5154,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)) ),
    c_0_3788,
    [final] ).

cnf(c_0_5155,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)) ),
    c_0_3789,
    [final] ).

cnf(c_0_5156,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)) ),
    c_0_3790,
    [final] ).

cnf(c_0_5157,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)) ),
    c_0_3791,
    [final] ).

cnf(c_0_5158,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)) ),
    c_0_3792,
    [final] ).

cnf(c_0_5159,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)) ),
    c_0_3793,
    [final] ).

cnf(c_0_5160,plain,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
    c_0_3794,
    [final] ).

cnf(c_0_5161,plain,
    ( hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_3795,
    [final] ).

cnf(c_0_5162,plain,
    ( hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1),X2) = X1
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3796,
    [final] ).

cnf(c_0_5163,plain,
    ( hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3797,
    [final] ).

cnf(c_0_5164,plain,
    ( hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_3798,
    [final] ).

cnf(c_0_5165,plain,
    ( hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1),X2) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3799,
    [final] ).

cnf(c_0_5166,plain,
    ( hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3800,
    [final] ).

cnf(c_0_5167,plain,
    ( hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3801,
    [final] ).

cnf(c_0_5168,plain,
    ( hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3802,
    [final] ).

cnf(c_0_5169,plain,
    ( hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3803,
    [final] ).

cnf(c_0_5170,plain,
    ( hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3804,
    [final] ).

cnf(c_0_5171,plain,
    ( hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3805,
    [final] ).

cnf(c_0_5172,plain,
    ( hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3806,
    [final] ).

cnf(c_0_5173,plain,
    ( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_3807,
    [final] ).

cnf(c_0_5174,plain,
    ( is_bool(hAPP_A416869060i_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3808,
    [final] ).

cnf(c_0_5175,plain,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat
    | X2 != zero_zero_nat
    | X1 != zero_zero_nat ),
    c_0_3809,
    [final] ).

cnf(c_0_5176,plain,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    c_0_3810,
    [final] ).

cnf(c_0_5177,plain,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    c_0_3811,
    [final] ).

cnf(c_0_5178,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(esk7_1(X1)) ),
    c_0_3812,
    [final] ).

cnf(c_0_5179,plain,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(esk8_1(X1)) ),
    c_0_3813,
    [final] ).

cnf(c_0_5180,plain,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    c_0_3814,
    [final] ).

cnf(c_0_5181,plain,
    hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X1),X2) = X1,
    c_0_3815,
    [final] ).

cnf(c_0_5182,plain,
    hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X1),X2) = X1,
    c_0_3816,
    [final] ).

cnf(c_0_5183,plain,
    hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X1),X2) = X1,
    c_0_3817,
    [final] ).

cnf(c_0_5184,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(esk16_1(X1)) ),
    c_0_3818,
    [final] ).

cnf(c_0_5185,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(esk17_1(X1)) ),
    c_0_3819,
    [final] ).

cnf(c_0_5186,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(esk12_1(X1)) ),
    c_0_3820,
    [final] ).

cnf(c_0_5187,plain,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(esk13_1(X1)) ),
    c_0_3821,
    [final] ).

cnf(c_0_5188,plain,
    ( is_bool(hAPP_P1813625415t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3822,
    [final] ).

cnf(c_0_5189,plain,
    ( is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3823,
    [final] ).

cnf(c_0_5190,plain,
    ( is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3824,
    [final] ).

cnf(c_0_5191,plain,
    ( is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3825,
    [final] ).

cnf(c_0_5192,plain,
    ( is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3826,
    [final] ).

cnf(c_0_5193,plain,
    ( is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3827,
    [final] ).

cnf(c_0_5194,plain,
    ( is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    c_0_3828,
    [final] ).

cnf(c_0_5195,plain,
    ( is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    c_0_3829,
    [final] ).

cnf(c_0_5196,plain,
    ( is_bool(hAPP_f560517119l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    c_0_3830,
    [final] ).

cnf(c_0_5197,plain,
    ( is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    c_0_3831,
    [final] ).

cnf(c_0_5198,plain,
    ( is_bool(hAPP_f322109294l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    c_0_3832,
    [final] ).

cnf(c_0_5199,plain,
    ( is_bool(hAPP_f446648900l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X1) ),
    c_0_3833,
    [final] ).

cnf(c_0_5200,plain,
    ( is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    c_0_3834,
    [final] ).

cnf(c_0_5201,plain,
    ( is_bool(hAPP_f147218624l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    c_0_3835,
    [final] ).

cnf(c_0_5202,plain,
    ( is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    c_0_3836,
    [final] ).

cnf(c_0_5203,plain,
    ( is_bool(hAPP_f2028818269l_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    c_0_3837,
    [final] ).

cnf(c_0_5204,plain,
    ( is_bool(hAPP_f1378099862l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3838,
    [final] ).

cnf(c_0_5205,plain,
    ( is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    c_0_3839,
    [final] ).

cnf(c_0_5206,plain,
    ( is_bool(hAPP_f160177134l_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    c_0_3840,
    [final] ).

cnf(c_0_5207,plain,
    ( is_bool(hAPP_P1676879539t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3841,
    [final] ).

cnf(c_0_5208,plain,
    ( is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2))
    | ~ is_fun1084921220e_indi(X1) ),
    c_0_3842,
    [final] ).

cnf(c_0_5209,plain,
    ( is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3843,
    [final] ).

cnf(c_0_5210,plain,
    ( is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3844,
    [final] ).

cnf(c_0_5211,plain,
    ( is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3845,
    [final] ).

cnf(c_0_5212,plain,
    ( is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3846,
    [final] ).

cnf(c_0_5213,plain,
    ( is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3847,
    [final] ).

cnf(c_0_5214,plain,
    ( is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3848,
    [final] ).

cnf(c_0_5215,plain,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_3849,
    [final] ).

cnf(c_0_5216,plain,
    ( is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3850,
    [final] ).

cnf(c_0_5217,plain,
    ( is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3851,
    [final] ).

cnf(c_0_5218,plain,
    ( is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3852,
    [final] ).

cnf(c_0_5219,plain,
    ( is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    c_0_3853,
    [final] ).

cnf(c_0_5220,plain,
    ( is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3854,
    [final] ).

cnf(c_0_5221,plain,
    ( is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3855,
    [final] ).

cnf(c_0_5222,plain,
    ( is_bool(hAPP_A1120018583t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    c_0_3856,
    [final] ).

cnf(c_0_5223,plain,
    ( is_fun1084921220e_indi(hilber951314860di_nat(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3857,
    [final] ).

cnf(c_0_5224,plain,
    ( is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3858,
    [final] ).

cnf(c_0_5225,plain,
    ( is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3859,
    [final] ).

cnf(c_0_5226,plain,
    ( is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3860,
    [final] ).

cnf(c_0_5227,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X1)),
    c_0_3861,
    [final] ).

cnf(c_0_5228,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),zero_zero_nat) = X1,
    c_0_3862,
    [final] ).

cnf(c_0_5229,plain,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X1)),
    c_0_3863,
    [final] ).

cnf(c_0_5230,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X1) = X1,
    c_0_3864,
    [final] ).

cnf(c_0_5231,plain,
    pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    c_0_3865,
    [final] ).

cnf(c_0_5232,plain,
    pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    c_0_3866,
    [final] ).

cnf(c_0_5233,plain,
    pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    c_0_3867,
    [final] ).

cnf(c_0_5234,plain,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(esk98_0),top_to207207712i_bool)),
    c_0_3868,
    [final] ).

cnf(c_0_5235,plain,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    c_0_3869,
    [final] ).

cnf(c_0_5236,plain,
    pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)) = arrow_583275979e_Prof,
    c_0_3870,
    [final] ).

cnf(c_0_5237,plain,
    ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3871,
    [final] ).

cnf(c_0_5238,plain,
    ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3872,
    [final] ).

cnf(c_0_5239,plain,
    ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3873,
    [final] ).

cnf(c_0_5240,plain,
    ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3874,
    [final] ).

cnf(c_0_5241,plain,
    ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3875,
    [final] ).

cnf(c_0_5242,plain,
    ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3876,
    [final] ).

cnf(c_0_5243,plain,
    ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    c_0_3877,
    [final] ).

cnf(c_0_5244,plain,
    hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) = image_837079859di_nat(esk98_0,top_to207207712i_bool),
    c_0_3878,
    [final] ).

cnf(c_0_5245,plain,
    hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) = image_837079859di_nat(h,top_to207207712i_bool),
    c_0_3879,
    [final] ).

cnf(c_0_5246,plain,
    is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
    c_0_3880,
    [final] ).

cnf(c_0_5247,plain,
    is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
    c_0_3881,
    [final] ).

cnf(c_0_5248,plain,
    is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
    c_0_3882,
    [final] ).

cnf(c_0_5249,plain,
    is_bool(hAPP_f557371893l_bool(X1,X2)),
    c_0_3883,
    [final] ).

cnf(c_0_5250,plain,
    is_bool(hAPP_f817344902l_bool(X1,X2)),
    c_0_3884,
    [final] ).

cnf(c_0_5251,plain,
    is_bool(hAPP_f1363425282l_bool(X1,X2)),
    c_0_3885,
    [final] ).

cnf(c_0_5252,plain,
    is_bool(hAPP_f1384787615l_bool(X1,X2)),
    c_0_3886,
    [final] ).

cnf(c_0_5253,plain,
    is_bool(hAPP_f560261801l_bool(X1,X2)),
    c_0_3887,
    [final] ).

cnf(c_0_5254,plain,
    is_bool(hAPP_f1021828400l_bool(X1,X2)),
    c_0_3888,
    [final] ).

cnf(c_0_5255,plain,
    is_bool(hAPP_f966397426l_bool(X1,X2)),
    c_0_3889,
    [final] ).

cnf(c_0_5256,plain,
    is_bool(hAPP_f750478076l_bool(X1,X2)),
    c_0_3890,
    [final] ).

cnf(c_0_5257,plain,
    is_bool(hAPP_f742658307l_bool(X1,X2)),
    c_0_3891,
    [final] ).

cnf(c_0_5258,plain,
    is_bool(hAPP_f1082951236l_bool(X1,X2)),
    c_0_3892,
    [final] ).

cnf(c_0_5259,plain,
    is_bool(hAPP_f1138659662l_bool(X1,X2)),
    c_0_3893,
    [final] ).

cnf(c_0_5260,plain,
    is_bool(hAPP_f882250837l_bool(X1,X2)),
    c_0_3894,
    [final] ).

cnf(c_0_5261,plain,
    is_bool(hAPP_f1117143157l_bool(X1,X2)),
    c_0_3895,
    [final] ).

cnf(c_0_5262,plain,
    is_bool(hAPP_f1965705105l_bool(X1,X2)),
    c_0_3896,
    [final] ).

cnf(c_0_5263,plain,
    is_bool(hAPP_f1597773170l_bool(X1,X2)),
    c_0_3897,
    [final] ).

cnf(c_0_5264,plain,
    is_bool(hAPP_f866114756l_bool(X1,X2)),
    c_0_3898,
    [final] ).

cnf(c_0_5265,plain,
    is_bool(hAPP_f339859954l_bool(X1,X2)),
    c_0_3899,
    [final] ).

cnf(c_0_5266,plain,
    is_bool(hAPP_f537623936l_bool(X1,X2)),
    c_0_3900,
    [final] ).

cnf(c_0_5267,plain,
    is_bool(hAPP_f1426445843l_bool(X1,X2)),
    c_0_3901,
    [final] ).

cnf(c_0_5268,plain,
    is_bool(hAPP_f1637334154l_bool(X1,X2)),
    c_0_3902,
    [final] ).

cnf(c_0_5269,plain,
    is_bool(hAPP_f1428735377l_bool(X1,X2)),
    c_0_3903,
    [final] ).

cnf(c_0_5270,plain,
    is_bool(hAPP_f2053170815l_bool(X1,X2)),
    c_0_3904,
    [final] ).

cnf(c_0_5271,plain,
    is_bool(hAPP_f937100551l_bool(X1,X2)),
    c_0_3905,
    [final] ).

cnf(c_0_5272,plain,
    is_bool(hAPP_f740740988l_bool(X1,X2)),
    c_0_3906,
    [final] ).

cnf(c_0_5273,plain,
    is_bool(hAPP_f620747982l_bool(X1,X2)),
    c_0_3907,
    [final] ).

cnf(c_0_5274,plain,
    is_bool(hAPP_f67777128l_bool(X1,X2)),
    c_0_3908,
    [final] ).

cnf(c_0_5275,plain,
    is_bool(hAPP_f1291635206l_bool(X1,X2)),
    c_0_3909,
    [final] ).

cnf(c_0_5276,plain,
    is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
    c_0_3910,
    [final] ).

cnf(c_0_5277,plain,
    is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
    c_0_3911,
    [final] ).

cnf(c_0_5278,plain,
    is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
    c_0_3912,
    [final] ).

cnf(c_0_5279,plain,
    is_bool(hAPP_f2016919811l_bool(X1,X2)),
    c_0_3913,
    [final] ).

cnf(c_0_5280,plain,
    is_bool(hAPP_f1898839893l_bool(X1,X2)),
    c_0_3914,
    [final] ).

cnf(c_0_5281,plain,
    is_bool(hAPP_f599997089l_bool(X1,X2)),
    c_0_3915,
    [final] ).

cnf(c_0_5282,plain,
    is_bool(hAPP_f54304608l_bool(X1,X2)),
    c_0_3916,
    [final] ).

cnf(c_0_5283,plain,
    is_bool(hAPP_f387058535l_bool(X1,X2)),
    c_0_3917,
    [final] ).

cnf(c_0_5284,plain,
    is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
    c_0_3918,
    [final] ).

cnf(c_0_5285,plain,
    is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
    c_0_3919,
    [final] ).

cnf(c_0_5286,plain,
    is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
    c_0_3920,
    [final] ).

cnf(c_0_5287,plain,
    is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
    c_0_3921,
    [final] ).

cnf(c_0_5288,plain,
    is_bool(hAPP_f212509069l_bool(X1,X2)),
    c_0_3922,
    [final] ).

cnf(c_0_5289,plain,
    is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
    c_0_3923,
    [final] ).

cnf(c_0_5290,plain,
    is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
    c_0_3924,
    [final] ).

cnf(c_0_5291,plain,
    is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
    c_0_3925,
    [final] ).

cnf(c_0_5292,plain,
    is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
    c_0_3926,
    [final] ).

cnf(c_0_5293,plain,
    is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
    c_0_3927,
    [final] ).

cnf(c_0_5294,plain,
    is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
    c_0_3928,
    [final] ).

cnf(c_0_5295,plain,
    is_bool(hAPP_nat_bool(X1,X2)),
    c_0_3929,
    [final] ).

cnf(c_0_5296,plain,
    ( hAPP_nat_nat(suc,X1) = hAPP_nat_nat(suc,X2)
    | X1 != X2 ),
    c_0_3930,
    [final] ).

cnf(c_0_5297,plain,
    hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)),
    c_0_3931,
    [final] ).

cnf(c_0_5298,plain,
    hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)),
    c_0_3932,
    [final] ).

cnf(c_0_5299,plain,
    hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)),
    c_0_3933,
    [final] ).

cnf(c_0_5300,plain,
    hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)),
    c_0_3934,
    [final] ).

cnf(c_0_5301,plain,
    hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)),
    c_0_3935,
    [final] ).

cnf(c_0_5302,plain,
    hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)),
    c_0_3936,
    [final] ).

cnf(c_0_5303,plain,
    hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
    c_0_3937,
    [final] ).

cnf(c_0_5304,plain,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    c_0_3938,
    [final] ).

cnf(c_0_5305,plain,
    collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)) = top_top_fun_nat_bool,
    c_0_3939,
    [final] ).

cnf(c_0_5306,plain,
    collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)) = top_to1257323279t_bool,
    c_0_3940,
    [final] ).

cnf(c_0_5307,plain,
    collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)) = top_to207207712i_bool,
    c_0_3941,
    [final] ).

cnf(c_0_5308,plain,
    collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)) = top_to1773227171t_bool,
    c_0_3942,
    [final] ).

cnf(c_0_5309,plain,
    collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)) = top_to1849101472l_bool,
    c_0_3943,
    [final] ).

cnf(c_0_5310,plain,
    collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)) = top_to935749874l_bool,
    c_0_3944,
    [final] ).

cnf(c_0_5311,plain,
    collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)) = top_to846262053l_bool,
    c_0_3945,
    [final] ).

cnf(c_0_5312,plain,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    c_0_3946,
    [final] ).

cnf(c_0_5313,plain,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    c_0_3947,
    [final] ).

cnf(c_0_5314,plain,
    hAPP_nat_nat(suc,X1) != X1,
    c_0_3948,
    [final] ).

cnf(c_0_5315,plain,
    hAPP_nat_nat(suc,X1) != X1,
    c_0_3949,
    [final] ).

cnf(c_0_5316,plain,
    ( hAPP_nat_nat(suc,esk95_1(X1)) = X1
    | X1 = zero_zero_nat ),
    c_0_3950,
    [final] ).

cnf(c_0_5317,plain,
    ( hAPP_nat_nat(suc,esk94_1(X1)) = X1
    | X1 = zero_zero_nat ),
    c_0_3951,
    [final] ).

cnf(c_0_5318,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3952,
    [final] ).

cnf(c_0_5319,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3953,
    [final] ).

cnf(c_0_5320,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3954,
    [final] ).

cnf(c_0_5321,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3955,
    [final] ).

cnf(c_0_5322,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3956,
    [final] ).

cnf(c_0_5323,plain,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    c_0_3957,
    [final] ).

cnf(c_0_5324,plain,
    ( is_fun20916972t_bool(collec1376511890le_alt(X1))
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3958,
    [final] ).

cnf(c_0_5325,plain,
    ( is_fun1420103068l_bool(collec612883262t_bool(X1))
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_3959,
    [final] ).

cnf(c_0_5326,plain,
    ( is_fun292781289l_bool(collec1517527055t_bool(X1))
    | ~ is_fun292781289l_bool(X1) ),
    c_0_3960,
    [final] ).

cnf(c_0_5327,plain,
    ( is_fun701126715l_bool(collec1567922785t_bool(X1))
    | ~ is_fun701126715l_bool(X1) ),
    c_0_3961,
    [final] ).

cnf(c_0_5328,plain,
    ( is_fun1568535512t_bool(collect_Product_unit(X1))
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3962,
    [final] ).

cnf(c_0_5329,plain,
    ( is_fun2015243113i_bool(collec279390863e_indi(X1))
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3963,
    [final] ).

cnf(c_0_5330,plain,
    ( is_fun1420103068l_bool(inj_on398823523t_bool(X1))
    | ~ is_fun20916972t_bool(X1) ),
    c_0_3964,
    [final] ).

cnf(c_0_5331,plain,
    hAPP_nat_nat(cOMBI_nat,X1) = X1,
    c_0_3965,
    [final] ).

cnf(c_0_5332,plain,
    ( collec279390863e_indi(X1) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    c_0_3966,
    [final] ).

cnf(c_0_5333,plain,
    ( collect_Product_unit(X1) = X1
    | ~ is_fun1568535512t_bool(X1) ),
    c_0_3967,
    [final] ).

cnf(c_0_5334,plain,
    hAPP_nat_nat(suc,zero_zero_nat) = one_one_nat,
    c_0_3968,
    [final] ).

cnf(c_0_5335,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    c_0_3969,
    [final] ).

cnf(c_0_5336,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    c_0_3970,
    [final] ).

cnf(c_0_5337,plain,
    is_bool(undefined_bool(bool)),
    c_0_3971,
    [final] ).

cnf(c_0_5338,plain,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    c_0_3972,
    [final] ).

cnf(c_0_5339,plain,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    c_0_3973,
    [final] ).

cnf(c_0_5340,plain,
    collect_nat(X1) = X1,
    c_0_3974,
    [final] ).

cnf(c_0_5341,plain,
    ( X1 = one_one_nat
    | one_one_nat != X1 ),
    c_0_3975,
    [final] ).

cnf(c_0_5342,plain,
    ( one_one_nat = X1
    | X1 != one_one_nat ),
    c_0_3976,
    [final] ).

cnf(c_0_5343,plain,
    hBOOL(fTrue),
    c_0_3977,
    [final] ).

cnf(c_0_5344,plain,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    c_0_3978,
    [final] ).

cnf(c_0_5345,plain,
    is_fun20916972t_bool(esk63_0),
    c_0_3979,
    [final] ).

cnf(c_0_5346,plain,
    is_fun20916972t_bool(esk19_0),
    c_0_3980,
    [final] ).

cnf(c_0_5347,plain,
    is_fun20916972t_bool(esk18_0),
    c_0_3981,
    [final] ).

cnf(c_0_5348,plain,
    is_Arr723427730le_alt(e),
    c_0_3982,
    [final] ).

cnf(c_0_5349,plain,
    is_Arr723427730le_alt(b),
    c_0_3983,
    [final] ).

cnf(c_0_5350,plain,
    is_Arr723427730le_alt(a),
    c_0_3984,
    [final] ).

cnf(c_0_5351,plain,
    is_fun20916972t_bool(lba),
    c_0_3985,
    [final] ).

cnf(c_0_5352,plain,
    is_fun20916972t_bool(lab),
    c_0_3986,
    [final] ).

cnf(c_0_5353,plain,
    is_bool(fTrue),
    c_0_3987,
    [final] ).

cnf(c_0_5354,plain,
    is_bool(fFalse),
    c_0_3988,
    [final] ).

cnf(c_0_5355,plain,
    is_fun20916972t_bool(top_to1773227171t_bool),
    c_0_3989,
    [final] ).

cnf(c_0_5356,plain,
    is_fun1420103068l_bool(top_to846262053l_bool),
    c_0_3990,
    [final] ).

cnf(c_0_5357,plain,
    is_fun292781289l_bool(top_to1849101472l_bool),
    c_0_3991,
    [final] ).

cnf(c_0_5358,plain,
    is_fun701126715l_bool(top_to935749874l_bool),
    c_0_3992,
    [final] ).

cnf(c_0_5359,plain,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    c_0_3993,
    [final] ).

cnf(c_0_5360,plain,
    is_fun2015243113i_bool(top_to207207712i_bool),
    c_0_3994,
    [final] ).

cnf(c_0_5361,plain,
    is_bool(top_top_bool),
    c_0_3995,
    [final] ).

cnf(c_0_5362,plain,
    is_fun1420103068l_bool(finite955821396le_alt),
    c_0_3996,
    [final] ).

cnf(c_0_5363,plain,
    is_fun292781289l_bool(arrow_1550141362nimity),
    c_0_3997,
    [final] ).

cnf(c_0_5364,plain,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    c_0_3998,
    [final] ).

cnf(c_0_5365,plain,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    c_0_3999,
    [final] ).

cnf(c_0_5366,plain,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    c_0_4000,
    [final] ).

cnf(c_0_5367,plain,
    b != a,
    c_0_4001,
    [final] ).

cnf(c_0_5368,plain,
    d != c,
    c_0_4002,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4003_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4004_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4005_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4006_0,axiom,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_1,axiom,
    ( X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4007_0,axiom,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_1,axiom,
    ( X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4008_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4008]) ).

cnf(c_0_4008_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4008]) ).

cnf(c_0_4009_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4009]) ).

cnf(c_0_4009_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4009]) ).

cnf(c_0_4010_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4010]) ).

cnf(c_0_4010_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4010]) ).

cnf(c_0_4011_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_6,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_7,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_8,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_9,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_10,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_12,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4012_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_6,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_7,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_8,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_9,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_10,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_12,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4013_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_6,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_7,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_8,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_9,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_10,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_12,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_13,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4014_0,axiom,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_1,axiom,
    ( X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4015_0,axiom,
    ( X2 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_1,axiom,
    ( X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4016_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4016]) ).

cnf(c_0_4016_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4016]) ).

cnf(c_0_4017_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4017]) ).

cnf(c_0_4017_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
    inference(literals_permutation,[status(thm)],[c_0_4017]) ).

cnf(c_0_4018_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
    inference(literals_permutation,[status(thm)],[c_0_4018]) ).

cnf(c_0_4018_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4018]) ).

cnf(c_0_4026_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_1,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_5,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4027_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_1,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_5,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4028_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4029_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4030_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk27_0)) ),
    inference(literals_permutation,[status(thm)],[c_0_4030]) ).

cnf(c_0_4030_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk27_0))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4030]) ).

cnf(c_0_4031_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk26_0)) ),
    inference(literals_permutation,[status(thm)],[c_0_4031]) ).

cnf(c_0_4031_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk26_0))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4031]) ).

cnf(c_0_4032_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4032]) ).

cnf(c_0_4032_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4032]) ).

cnf(c_0_4034_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_3,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_7,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4035_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_3,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_7,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_A340536322t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4036_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_6,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_7,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_8,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4037_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_6,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_7,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_8,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_11,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A340536322t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4038_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_5,axiom,
    ( is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_6,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_7,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_8,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_9,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_Arr859726945e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4039_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_4,axiom,
    ( is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_6,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_7,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_8,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_9,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4040_0,axiom,
    ( X2 = X1
    | X4 = X3
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_1,axiom,
    ( X4 = X3
    | X2 = X1
    | X2 = X3
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_2,axiom,
    ( X2 = X3
    | X4 = X3
    | X2 = X1
    | X1 = X4
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_3,axiom,
    ( X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_4,axiom,
    ( is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_5,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_6,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_7,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_8,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_9,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_10,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_11,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_12,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
    | X1 = X4
    | X2 = X3
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4041_0,axiom,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_1,axiom,
    ( X4 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_2,axiom,
    ( is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4042_0,axiom,
    ( X2 = X1
    | X4 = X3
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_1,axiom,
    ( X4 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_2,axiom,
    ( is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(f,X6)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
    | X4 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4043_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4044_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4045_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_6,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4046_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_3,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_6,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_7,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4047_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4047_1,axiom,
    ( ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4048_0,axiom,
    ( hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4048_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1))
    | hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4049_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4050_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_1,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_5,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A340536322t_bool(X2,sk1_esk14_4(X1,X2,X4,X3))))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4051_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4052_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4053_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4054_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4054_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4054_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4054_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4055_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_2,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_6,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4056_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_2,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ is_Arr723427730le_alt(X5)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_6,axiom,
    ( ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X3)))
    | ~ is_Arr723427730le_alt(X5)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk9_5(X1,X2,X3,X5,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4057_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_3,axiom,
    ( is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4058_0,axiom,
    ( X2 = X1
    | X1 = X3
    | X2 = X3
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_1,axiom,
    ( X1 = X3
    | X2 = X1
    | X2 = X3
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_2,axiom,
    ( X2 = X3
    | X1 = X3
    | X2 = X1
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_3,axiom,
    ( is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_4,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_8,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_9,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_f1817389232t_bool(f,X5)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
    | X2 = X3
    | X1 = X3
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4059_0,axiom,
    ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4059]) ).

cnf(c_0_4059_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4059]) ).

cnf(c_0_4060_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4061_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_1,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_2,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4062_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_1,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_2,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4063_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,sk1_esk56_3(X2,X3,X1))),hAPP_nat_nat(X1,sk1_esk57_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4063_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,sk1_esk56_3(X2,X3,X1))),hAPP_nat_nat(X1,sk1_esk57_3(X2,X3,X1))))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4064_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4065_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4066_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4067_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4068_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4069_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4070_0,axiom,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4070_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1))
    | finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4071_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4072_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4073_0,axiom,
    ( X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | X1 = X2
    | ~ is_fun20916972t_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_2,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | X1 = X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | X1 = X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4074_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4074_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4074_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4074_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4075_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4076_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,sk1_esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,sk1_esk59_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4076]) ).

cnf(c_0_4076_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,sk1_esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,sk1_esk59_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4076]) ).

cnf(c_0_4076_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,sk1_esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,sk1_esk59_3(X2,X3,X1))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4076]) ).

cnf(c_0_4077_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4077_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4077_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4077_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4077_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4078_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4079_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X2,sk1_esk46_3(X2,X3,X1))),hAPP_f1895971544l_bool(X3,sk1_esk46_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4079]) ).

cnf(c_0_4079_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X2,sk1_esk46_3(X2,X3,X1))),hAPP_f1895971544l_bool(X3,sk1_esk46_3(X2,X3,X1))))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4079]) ).

cnf(c_0_4080_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X2,sk1_esk45_3(X2,X3,X1))),hAPP_A659996934l_bool(X3,sk1_esk45_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4080]) ).

cnf(c_0_4080_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X2,sk1_esk45_3(X2,X3,X1))),hAPP_A659996934l_bool(X3,sk1_esk45_3(X2,X3,X1))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4080]) ).

cnf(c_0_4081_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X2,sk1_esk44_3(X2,X3,X1))),hAPP_P1122857141l_bool(X3,sk1_esk44_3(X2,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4081]) ).

cnf(c_0_4081_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X2,sk1_esk44_3(X2,X3,X1))),hAPP_P1122857141l_bool(X3,sk1_esk44_3(X2,X3,X1))))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4081]) ).

cnf(c_0_4082_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4083_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4084_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4085_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk69_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,sk1_esk69_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4085]) ).

cnf(c_0_4085_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk69_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,sk1_esk69_3(X1,X3,X2))))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4085]) ).

cnf(c_0_4086_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk68_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,sk1_esk68_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4086]) ).

cnf(c_0_4086_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk68_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,sk1_esk68_3(X1,X3,X2))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4086]) ).

cnf(c_0_4087_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk67_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,sk1_esk67_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4087]) ).

cnf(c_0_4087_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk67_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,sk1_esk67_3(X1,X3,X2))))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4087]) ).

cnf(c_0_4088_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk36_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,sk1_esk36_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4088]) ).

cnf(c_0_4088_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk36_3(X1,X3,X2))),hAPP_f1895971544l_bool(X3,sk1_esk36_3(X1,X3,X2))))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4088]) ).

cnf(c_0_4089_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk35_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,sk1_esk35_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4089]) ).

cnf(c_0_4089_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk35_3(X1,X3,X2))),hAPP_A659996934l_bool(X3,sk1_esk35_3(X1,X3,X2))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4089]) ).

cnf(c_0_4090_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk34_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,sk1_esk34_3(X1,X3,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4090]) ).

cnf(c_0_4090_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk34_3(X1,X3,X2))),hAPP_P1122857141l_bool(X3,sk1_esk34_3(X1,X3,X2))))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4090]) ).

cnf(c_0_4091_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4092_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4092_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4092_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4092_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4093_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4094_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4094]) ).

cnf(c_0_4094_1,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4094]) ).

cnf(c_0_4094_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4094]) ).

cnf(c_0_4095_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4095]) ).

cnf(c_0_4095_1,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4095]) ).

cnf(c_0_4095_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk66_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4095]) ).

cnf(c_0_4096_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4096]) ).

cnf(c_0_4096_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4096]) ).

cnf(c_0_4096_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4096]) ).

cnf(c_0_4097_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4097_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4097_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk65_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4098_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4098_1,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4098_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4099_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4099_1,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4099_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk64_4(X1,X2,X3,X4)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4100_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4100_1,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4100_2,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4100_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4101_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4101_1,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4101_2,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4101_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X4,X2)))
    | hBOOL(hAPP_P1813625415t_bool(X3,sk1_esk64_4(X2,X1,X3,X4)))
    | hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk64_4(X2,X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4102_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4103_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4104_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4105_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4105_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4105_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4105_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4105_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4106_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_f1817389232t_bool(X1,sk1_esk22_2(X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4106_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_f1817389232t_bool(X1,sk1_esk22_2(X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4106_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_f1817389232t_bool(X1,sk1_esk22_2(X2,X1))))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4107_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4108_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4109_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4110_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4111_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_9,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4112_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_10,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4113_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4114_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_3,axiom,
    ( X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4115_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | X1 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_3,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | X1 = X2
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_4,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk20_2(X2,X1)),sk1_esk21_2(X2,X1))),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4116_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4116_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4116_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4116_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4116_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4117_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4117_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4117_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4117_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4117_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4118_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4118_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4118_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4118_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4118_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4119_0,axiom,
    ( finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) != zero_zero_nat
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4119]) ).

cnf(c_0_4119_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1))
    | finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4119]) ).

cnf(c_0_4120_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4120]) ).

cnf(c_0_4120_1,axiom,
    ( hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4120]) ).

cnf(c_0_4120_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4120]) ).

cnf(c_0_4121_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4121]) ).

cnf(c_0_4121_1,axiom,
    ( hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4121]) ).

cnf(c_0_4121_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X4,X2)))
    | hAPP_f1817389232t_bool(X1,sk1_esk66_4(X2,X1,X3,X4)) != hAPP_f1817389232t_bool(X3,sk1_esk66_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4121]) ).

cnf(c_0_4122_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4122]) ).

cnf(c_0_4122_1,axiom,
    ( hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4122]) ).

cnf(c_0_4122_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4122]) ).

cnf(c_0_4123_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4123_1,axiom,
    ( hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4123_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X2)))
    | hAPP_A340536322t_bool(X1,sk1_esk65_4(X2,X1,X3,X4)) != hAPP_A340536322t_bool(X3,sk1_esk65_4(X2,X1,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4124_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4124_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4124_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4124_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4125_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4125_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4125_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4125_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4126_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4126_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4126_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4126_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4127_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4127_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4127_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4127_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4128_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4128_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4128_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4128_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4128_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4129_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_9,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4130_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_10,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4131_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4131]) ).

cnf(c_0_4131_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4131]) ).

cnf(c_0_4131_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4131]) ).

cnf(c_0_4132_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4133_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_3,axiom,
    ( X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4134_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4134_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4134_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4134_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4135_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk62_3(X1,X3,X2))),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4135]) ).

cnf(c_0_4135_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,sk1_esk62_3(X1,X3,X2))),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4135]) ).

cnf(c_0_4136_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk61_3(X1,X3,X2))),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4136]) ).

cnf(c_0_4136_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,sk1_esk61_3(X1,X3,X2))),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4136]) ).

cnf(c_0_4137_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk60_3(X1,X3,X2))),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4137]) ).

cnf(c_0_4137_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,sk1_esk60_3(X1,X3,X2))),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4137]) ).

cnf(c_0_4138_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4139_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4140_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk56_3(X2,X3,X1)),sk1_esk57_3(X2,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4140]) ).

cnf(c_0_4140_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk56_3(X2,X3,X1)),sk1_esk57_3(X2,X3,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4140]) ).

cnf(c_0_4141_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4142_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_3,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4143_0,axiom,
    ( X2 = X1
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_6,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4144_0,axiom,
    ( X2 = X1
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_6,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X3)))
    | is_Arr859726945e_indi(sk1_esk5_4(X4,X3,X2,X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4145_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4146_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4147_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4148_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4149_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4150_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_3,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4151_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4152_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4153_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4154_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4154]) ).

cnf(c_0_4154_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4154]) ).

cnf(c_0_4154_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4154]) ).

cnf(c_0_4155_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4155_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4155_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4155_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4155_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4156_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4156_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4156_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4156_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4156_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4157_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4157_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4157_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4157_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4157_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4158_0,axiom,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_1,axiom,
    ( X4 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_3,axiom,
    ( X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_10,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X4 = X1
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4159_0,axiom,
    ( X2 = X1
    | X4 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_1,axiom,
    ( X4 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_3,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X1
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4160_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_6,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_8,axiom,
    ( X4 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4161_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4161_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4161_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4161_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4161_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4162_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4162_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4162_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4162_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4163_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4163_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4163_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4163_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4163_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4164_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4164_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4164_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4164_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4165_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4165_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4165_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4165_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4166_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4166_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4166_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4166_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk11_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_A340536322t_bool(sk1_esk10_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4167_0,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4168_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_A340536322t_bool(sk1_esk22_2(X2,X1),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4168_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_A340536322t_bool(sk1_esk22_2(X2,X1),X2)))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4168_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk23_2(X2,X1)),sk1_esk24_2(X2,X1))),hAPP_A340536322t_bool(sk1_esk22_2(X2,X1),X2)))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4169_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4170_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4170_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4170_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4171_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_9,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_10,axiom,
    ( X3 != X1
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4172_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_9,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4173_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_10,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4174_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_3,axiom,
    ( X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_10,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4175_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_4,axiom,
    ( X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_9,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4176_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_9,axiom,
    ( X4 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4177_0,axiom,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_1,axiom,
    ( X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_3,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_10,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X3 = X2
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4178_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4179_0,axiom,
    ( X2 = X1
    | X3 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_1,axiom,
    ( X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_3,axiom,
    ( X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 = X2
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4180_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_6,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_7,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_8,axiom,
    ( X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4181_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4182_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X1)),X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk80_2(X2,X1)),hAPP_nat_nat(X1,sk1_esk80_2(X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4182_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk80_2(X2,X1)),hAPP_nat_nat(X1,sk1_esk80_2(X2,X1))))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X1)),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4183_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4184_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_9,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_10,axiom,
    ( X4 != X2
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4185_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_9,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | X3 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4186_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_10,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4187_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_3,axiom,
    ( X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_9,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_10,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4188_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_4,axiom,
    ( X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_9,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_10,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4189_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_6,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_7,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_8,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_9,axiom,
    ( X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4190_0,axiom,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_4,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_5,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4191_0,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4191_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4191_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4192_0,axiom,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_5,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_7,axiom,
    ( X4 != X3
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4193_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4194_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4194_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4194_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4194_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4195_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4195_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4195_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk10_1(X1))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk12_1(X1)),sk1_esk13_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk11_1(X1))))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4196_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_5,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4197_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_1,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_5,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4198_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_1,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_2,axiom,
    ( X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4199_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_1,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_2,axiom,
    ( X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4200_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_2,axiom,
    ( X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4201_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_2,axiom,
    ( X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4202_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_2,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2)))
    | ~ is_Arr723427730le_alt(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr859726945e_indi(sk1_esk14_4(X1,X2,X4,X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_f1817389232t_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4203_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk58_3(X2,X3,X1)),sk1_esk59_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4203_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk58_3(X2,X3,X1)),sk1_esk59_3(X2,X3,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4203_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk58_3(X2,X3,X1)),sk1_esk59_3(X2,X3,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4204_0,axiom,
    ( X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_5,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X4 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_7,axiom,
    ( X4 != X3
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4205_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4205_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4205_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4205_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4206_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4206_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4206_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4206_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4207_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4208_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_2,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_3,axiom,
    ( X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4209_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_fun20916972t_bool(X2)
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_2,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | X1 != X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_3,axiom,
    ( X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_4,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_5,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_6,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X2))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | X1 != X2
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4210_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk16_1(X1)),sk1_esk17_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk15_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4210]) ).

cnf(c_0_4210_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk16_1(X1)),sk1_esk17_1(X1))),hAPP_f1817389232t_bool(X1,sk1_esk15_1(X1))))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4210]) ).

cnf(c_0_4211_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,sk1_esk43_2(X1,X2))),hAPP_nat_bool(X2,sk1_esk43_2(X1,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4211_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,sk1_esk43_2(X1,X2))),hAPP_nat_bool(X2,sk1_esk43_2(X1,X2))))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4212_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,sk1_esk28_2(X1,X2))),hAPP_nat_bool(X2,sk1_esk28_2(X1,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4212_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,sk1_esk28_2(X1,X2))),hAPP_nat_bool(X2,sk1_esk28_2(X1,X2))))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4214_0,axiom,
    ( finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_4,axiom,
    ( ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_5,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_6,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite1524925796t_bool(X1) = finite945540987t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4215_0,axiom,
    ( finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_4,axiom,
    ( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_5,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_6,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | finite354462354e_indi(X1) = finite945540987t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4216_0,axiom,
    ( finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_3,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_4,axiom,
    ( ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_5,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_6,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X4),X1))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1))))
    | ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | finite1044330389le_alt(X1) = finite_card_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4217_0,axiom,
    ( finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_4,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_5,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2)
    | ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_6,axiom,
    ( ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X1,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
    | finite945540987t_bool(X1) = finite1524925796t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4218_0,axiom,
    ( finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_4,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_5,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2)
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_6,axiom,
    ( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2))))
    | ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X1))
    | ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
    | finite945540987t_bool(X1) = finite354462354e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4219_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4219_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4219_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4219_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4220_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_1,axiom,
    ( X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X1),X2),X3)),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4221_0,axiom,
    ( hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))) = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))))) ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4221_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1)))))
    | hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4222_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4222_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4223_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4223_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4224_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4224_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4225_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4225_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4226_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4226_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4227_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4227]) ).

cnf(c_0_4227_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4227]) ).

cnf(c_0_4228_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4228]) ).

cnf(c_0_4228_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4228]) ).

cnf(c_0_4229_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4229]) ).

cnf(c_0_4229_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4229]) ).

cnf(c_0_4230_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4230]) ).

cnf(c_0_4230_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4230]) ).

cnf(c_0_4231_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4231]) ).

cnf(c_0_4231_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4231]) ).

cnf(c_0_4232_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_9,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_10,axiom,
    ( X3 != X1
    | X4 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4233_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_4,axiom,
    ( X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_9,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_10,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4234_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_5,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4235_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X3
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_3,axiom,
    ( X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_9,axiom,
    ( X4 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X1
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X2),X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4236_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4236_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4236_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4237_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4237_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4237_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X4,X1)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),pi_Arr1801471756t_bool(X4,X1)))
    | is_Arr859726945e_indi(sk1_esk65_4(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4238_0,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X2
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X2
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_2,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X2
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 != X2
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_4,axiom,
    ( X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_5,axiom,
    ( X2 != X1
    | X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4239_0,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_2,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 != X2
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_4,axiom,
    ( X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_5,axiom,
    ( X3 != X1
    | X3 != X2
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4240_0,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_2,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_4,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4241_0,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_2,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_3,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_4,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4242_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4242]) ).

cnf(c_0_4242_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4242]) ).

cnf(c_0_4243_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4243]) ).

cnf(c_0_4243_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4243]) ).

cnf(c_0_4244_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4244]) ).

cnf(c_0_4244_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2)))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4244]) ).

cnf(c_0_4245_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4245]) ).

cnf(c_0_4245_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2)))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4245]) ).

cnf(c_0_4246_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4246]) ).

cnf(c_0_4246_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2)))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4246]) ).

cnf(c_0_4247_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4247]) ).

cnf(c_0_4247_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4247]) ).

cnf(c_0_4248_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4248]) ).

cnf(c_0_4248_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2)))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4248]) ).

cnf(c_0_4249_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4249]) ).

cnf(c_0_4249_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2)))
    | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4249]) ).

cnf(c_0_4250_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4250_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4250_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4250_3,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4250_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4251_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4251]) ).

cnf(c_0_4251_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4251]) ).

cnf(c_0_4251_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4251]) ).

cnf(c_0_4252_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4252_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4252_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4252_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4252_4,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4253_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4253_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4253_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4254_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4254]) ).

cnf(c_0_4254_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4254]) ).

cnf(c_0_4254_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4254]) ).

cnf(c_0_4255_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4255]) ).

cnf(c_0_4255_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4255]) ).

cnf(c_0_4255_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4255]) ).

cnf(c_0_4256_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4256]) ).

cnf(c_0_4256_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4256]) ).

cnf(c_0_4256_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4256]) ).

cnf(c_0_4257_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4257]) ).

cnf(c_0_4257_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4257]) ).

cnf(c_0_4257_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4257]) ).

cnf(c_0_4258_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4258]) ).

cnf(c_0_4258_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4258]) ).

cnf(c_0_4258_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4258]) ).

cnf(c_0_4259_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk46_3(X2,X3,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4259]) ).

cnf(c_0_4259_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk46_3(X2,X3,X1)),X1))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4259]) ).

cnf(c_0_4260_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk45_3(X2,X3,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4260]) ).

cnf(c_0_4260_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk45_3(X2,X3,X1)),X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4260]) ).

cnf(c_0_4261_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk44_3(X2,X3,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4261]) ).

cnf(c_0_4261_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk44_3(X2,X3,X1)),X1))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4261]) ).

cnf(c_0_4262_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_9,axiom,
    ( X3 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_10,axiom,
    ( X4 != X2
    | X3 != X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4263_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_4,axiom,
    ( X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_5,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_6,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_7,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_8,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_9,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_10,axiom,
    ( X4 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4264_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X4 = X3
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_2,axiom,
    ( X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_3,axiom,
    ( X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_4,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_5,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_6,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_7,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_8,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_9,axiom,
    ( X3 != X2
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X4 = X3
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),arrow_207701375_below(X5,X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4265_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk62_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4265]) ).

cnf(c_0_4265_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk62_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4265]) ).

cnf(c_0_4266_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk61_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4266]) ).

cnf(c_0_4266_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk61_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4266]) ).

cnf(c_0_4267_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk60_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4267]) ).

cnf(c_0_4267_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk60_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4267]) ).

cnf(c_0_4268_0,axiom,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk88_3(X3,X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4268_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk88_3(X3,X1,X2)),X2))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4268_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk88_3(X3,X1,X2)),X2))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4268_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk88_3(X3,X1,X2)),X2))
    | hBOOL(hAPP_nat_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4269_0,axiom,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,sk1_esk88_3(X3,X1,X2))))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4269_1,axiom,
    ( hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,sk1_esk88_3(X3,X1,X2))))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4269_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,sk1_esk88_3(X3,X1,X2))))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4269_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(suc,sk1_esk88_3(X3,X1,X2))))
    | hBOOL(hAPP_nat_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4270_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4270_1,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4270_2,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4270_3,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4270_4,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n)) ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4271_0,axiom,
    ( hBOOL(in_rel1361124802le_alt(X1,X2,X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4271]) ).

cnf(c_0_4271_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1))
    | hBOOL(in_rel1361124802le_alt(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4271]) ).

cnf(c_0_4272_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4272]) ).

cnf(c_0_4272_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4272]) ).

cnf(c_0_4273_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4273]) ).

cnf(c_0_4273_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4273]) ).

cnf(c_0_4274_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4274]) ).

cnf(c_0_4274_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4274]) ).

cnf(c_0_4275_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4275]) ).

cnf(c_0_4275_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4275]) ).

cnf(c_0_4276_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4276]) ).

cnf(c_0_4276_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4276]) ).

cnf(c_0_4277_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4277]) ).

cnf(c_0_4277_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4277]) ).

cnf(c_0_4277_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4277]) ).

cnf(c_0_4278_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4278]) ).

cnf(c_0_4278_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4278]) ).

cnf(c_0_4278_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4278]) ).

cnf(c_0_4279_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4279]) ).

cnf(c_0_4279_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4279]) ).

cnf(c_0_4279_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4279]) ).

cnf(c_0_4280_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | X2 = X3
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4280_1,axiom,
    ( X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4280_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4280_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4280_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | X2 = X3
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X1,X2,X3)),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4281_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk69_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4281]) ).

cnf(c_0_4281_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk69_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4281]) ).

cnf(c_0_4282_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk68_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4282]) ).

cnf(c_0_4282_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk68_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4282]) ).

cnf(c_0_4283_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk67_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4283]) ).

cnf(c_0_4283_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk67_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4283]) ).

cnf(c_0_4284_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk36_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4284]) ).

cnf(c_0_4284_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk36_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4284]) ).

cnf(c_0_4285_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk35_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4285]) ).

cnf(c_0_4285_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk35_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4285]) ).

cnf(c_0_4286_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk34_3(X1,X3,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4286]) ).

cnf(c_0_4286_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk34_3(X1,X3,X2)),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4286]) ).

cnf(c_0_4287_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4287]) ).

cnf(c_0_4287_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4287]) ).

cnf(c_0_4288_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4288_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4289_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4289_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4290_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4290_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4291_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4291_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4292_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4292_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4293_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4293_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4294_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4294_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4295_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4295_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4296_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4296]) ).

cnf(c_0_4296_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4296]) ).

cnf(c_0_4297_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4297]) ).

cnf(c_0_4297_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4297]) ).

cnf(c_0_4298_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4298]) ).

cnf(c_0_4298_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4298]) ).

cnf(c_0_4300_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk16_1(X1)),sk1_esk17_1(X1))),hAPP_A340536322t_bool(sk1_esk15_1(X1),X2)))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4300_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk16_1(X1)),sk1_esk17_1(X1))),hAPP_A340536322t_bool(sk1_esk15_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4300_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk16_1(X1)),sk1_esk17_1(X1))),hAPP_A340536322t_bool(sk1_esk15_1(X1),X2)))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4301_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4301_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4301_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4302_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4302_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4302_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk75_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4303_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4303_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4303_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4304_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4304]) ).

cnf(c_0_4304_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4304]) ).

cnf(c_0_4304_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk74_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4304]) ).

cnf(c_0_4305_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4305]) ).

cnf(c_0_4305_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4305]) ).

cnf(c_0_4306_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4306]) ).

cnf(c_0_4306_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4306]) ).

cnf(c_0_4307_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4307]) ).

cnf(c_0_4307_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4307]) ).

cnf(c_0_4308_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4308]) ).

cnf(c_0_4308_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4308]) ).

cnf(c_0_4309_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4309]) ).

cnf(c_0_4309_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4309]) ).

cnf(c_0_4310_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4310]) ).

cnf(c_0_4310_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4310]) ).

cnf(c_0_4311_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4311]) ).

cnf(c_0_4311_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4311]) ).

cnf(c_0_4312_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4312]) ).

cnf(c_0_4312_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4312]) ).

cnf(c_0_4313_0,axiom,
    ( hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,sk1_esk88_3(X3,X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4313_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,sk1_esk88_3(X3,X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4313_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(X3,X1))
    | ~ hBOOL(hAPP_nat_bool(X3,sk1_esk88_3(X3,X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4313_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,sk1_esk88_3(X3,X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4316_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4316_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) = n
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4316_2,axiom,
    ( hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
    | hAPP_A1895296483di_nat(h,X1) != n ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4316_3,axiom,
    ( hAPP_A1895296483di_nat(h,X1) != n
    | hAPP_A1895296483di_nat(h,X1) = n
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4317_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk22_2(X2,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4317]) ).

cnf(c_0_4317_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk22_2(X2,X1)),arrow_583275979e_Prof))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4317]) ).

cnf(c_0_4317_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk22_2(X2,X1)),arrow_583275979e_Prof))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4317]) ).

cnf(c_0_4318_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4318_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4318_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4318_3,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2))))
    | ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X1)),finite945540987t_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4319_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4319_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4319_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4319_3,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite945540987t_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4320_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2)))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4320_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4320_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4320_3,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2))))
    | ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3),X1))
    | ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X1)),finite_card_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4321_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4321_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4321_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4321_3,axiom,
    ( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X1,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X2))))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X1)),finite_card_nat(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4322_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4322_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4322_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2)))
    | ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4322_3,axiom,
    ( ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3),pi_nat_nat(X1,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X2))))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X1)),finite_card_nat(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4323_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),hAPP_f1895971544l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4323_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),hAPP_f1895971544l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4323_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X4,X3)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X2)),hAPP_f1895971544l_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4324_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),hAPP_A659996934l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4324]) ).

cnf(c_0_4324_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),hAPP_A659996934l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4324]) ).

cnf(c_0_4324_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,X3)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),hAPP_A659996934l_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4324]) ).

cnf(c_0_4325_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),hAPP_P1122857141l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4325]) ).

cnf(c_0_4325_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),hAPP_P1122857141l_bool(X3,X2)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4325]) ).

cnf(c_0_4325_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X4,X3)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X4))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X2)),hAPP_P1122857141l_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4325]) ).

cnf(c_0_4326_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3,X1)),hAPP_A659996934l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4326_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3,X1)),hAPP_A659996934l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4326_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),pi_Arr1801471756t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3,X1)),hAPP_A659996934l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4327_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3,X1)),hAPP_f1895971544l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4327_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3,X1)),hAPP_f1895971544l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4327_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),pi_fun1555365306t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3,X1)),hAPP_f1895971544l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4328_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X3,X1)),hAPP_n454528608t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X3),pi_nat_Product_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4328_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X3,X1)),hAPP_n454528608t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X3),pi_nat_Product_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4328_2,axiom,
    ( ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X3),pi_nat_Product_unit(X2,X4)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X3,X1)),hAPP_n454528608t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4329_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X3,X1)),hAPP_n1006566506l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X3),pi_nat_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4329_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X3,X1)),hAPP_n1006566506l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X3),pi_nat_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4329_2,axiom,
    ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X3),pi_nat_bool(X2,X4)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X3,X1)),hAPP_n1006566506l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4330_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X3,X1)),hAPP_n1600508401i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X3),pi_nat1476290531e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4330_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X3,X1)),hAPP_n1600508401i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X3),pi_nat1476290531e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4330_2,axiom,
    ( ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X3),pi_nat1476290531e_indi(X2,X4)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X3,X1)),hAPP_n1600508401i_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4331_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X3,X1)),hAPP_f649586561t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X3),pi_fun1012573681t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4331_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X3,X1)),hAPP_f649586561t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X3),pi_fun1012573681t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4331_2,axiom,
    ( ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X3),pi_fun1012573681t_unit(X2,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X3,X1)),hAPP_f649586561t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4332_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X3,X1)),hAPP_f812095627l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X3),pi_fun568395771l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4332_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X3,X1)),hAPP_f812095627l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X3),pi_fun568395771l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4332_2,axiom,
    ( ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X3),pi_fun568395771l_bool(X2,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X3,X1)),hAPP_f812095627l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4333_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X3,X1)),hAPP_f431432850i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4333_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X3,X1)),hAPP_f431432850i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4333_2,axiom,
    ( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3),pi_fun596906370e_indi(X2,X4)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X3,X1)),hAPP_f431432850i_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4334_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X3,X1)),hAPP_f1841347694t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X3),pi_fun1390764464t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4334_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X3,X1)),hAPP_f1841347694t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X3),pi_fun1390764464t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4334_2,axiom,
    ( ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X3),pi_fun1390764464t_unit(X2,X4)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X3,X1)),hAPP_f1841347694t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4335_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X3,X1)),hAPP_f721327224l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X3),pi_fun187048122l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4335_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X3,X1)),hAPP_f721327224l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X3),pi_fun187048122l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4335_2,axiom,
    ( ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X3),pi_fun187048122l_bool(X2,X4)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X3,X1)),hAPP_f721327224l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4336_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X3,X1)),hAPP_f783549695i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X3),pi_fun1353458625e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4336_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X3,X1)),hAPP_f783549695i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X3),pi_fun1353458625e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4336_2,axiom,
    ( ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X3),pi_fun1353458625e_indi(X2,X4)))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X3,X1)),hAPP_f783549695i_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4337_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X3,X1)),hAPP_f1009478556t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X3),pi_fun623621634t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4337_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X3,X1)),hAPP_f1009478556t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X3),pi_fun623621634t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4337_2,axiom,
    ( ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X3),pi_fun623621634t_unit(X2,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X3,X1)),hAPP_f1009478556t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4338_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X3,X1)),hAPP_f591334822l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X3),pi_fun1236347660l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4338_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X3,X1)),hAPP_f591334822l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X3),pi_fun1236347660l_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4338_2,axiom,
    ( ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X3),pi_fun1236347660l_bool(X2,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X3,X1)),hAPP_f591334822l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4339_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X3,X1)),hAPP_f1570138413i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X3),pi_fun268174099e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4339_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X3,X1)),hAPP_f1570138413i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X3),pi_fun268174099e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4339_2,axiom,
    ( ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X3),pi_fun268174099e_indi(X2,X4)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X3,X1)),hAPP_f1570138413i_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4340_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X3,X1)),hAPP_P822772139t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X3),pi_Pro269694131t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4340]) ).

cnf(c_0_4340_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X3,X1)),hAPP_P822772139t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X3),pi_Pro269694131t_unit(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4340]) ).

cnf(c_0_4340_2,axiom,
    ( ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X3),pi_Pro269694131t_unit(X2,X4)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X3,X1)),hAPP_P822772139t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4340]) ).

cnf(c_0_4341_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X3,X1)),hAPP_P957402556i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X3),pi_Pro58544964e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4341]) ).

cnf(c_0_4341_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X3,X1)),hAPP_P957402556i_bool(X4,X1)))
    | ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X3),pi_Pro58544964e_indi(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4341]) ).

cnf(c_0_4341_2,axiom,
    ( ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X3),pi_Pro58544964e_indi(X2,X4)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X3,X1)),hAPP_P957402556i_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4341]) ).

cnf(c_0_4342_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X3,X1)),hAPP_P32877782t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X3),pi_Product_unit_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4342]) ).

cnf(c_0_4342_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X3,X1)),hAPP_P32877782t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X3),pi_Product_unit_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4342]) ).

cnf(c_0_4342_2,axiom,
    ( ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X3),pi_Product_unit_nat(X2,X4)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X3,X1)),hAPP_P32877782t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4342]) ).

cnf(c_0_4343_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X3,X1)),hAPP_b1013836512t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X3),pi_bool_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4343]) ).

cnf(c_0_4343_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X3,X1)),hAPP_b1013836512t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X3),pi_bool_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4343]) ).

cnf(c_0_4343_2,axiom,
    ( ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X3),pi_bool_nat(X2,X4)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X3,X1)),hAPP_b1013836512t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4343]) ).

cnf(c_0_4344_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X3,X1)),hAPP_A1948275303t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4344]) ).

cnf(c_0_4344_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X3,X1)),hAPP_A1948275303t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4344]) ).

cnf(c_0_4344_2,axiom,
    ( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3),pi_Arr604548589di_nat(X2,X4)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X3,X1)),hAPP_A1948275303t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4344]) ).

cnf(c_0_4345_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X3,X1)),hAPP_P288224245l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X3),pi_Pro1925515229t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4345_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X3,X1)),hAPP_P288224245l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X3),pi_Pro1925515229t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4345_2,axiom,
    ( ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X3),pi_Pro1925515229t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X3,X1)),hAPP_P288224245l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4346_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X3,X1)),hAPP_b805997823l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X3),pi_boo1746012499t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4346]) ).

cnf(c_0_4346_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X3,X1)),hAPP_b805997823l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X3),pi_boo1746012499t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4346]) ).

cnf(c_0_4346_2,axiom,
    ( ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X3),pi_boo1746012499t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X3,X1)),hAPP_b805997823l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4346]) ).

cnf(c_0_4347_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X3,X1)),hAPP_P1305865168l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X3),pi_Pro831923248t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4347_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X3,X1)),hAPP_P1305865168l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X3),pi_Pro831923248t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4347_2,axiom,
    ( ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X3),pi_Pro831923248t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X3,X1)),hAPP_P1305865168l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4348_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X3,X1)),hAPP_b651754310l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X3),pi_boo68262458t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4348_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X3,X1)),hAPP_b651754310l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X3),pi_boo68262458t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4348_2,axiom,
    ( ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X3),pi_boo68262458t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X3,X1)),hAPP_b651754310l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4349_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X3,X1)),hAPP_A955165183l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X3),pi_Arr742795713t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4349]) ).

cnf(c_0_4349_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X3,X1)),hAPP_A955165183l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X3),pi_Arr742795713t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4349]) ).

cnf(c_0_4349_2,axiom,
    ( ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X3),pi_Arr742795713t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X3,X1)),hAPP_A955165183l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4349]) ).

cnf(c_0_4350_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X3,X1)),hAPP_P667392034l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X3),pi_Pro1114473858t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4350]) ).

cnf(c_0_4350_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X3,X1)),hAPP_P667392034l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X3),pi_Pro1114473858t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4350]) ).

cnf(c_0_4350_2,axiom,
    ( ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X3),pi_Pro1114473858t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X3,X1)),hAPP_P667392034l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4350]) ).

cnf(c_0_4351_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X3,X1)),hAPP_b1461182872l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X3),pi_boo679625100t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4351]) ).

cnf(c_0_4351_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X3,X1)),hAPP_b1461182872l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X3),pi_boo679625100t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4351]) ).

cnf(c_0_4351_2,axiom,
    ( ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X3),pi_boo679625100t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X3,X1)),hAPP_b1461182872l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4351]) ).

cnf(c_0_4352_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X3,X1)),hAPP_A701636433l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X3),pi_Arr656802323t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4352]) ).

cnf(c_0_4352_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X3,X1)),hAPP_A701636433l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X3),pi_Arr656802323t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4352]) ).

cnf(c_0_4352_2,axiom,
    ( ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X3),pi_Arr656802323t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X3,X1)),hAPP_A701636433l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4352]) ).

cnf(c_0_4353_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X3,X1)),hAPP_P401722323t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X3),pi_Pro1208494515le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4353]) ).

cnf(c_0_4353_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X3,X1)),hAPP_P401722323t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X3),pi_Pro1208494515le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4353]) ).

cnf(c_0_4353_2,axiom,
    ( ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X3),pi_Pro1208494515le_alt(X2,X4)))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X3,X1)),hAPP_P401722323t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4353]) ).

cnf(c_0_4354_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X3,X1)),hAPP_b763490121t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4354]) ).

cnf(c_0_4354_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X3,X1)),hAPP_b763490121t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4354]) ).

cnf(c_0_4354_2,axiom,
    ( ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3),pi_boo1542163389le_alt(X2,X4)))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X3,X1)),hAPP_b763490121t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4354]) ).

cnf(c_0_4355_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X3,X1)),hAPP_A340536322t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X3),pi_Arr1064242500le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4355]) ).

cnf(c_0_4355_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X3,X1)),hAPP_A340536322t_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X3),pi_Arr1064242500le_alt(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4355]) ).

cnf(c_0_4355_2,axiom,
    ( ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X3),pi_Arr1064242500le_alt(X2,X4)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X3,X1)),hAPP_A340536322t_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4355]) ).

cnf(c_0_4356_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3,X1)),hAPP_P1122857141l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4356]) ).

cnf(c_0_4356_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3,X1)),hAPP_P1122857141l_bool(X4,X1)))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_4356]) ).

cnf(c_0_4356_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),pi_Pro1873779901t_bool(X2,X4)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3,X1)),hAPP_P1122857141l_bool(X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4356]) ).

cnf(c_0_4357_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
    | ~ hBOOL(in_rel1361124802le_alt(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4357_1,axiom,
    ( ~ hBOOL(in_rel1361124802le_alt(X3,X1,X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4358_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_1,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_2,axiom,
    ( X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_6,axiom,
    ( X2 != X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X2 = X1
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4359_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_1,axiom,
    ( X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_2,axiom,
    ( X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_6,axiom,
    ( X2 != X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X3 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4360_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_2,axiom,
    ( X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_6,axiom,
    ( X3 != X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4361_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X2 = X1
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_2,axiom,
    ( X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_3,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_4,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | ~ is_Arr723427730le_alt(X3)
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_5,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1)))
    | X3 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_6,axiom,
    ( X3 != X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X2
    | X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4364_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4364_1,axiom,
    ( hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4364_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4365_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4365]) ).

cnf(c_0_4365_1,axiom,
    ( hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4365]) ).

cnf(c_0_4365_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hAPP_A1895296483di_nat(X1,sk1_esk75_3(X1,X2,X3)) != hAPP_A1895296483di_nat(X2,sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4365]) ).

cnf(c_0_4366_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4366_1,axiom,
    ( hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4366_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4367_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4367_1,axiom,
    ( hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4367_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
    | hAPP_nat_nat(X1,sk1_esk74_3(X1,X2,X3)) != hAPP_nat_nat(X2,sk1_esk74_3(X1,X2,X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4368_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4368]) ).

cnf(c_0_4368_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4368]) ).

cnf(c_0_4368_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4368]) ).

cnf(c_0_4369_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4369]) ).

cnf(c_0_4369_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X1),X2)),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4369]) ).

cnf(c_0_4370_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X1),X2)),arrow_912654623le_Lin))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4370]) ).

cnf(c_0_4370_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X1),X2)),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4370]) ).

cnf(c_0_4371_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4371_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4371_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4371_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4372_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,sk1_esk82_2(X2,X1)),one_one_nat)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4372]) ).

cnf(c_0_4372_1,axiom,
    ( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,sk1_esk82_2(X2,X1)),one_one_nat)))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4372]) ).

cnf(c_0_4372_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,sk1_esk82_2(X2,X1)),one_one_nat)))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4372]) ).

cnf(c_0_4373_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | sk1_esk24_2(X2,X1) != sk1_esk23_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4373]) ).

cnf(c_0_4373_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | sk1_esk24_2(X2,X1) != sk1_esk23_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4373]) ).

cnf(c_0_4373_2,axiom,
    ( sk1_esk24_2(X2,X1) != sk1_esk23_2(X2,X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4373]) ).

cnf(c_0_4374_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),sk1_esk25_2(X2,X1)))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4374_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),sk1_esk25_2(X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4374_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),sk1_esk25_2(X2,X1)))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4374_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),sk1_esk25_2(X2,X1)))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4375_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(sk1_esk23_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4375_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk23_2(X2,X1))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4375_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | is_Arr723427730le_alt(sk1_esk23_2(X2,X1))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4376_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | is_Arr723427730le_alt(sk1_esk24_2(X2,X1))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4376_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk24_2(X2,X1))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4376_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
    | is_Arr723427730le_alt(sk1_esk24_2(X2,X1))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4377_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk7_1(X1)),sk1_esk8_1(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4377]) ).

cnf(c_0_4377_1,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,sk1_esk7_1(X1)),sk1_esk8_1(X1))))
    | hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4377]) ).

cnf(c_0_4378_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4378_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4378_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4378_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4379_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4379_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4379_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4379_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4380_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4380]) ).

cnf(c_0_4380_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4380]) ).

cnf(c_0_4381_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4381]) ).

cnf(c_0_4381_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4381]) ).

cnf(c_0_4382_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4382]) ).

cnf(c_0_4382_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4382]) ).

cnf(c_0_4385_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4385]) ).

cnf(c_0_4385_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4385]) ).

cnf(c_0_4385_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4385]) ).

cnf(c_0_4386_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk93_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4386]) ).

cnf(c_0_4386_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk93_2(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4386]) ).

cnf(c_0_4387_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4387]) ).

cnf(c_0_4387_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4387]) ).

cnf(c_0_4388_0,axiom,
    ( X1 = zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk87_2(X1,X2)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4388]) ).

cnf(c_0_4388_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk87_2(X1,X2)),X2))
    | X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4388]) ).

cnf(c_0_4388_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk87_2(X1,X2)),X2))
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4388]) ).

cnf(c_0_4389_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_3,axiom,
    ( hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_5,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_6,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X4),X3))
    | hAPP_A1895296483di_nat(X4,X1) != hAPP_A1895296483di_nat(X4,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4390_0,axiom,
    ( X1 = X2
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_1,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | X1 = X2
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_5,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_6,axiom,
    ( hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4391_0,axiom,
    ( X2 = X3
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_1,axiom,
    ( hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3
    | ~ is_Arr859726945e_indi(X3)
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_5,axiom,
    ( ~ is_Arr859726945e_indi(X3)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_6,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X3)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
    | hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4392_0,axiom,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_1,axiom,
    ( hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_3,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_5,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_6,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4393_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4394_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk54_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4394]) ).

cnf(c_0_4394_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk54_2(X2,X1)),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4394]) ).

cnf(c_0_4395_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk53_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4395]) ).

cnf(c_0_4395_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk53_2(X2,X1)),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4395]) ).

cnf(c_0_4396_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,sk1_esk52_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4396]) ).

cnf(c_0_4396_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,sk1_esk52_2(X2,X1)),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4396]) ).

cnf(c_0_4397_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk51_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4397]) ).

cnf(c_0_4397_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk51_2(X2,X1)),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4397]) ).

cnf(c_0_4398_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk50_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4398]) ).

cnf(c_0_4398_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk50_2(X2,X1)),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4398]) ).

cnf(c_0_4399_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk49_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4399]) ).

cnf(c_0_4399_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk49_2(X2,X1)),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4399]) ).

cnf(c_0_4400_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,sk1_esk48_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4400]) ).

cnf(c_0_4400_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,sk1_esk48_2(X2,X1)),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4400]) ).

cnf(c_0_4401_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,sk1_esk47_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4401]) ).

cnf(c_0_4401_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,sk1_esk47_2(X2,X1)),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4401]) ).

cnf(c_0_4402_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk97_2(X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4402]) ).

cnf(c_0_4402_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk97_2(X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4402]) ).

cnf(c_0_4402_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk97_2(X2,X1))))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4402]) ).

cnf(c_0_4403_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4403_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4403_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | X1 = X2
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4403_3,axiom,
    ( hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4403_4,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X4),X3))
    | hAPP_nat_nat(X4,X1) != hAPP_nat_nat(X4,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4404_0,axiom,
    ( X3 = X4
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4404_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | X3 = X4
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4404_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | X3 = X4
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4404_3,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | X3 = X4
    | hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4404_4,axiom,
    ( hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | X3 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4405_0,axiom,
    ( X2 = X3
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_1,axiom,
    ( hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_3,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_4,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4406_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_1,axiom,
    ( hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_3,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_4,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X4))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4407_0,axiom,
    ( hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_1,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_5,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_6,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4408_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4408]) ).

cnf(c_0_4408_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X1))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X1,X2)),pi_fun1555365306t_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4408]) ).

cnf(c_0_4409_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4409_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4410_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X3,X2)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4410]) ).

cnf(c_0_4410_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X1))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X1,X2)),pi_Pro1873779901t_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4410]) ).

cnf(c_0_4411_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4411]) ).

cnf(c_0_4411_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4411]) ).

cnf(c_0_4412_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4412]) ).

cnf(c_0_4412_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4412]) ).

cnf(c_0_4413_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4413]) ).

cnf(c_0_4413_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4413]) ).

cnf(c_0_4414_0,axiom,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4414_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4414_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4414_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4415_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3)))
    | is_Arr859726945e_indi(sk1_esk45_3(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4415]) ).

cnf(c_0_4415_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk45_3(X2,X3,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X1,X2)),pi_Arr1801471756t_bool(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4415]) ).

cnf(c_0_4416_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4416]) ).

cnf(c_0_4416_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4416]) ).

cnf(c_0_4417_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4417]) ).

cnf(c_0_4417_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4417]) ).

cnf(c_0_4418_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4418]) ).

cnf(c_0_4418_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4418]) ).

cnf(c_0_4419_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4419]) ).

cnf(c_0_4419_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4419]) ).

cnf(c_0_4420_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4420]) ).

cnf(c_0_4420_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4420]) ).

cnf(c_0_4421_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4421]) ).

cnf(c_0_4421_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4421]) ).

cnf(c_0_4422_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4422]) ).

cnf(c_0_4422_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4422]) ).

cnf(c_0_4423_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4423]) ).

cnf(c_0_4423_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4423]) ).

cnf(c_0_4424_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4424]) ).

cnf(c_0_4424_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4424]) ).

cnf(c_0_4425_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4425]) ).

cnf(c_0_4425_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4425]) ).

cnf(c_0_4426_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4426]) ).

cnf(c_0_4426_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4426]) ).

cnf(c_0_4427_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4427]) ).

cnf(c_0_4427_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4427]) ).

cnf(c_0_4428_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4428]) ).

cnf(c_0_4428_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4428]) ).

cnf(c_0_4429_0,axiom,
    ( hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4429_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4429_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4429_3,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4)
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4429_4,axiom,
    ( X3 != X4
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4430_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4430]) ).

cnf(c_0_4430_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4430]) ).

cnf(c_0_4431_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4431]) ).

cnf(c_0_4431_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4431]) ).

cnf(c_0_4432_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4432]) ).

cnf(c_0_4432_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4432]) ).

cnf(c_0_4433_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
    | is_Arr859726945e_indi(sk1_esk61_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4433]) ).

cnf(c_0_4433_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk61_3(X1,X3,X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_4433]) ).

cnf(c_0_4434_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),sk1_esk83_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4434_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),sk1_esk83_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4434_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),sk1_esk83_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4434_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),sk1_esk83_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4435_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),sk1_esk82_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4435_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),sk1_esk82_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4435_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),sk1_esk82_2(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4435_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),sk1_esk82_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X3))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4436_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4436]) ).

cnf(c_0_4436_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4436]) ).

cnf(c_0_4437_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4437]) ).

cnf(c_0_4437_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4437]) ).

cnf(c_0_4442_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4442]) ).

cnf(c_0_4442_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4442]) ).

cnf(c_0_4442_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4442]) ).

cnf(c_0_4443_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4443]) ).

cnf(c_0_4443_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4443]) ).

cnf(c_0_4443_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4443]) ).

cnf(c_0_4444_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4444]) ).

cnf(c_0_4444_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4444]) ).

cnf(c_0_4444_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4444]) ).

cnf(c_0_4445_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4445]) ).

cnf(c_0_4445_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4445]) ).

cnf(c_0_4445_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4445]) ).

cnf(c_0_4446_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4446]) ).

cnf(c_0_4446_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4446]) ).

cnf(c_0_4446_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4446]) ).

cnf(c_0_4447_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4447]) ).

cnf(c_0_4447_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4447]) ).

cnf(c_0_4447_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4447]) ).

cnf(c_0_4448_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4448]) ).

cnf(c_0_4448_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4448]) ).

cnf(c_0_4448_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4448]) ).

cnf(c_0_4449_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4449]) ).

cnf(c_0_4449_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4449]) ).

cnf(c_0_4449_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4449]) ).

cnf(c_0_4450_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4450]) ).

cnf(c_0_4450_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4450]) ).

cnf(c_0_4450_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4450]) ).

cnf(c_0_4451_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4451]) ).

cnf(c_0_4451_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4451]) ).

cnf(c_0_4451_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4451]) ).

cnf(c_0_4452_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4452]) ).

cnf(c_0_4452_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4452]) ).

cnf(c_0_4452_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4452]) ).

cnf(c_0_4453_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4453]) ).

cnf(c_0_4453_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4453]) ).

cnf(c_0_4453_2,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4453]) ).

cnf(c_0_4454_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4454]) ).

cnf(c_0_4454_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4454]) ).

cnf(c_0_4454_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4454]) ).

cnf(c_0_4455_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4455]) ).

cnf(c_0_4455_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4455]) ).

cnf(c_0_4455_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4455]) ).

cnf(c_0_4456_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4456]) ).

cnf(c_0_4456_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4456]) ).

cnf(c_0_4456_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4456]) ).

cnf(c_0_4457_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4457]) ).

cnf(c_0_4457_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4457]) ).

cnf(c_0_4457_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4457]) ).

cnf(c_0_4458_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4458]) ).

cnf(c_0_4458_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4458]) ).

cnf(c_0_4458_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4458]) ).

cnf(c_0_4459_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4459]) ).

cnf(c_0_4459_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4459]) ).

cnf(c_0_4459_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4459]) ).

cnf(c_0_4460_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4460_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4460_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4461_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4461]) ).

cnf(c_0_4461_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4461]) ).

cnf(c_0_4461_2,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4461]) ).

cnf(c_0_4462_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4462]) ).

cnf(c_0_4462_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4462]) ).

cnf(c_0_4462_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4462]) ).

cnf(c_0_4463_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4463]) ).

cnf(c_0_4463_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4463]) ).

cnf(c_0_4463_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4463]) ).

cnf(c_0_4464_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4464]) ).

cnf(c_0_4464_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4464]) ).

cnf(c_0_4464_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4464]) ).

cnf(c_0_4465_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4465]) ).

cnf(c_0_4465_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4465]) ).

cnf(c_0_4465_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4465]) ).

cnf(c_0_4466_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4466]) ).

cnf(c_0_4466_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4466]) ).

cnf(c_0_4466_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4466]) ).

cnf(c_0_4467_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4467]) ).

cnf(c_0_4467_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4467]) ).

cnf(c_0_4467_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4467]) ).

cnf(c_0_4468_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4468]) ).

cnf(c_0_4468_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4468]) ).

cnf(c_0_4468_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4468]) ).

cnf(c_0_4469_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4469]) ).

cnf(c_0_4469_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4469]) ).

cnf(c_0_4469_2,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4469]) ).

cnf(c_0_4470_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4470_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4470_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4471_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4471]) ).

cnf(c_0_4471_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4471]) ).

cnf(c_0_4471_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4471]) ).

cnf(c_0_4472_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4472]) ).

cnf(c_0_4472_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4472]) ).

cnf(c_0_4472_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4472]) ).

cnf(c_0_4473_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4473_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4473_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4474_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4474_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4474_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4475_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4475_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4475_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4476_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4476_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4476_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4477_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4477_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4477_2,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4478_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4478_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4478_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4479_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4479_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4479_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4480_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4480]) ).

cnf(c_0_4480_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4480]) ).

cnf(c_0_4480_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4480]) ).

cnf(c_0_4481_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4481]) ).

cnf(c_0_4481_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4481]) ).

cnf(c_0_4481_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4481]) ).

cnf(c_0_4482_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4482]) ).

cnf(c_0_4482_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4482]) ).

cnf(c_0_4482_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4482]) ).

cnf(c_0_4483_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4483]) ).

cnf(c_0_4483_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4483]) ).

cnf(c_0_4483_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4483]) ).

cnf(c_0_4484_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4484]) ).

cnf(c_0_4484_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4484]) ).

cnf(c_0_4484_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4484]) ).

cnf(c_0_4485_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4485]) ).

cnf(c_0_4485_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4485]) ).

cnf(c_0_4485_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4485]) ).

cnf(c_0_4486_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4486]) ).

cnf(c_0_4486_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4486]) ).

cnf(c_0_4486_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3),X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4486]) ).

cnf(c_0_4487_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4487_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4487_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3),X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4488_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4488_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4488_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3),X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4489_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4489]) ).

cnf(c_0_4489_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4489]) ).

cnf(c_0_4489_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4489]) ).

cnf(c_0_4490_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4490_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4490_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4491_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4491]) ).

cnf(c_0_4491_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4491]) ).

cnf(c_0_4491_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4491]) ).

cnf(c_0_4492_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4492]) ).

cnf(c_0_4492_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4492]) ).

cnf(c_0_4492_2,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3),X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4492]) ).

cnf(c_0_4493_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4493]) ).

cnf(c_0_4493_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4493]) ).

cnf(c_0_4493_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4493]) ).

cnf(c_0_4494_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4494]) ).

cnf(c_0_4494_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4494]) ).

cnf(c_0_4494_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4494]) ).

cnf(c_0_4495_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4495]) ).

cnf(c_0_4495_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4495]) ).

cnf(c_0_4495_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4495]) ).

cnf(c_0_4496_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4496_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4496_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4497_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4497_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4497_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4498_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4498]) ).

cnf(c_0_4498_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4498]) ).

cnf(c_0_4498_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4498]) ).

cnf(c_0_4499_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4499]) ).

cnf(c_0_4499_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4499]) ).

cnf(c_0_4499_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4499]) ).

cnf(c_0_4500_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4500]) ).

cnf(c_0_4500_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4500]) ).

cnf(c_0_4500_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4500]) ).

cnf(c_0_4501_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4501]) ).

cnf(c_0_4501_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4501]) ).

cnf(c_0_4501_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4501]) ).

cnf(c_0_4502_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4502]) ).

cnf(c_0_4502_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4502]) ).

cnf(c_0_4502_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4502]) ).

cnf(c_0_4503_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4503]) ).

cnf(c_0_4503_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4503]) ).

cnf(c_0_4503_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4503]) ).

cnf(c_0_4504_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4504]) ).

cnf(c_0_4504_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4504]) ).

cnf(c_0_4504_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4504]) ).

cnf(c_0_4505_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4505]) ).

cnf(c_0_4505_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4505]) ).

cnf(c_0_4505_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4505]) ).

cnf(c_0_4506_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4506]) ).

cnf(c_0_4506_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4506]) ).

cnf(c_0_4506_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4506]) ).

cnf(c_0_4507_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4507]) ).

cnf(c_0_4507_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4507]) ).

cnf(c_0_4507_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4507]) ).

cnf(c_0_4508_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4508]) ).

cnf(c_0_4508_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4508]) ).

cnf(c_0_4508_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4508]) ).

cnf(c_0_4509_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4509]) ).

cnf(c_0_4509_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4509]) ).

cnf(c_0_4509_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4509]) ).

cnf(c_0_4510_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4510]) ).

cnf(c_0_4510_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4510]) ).

cnf(c_0_4510_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4510]) ).

cnf(c_0_4511_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4511]) ).

cnf(c_0_4511_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4511]) ).

cnf(c_0_4511_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4511]) ).

cnf(c_0_4512_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4512]) ).

cnf(c_0_4512_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4512]) ).

cnf(c_0_4512_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4512]) ).

cnf(c_0_4513_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4513]) ).

cnf(c_0_4513_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4513]) ).

cnf(c_0_4513_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4513]) ).

cnf(c_0_4514_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4514]) ).

cnf(c_0_4514_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4514]) ).

cnf(c_0_4514_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4514]) ).

cnf(c_0_4515_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4515]) ).

cnf(c_0_4515_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4515]) ).

cnf(c_0_4515_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4515]) ).

cnf(c_0_4516_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4516]) ).

cnf(c_0_4516_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4516]) ).

cnf(c_0_4516_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4516]) ).

cnf(c_0_4517_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4517]) ).

cnf(c_0_4517_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4517]) ).

cnf(c_0_4517_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4517]) ).

cnf(c_0_4518_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4518]) ).

cnf(c_0_4518_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4518]) ).

cnf(c_0_4518_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4518]) ).

cnf(c_0_4519_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4519]) ).

cnf(c_0_4519_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4519]) ).

cnf(c_0_4519_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4519]) ).

cnf(c_0_4520_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4520]) ).

cnf(c_0_4520_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4520]) ).

cnf(c_0_4520_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4520]) ).

cnf(c_0_4521_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4521]) ).

cnf(c_0_4521_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4521]) ).

cnf(c_0_4521_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4521]) ).

cnf(c_0_4522_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4522]) ).

cnf(c_0_4522_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4522]) ).

cnf(c_0_4522_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4522]) ).

cnf(c_0_4523_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4523]) ).

cnf(c_0_4523_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4523]) ).

cnf(c_0_4523_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4523]) ).

cnf(c_0_4524_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4524]) ).

cnf(c_0_4524_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4524]) ).

cnf(c_0_4524_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4524]) ).

cnf(c_0_4525_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4525]) ).

cnf(c_0_4525_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4525]) ).

cnf(c_0_4525_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4525]) ).

cnf(c_0_4526_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4526]) ).

cnf(c_0_4526_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4526]) ).

cnf(c_0_4526_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4526]) ).

cnf(c_0_4527_0,axiom,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4527]) ).

cnf(c_0_4527_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4527]) ).

cnf(c_0_4527_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4527]) ).

cnf(c_0_4528_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4),X2)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4528]) ).

cnf(c_0_4528_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4),X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4528]) ).

cnf(c_0_4528_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4),X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4528]) ).

cnf(c_0_4529_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4529]) ).

cnf(c_0_4529_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4529]) ).

cnf(c_0_4530_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk81_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4530]) ).

cnf(c_0_4530_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk81_2(X2,X1)),X2))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4530]) ).

cnf(c_0_4531_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk79_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4531]) ).

cnf(c_0_4531_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk79_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4531]) ).

cnf(c_0_4532_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk77_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4532]) ).

cnf(c_0_4532_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk77_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4532]) ).

cnf(c_0_4534_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk93_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4534]) ).

cnf(c_0_4534_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hAPP_nat_nat(suc,sk1_esk93_2(X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4534]) ).

cnf(c_0_4535_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk91_2(X2,X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4535]) ).

cnf(c_0_4535_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1))
    | hAPP_nat_nat(suc,sk1_esk91_2(X2,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4535]) ).

cnf(c_0_4538_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | hAPP_nat_nat(suc,X1) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4538]) ).

cnf(c_0_4538_1,axiom,
    ( hAPP_nat_nat(suc,X1) = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4538]) ).

cnf(c_0_4538_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(suc,X1) = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4538]) ).

cnf(c_0_4539_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4539_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4539_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4539_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4540_0,axiom,
    ( X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4540_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4540_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4540_3,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3))
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4543_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4543]) ).

cnf(c_0_4543_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4543]) ).

cnf(c_0_4544_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4544]) ).

cnf(c_0_4544_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4544]) ).

cnf(c_0_4545_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4545]) ).

cnf(c_0_4545_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4545]) ).

cnf(c_0_4546_0,axiom,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4546]) ).

cnf(c_0_4546_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = hAPP_nat_nat(suc,X2)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4546]) ).

cnf(c_0_4546_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4546]) ).

cnf(c_0_4547_0,axiom,
    ( X1 = hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4547]) ).

cnf(c_0_4547_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = hAPP_nat_nat(suc,X2)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4547]) ).

cnf(c_0_4547_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4547]) ).

cnf(c_0_4548_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1)),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
    inference(literals_permutation,[status(thm)],[c_0_4548]) ).

cnf(c_0_4548_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1)),arrow_583275979e_Prof)) ),
    inference(literals_permutation,[status(thm)],[c_0_4548]) ).

cnf(c_0_4549_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4549]) ).

cnf(c_0_4549_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4549]) ).

cnf(c_0_4549_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4549]) ).

cnf(c_0_4550_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4550]) ).

cnf(c_0_4550_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4550]) ).

cnf(c_0_4550_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4550]) ).

cnf(c_0_4551_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4551]) ).

cnf(c_0_4551_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4551]) ).

cnf(c_0_4551_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4551]) ).

cnf(c_0_4552_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4552]) ).

cnf(c_0_4552_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4552]) ).

cnf(c_0_4552_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4552]) ).

cnf(c_0_4553_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4553]) ).

cnf(c_0_4553_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4553]) ).

cnf(c_0_4553_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4553]) ).

cnf(c_0_4554_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4554]) ).

cnf(c_0_4554_1,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4554]) ).

cnf(c_0_4554_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4554]) ).

cnf(c_0_4555_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4555]) ).

cnf(c_0_4555_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4555]) ).

cnf(c_0_4555_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4555]) ).

cnf(c_0_4556_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4556]) ).

cnf(c_0_4556_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4556]) ).

cnf(c_0_4556_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4556]) ).

cnf(c_0_4557_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4557]) ).

cnf(c_0_4557_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4557]) ).

cnf(c_0_4557_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4557]) ).

cnf(c_0_4558_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4558]) ).

cnf(c_0_4558_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4558]) ).

cnf(c_0_4558_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4558]) ).

cnf(c_0_4559_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4559]) ).

cnf(c_0_4559_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4559]) ).

cnf(c_0_4559_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4559]) ).

cnf(c_0_4560_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4560]) ).

cnf(c_0_4560_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4560]) ).

cnf(c_0_4560_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4560]) ).

cnf(c_0_4561_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4561]) ).

cnf(c_0_4561_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4561]) ).

cnf(c_0_4563_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != hAPP_nat_nat(suc,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4563]) ).

cnf(c_0_4563_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != hAPP_nat_nat(suc,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4563]) ).

cnf(c_0_4563_2,axiom,
    ( X1 != hAPP_nat_nat(suc,X3)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4563]) ).

cnf(c_0_4564_0,axiom,
    ( hAPP_f1817389232t_bool(X1,X2) = hAPP_A340536322t_bool(X2,X3)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4564]) ).

cnf(c_0_4564_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | hAPP_f1817389232t_bool(X1,X2) = hAPP_A340536322t_bool(X2,X3)
    | ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4564]) ).

cnf(c_0_4564_2,axiom,
    ( ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X3))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
    | hAPP_f1817389232t_bool(X1,X2) = hAPP_A340536322t_bool(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4564]) ).

cnf(c_0_4565_0,axiom,
    ( X2 = hAPP_nat_nat(suc,X1)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk92_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4565]) ).

cnf(c_0_4565_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk92_2(X1,X2)))
    | X2 = hAPP_nat_nat(suc,X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4565]) ).

cnf(c_0_4565_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk92_2(X1,X2)))
    | X2 = hAPP_nat_nat(suc,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4565]) ).

cnf(c_0_4566_0,axiom,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4566_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4566_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4566_3,axiom,
    ( ~ is_Arr859726945e_indi(X3)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1))
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),hAPP_A1895296483di_nat(X2,X3)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4567_0,axiom,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4567_1,axiom,
    ( hAPP_A1895296483di_nat(X2,X4) != X3
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4567_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ is_Arr859726945e_indi(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4567_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4
    | ~ is_Arr859726945e_indi(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4567_4,axiom,
    ( ~ is_Arr859726945e_indi(X4)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X1))
    | hAPP_A1895296483di_nat(X2,X4) != X3
    | hAPP_n619554777e_indi(hilber951314860di_nat(X1,X2),X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4568_0,axiom,
    ( hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk89_2(X2,X1))) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4568]) ).

cnf(c_0_4568_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk89_2(X2,X1))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4568]) ).

cnf(c_0_4569_0,axiom,
    ( hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk85_2(X2,X1))) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4569]) ).

cnf(c_0_4569_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk85_2(X2,X1))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4569]) ).

cnf(c_0_4570_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk54_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4570]) ).

cnf(c_0_4570_1,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,sk1_esk54_2(X2,X1)),X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4570]) ).

cnf(c_0_4571_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk53_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4571]) ).

cnf(c_0_4571_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk53_2(X2,X1)),X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4571]) ).

cnf(c_0_4572_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,sk1_esk52_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4572]) ).

cnf(c_0_4572_1,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,sk1_esk52_2(X2,X1)),X1))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4572]) ).

cnf(c_0_4573_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk51_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4573]) ).

cnf(c_0_4573_1,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk51_2(X2,X1)),X1))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4573]) ).

cnf(c_0_4574_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk50_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4574]) ).

cnf(c_0_4574_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk50_2(X2,X1)),X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4574]) ).

cnf(c_0_4575_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk49_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4575]) ).

cnf(c_0_4575_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk49_2(X2,X1)),X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4575]) ).

cnf(c_0_4576_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,sk1_esk48_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4576]) ).

cnf(c_0_4576_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,sk1_esk48_2(X2,X1)),X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4576]) ).

cnf(c_0_4577_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,sk1_esk47_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4577]) ).

cnf(c_0_4577_1,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,sk1_esk47_2(X2,X1)),X1))
    | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4577]) ).

cnf(c_0_4578_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk83_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4578]) ).

cnf(c_0_4578_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk83_2(X2,X1)),X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4578]) ).

cnf(c_0_4578_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,sk1_esk83_2(X2,X1)),X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4578]) ).

cnf(c_0_4579_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk82_2(X2,X1)),X2))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4579]) ).

cnf(c_0_4579_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk82_2(X2,X1)),X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4579]) ).

cnf(c_0_4579_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk82_2(X2,X1)),X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4579]) ).

cnf(c_0_4580_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk6_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4580]) ).

cnf(c_0_4580_1,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk6_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4580]) ).

cnf(c_0_4580_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
    | ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk6_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4580]) ).

cnf(c_0_4580_3,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X1,sk1_esk6_1(X1)))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4580]) ).

cnf(c_0_4581_0,axiom,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4581]) ).

cnf(c_0_4581_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))
    | hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4581]) ).

cnf(c_0_4581_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))
    | hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4581]) ).

cnf(c_0_4582_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk33_2(X1,X2)),arrow_583275979e_Prof)) ),
    inference(literals_permutation,[status(thm)],[c_0_4582]) ).

cnf(c_0_4582_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk33_2(X1,X2)),arrow_583275979e_Prof))
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4582]) ).

cnf(c_0_4583_0,axiom,
    ( hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4
    | hAPP_nat_nat(X2,X4) != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4583]) ).

cnf(c_0_4583_1,axiom,
    ( hAPP_nat_nat(X2,X4) != X3
    | hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4583]) ).

cnf(c_0_4583_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | hAPP_nat_nat(X2,X4) != X3
    | hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4583]) ).

cnf(c_0_4583_3,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X1))
    | hAPP_nat_nat(X2,X4) != X3
    | hAPP_nat_nat(hilber195283148at_nat(X1,X2),X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_4583]) ).

cnf(c_0_4584_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk78_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4584]) ).

cnf(c_0_4584_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk78_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4584]) ).

cnf(c_0_4584_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),sk1_esk78_1(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4584]) ).

cnf(c_0_4585_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk76_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4585]) ).

cnf(c_0_4585_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk76_1(X2)))
    | ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4585]) ).

cnf(c_0_4585_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),sk1_esk76_1(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4585]) ).

cnf(c_0_4586_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4586]) ).

cnf(c_0_4586_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4586]) ).

cnf(c_0_4586_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4586]) ).

cnf(c_0_4586_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4586]) ).

cnf(c_0_4587_0,axiom,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4587]) ).

cnf(c_0_4587_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4587]) ).

cnf(c_0_4587_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4587]) ).

cnf(c_0_4587_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4587]) ).

cnf(c_0_4588_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4588]) ).

cnf(c_0_4588_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4588]) ).

cnf(c_0_4588_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4588]) ).

cnf(c_0_4588_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4588]) ).

cnf(c_0_4589_0,axiom,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4589]) ).

cnf(c_0_4589_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4589]) ).

cnf(c_0_4589_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4589]) ).

cnf(c_0_4589_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4589]) ).

cnf(c_0_4590_0,axiom,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4590]) ).

cnf(c_0_4590_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4590]) ).

cnf(c_0_4590_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4590]) ).

cnf(c_0_4590_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4590]) ).

cnf(c_0_4591_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4591]) ).

cnf(c_0_4591_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4591]) ).

cnf(c_0_4591_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4591]) ).

cnf(c_0_4591_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4591]) ).

cnf(c_0_4592_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4592]) ).

cnf(c_0_4592_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4592]) ).

cnf(c_0_4592_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4592]) ).

cnf(c_0_4592_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4592]) ).

cnf(c_0_4593_0,axiom,
    ( hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4593]) ).

cnf(c_0_4593_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4593]) ).

cnf(c_0_4593_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4593]) ).

cnf(c_0_4593_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4593]) ).

cnf(c_0_4594_0,axiom,
    ( hilber951314860di_nat(top_to207207712i_bool,X1) = X2
    | hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,sk1_esk38_2(X2,X1))) != sk1_esk38_2(X2,X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_fun1084921220e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4594]) ).

cnf(c_0_4594_1,axiom,
    ( hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,sk1_esk38_2(X2,X1))) != sk1_esk38_2(X2,X1)
    | hilber951314860di_nat(top_to207207712i_bool,X1) = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_fun1084921220e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4594]) ).

cnf(c_0_4594_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,sk1_esk38_2(X2,X1))) != sk1_esk38_2(X2,X1)
    | hilber951314860di_nat(top_to207207712i_bool,X1) = X2
    | ~ is_fun1084921220e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4594]) ).

cnf(c_0_4594_3,axiom,
    ( ~ is_fun1084921220e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,hAPP_n619554777e_indi(X2,sk1_esk38_2(X2,X1))) != sk1_esk38_2(X2,X1)
    | hilber951314860di_nat(top_to207207712i_bool,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4594]) ).

cnf(c_0_4595_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4595]) ).

cnf(c_0_4595_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4595]) ).

cnf(c_0_4595_2,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4595]) ).

cnf(c_0_4596_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4596]) ).

cnf(c_0_4596_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4596]) ).

cnf(c_0_4596_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4596]) ).

cnf(c_0_4597_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4597]) ).

cnf(c_0_4597_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4597]) ).

cnf(c_0_4597_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4597]) ).

cnf(c_0_4598_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4598]) ).

cnf(c_0_4598_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4598]) ).

cnf(c_0_4598_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4598]) ).

cnf(c_0_4599_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4599]) ).

cnf(c_0_4599_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4599]) ).

cnf(c_0_4599_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4599]) ).

cnf(c_0_4600_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4600]) ).

cnf(c_0_4600_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4600]) ).

cnf(c_0_4601_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4601]) ).

cnf(c_0_4601_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4601]) ).

cnf(c_0_4601_2,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4601]) ).

cnf(c_0_4602_0,axiom,
    ( hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2
    | hAPP_nat_nat(X1,hAPP_nat_nat(X2,sk1_esk37_2(X2,X1))) != sk1_esk37_2(X2,X1)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4602]) ).

cnf(c_0_4602_1,axiom,
    ( hAPP_nat_nat(X1,hAPP_nat_nat(X2,sk1_esk37_2(X2,X1))) != sk1_esk37_2(X2,X1)
    | hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4602]) ).

cnf(c_0_4602_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,hAPP_nat_nat(X2,sk1_esk37_2(X2,X1))) != sk1_esk37_2(X2,X1)
    | hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4602]) ).

cnf(c_0_4603_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4603]) ).

cnf(c_0_4603_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4603]) ).

cnf(c_0_4603_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4603]) ).

cnf(c_0_4604_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4604]) ).

cnf(c_0_4604_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4604]) ).

cnf(c_0_4604_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4604]) ).

cnf(c_0_4605_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4605]) ).

cnf(c_0_4605_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4605]) ).

cnf(c_0_4605_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4605]) ).

cnf(c_0_4606_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4606]) ).

cnf(c_0_4606_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4606]) ).

cnf(c_0_4606_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4606]) ).

cnf(c_0_4607_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4607]) ).

cnf(c_0_4607_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4607]) ).

cnf(c_0_4607_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4607]) ).

cnf(c_0_4608_0,axiom,
    ( X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4608]) ).

cnf(c_0_4608_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4608]) ).

cnf(c_0_4608_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4608]) ).

cnf(c_0_4609_0,axiom,
    ( X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4609]) ).

cnf(c_0_4609_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4609]) ).

cnf(c_0_4609_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4609]) ).

cnf(c_0_4610_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4610]) ).

cnf(c_0_4610_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4610]) ).

cnf(c_0_4610_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4610]) ).

cnf(c_0_4611_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4611]) ).

cnf(c_0_4611_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4611]) ).

cnf(c_0_4611_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4611]) ).

cnf(c_0_4612_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4612]) ).

cnf(c_0_4612_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4612]) ).

cnf(c_0_4612_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4612]) ).

cnf(c_0_4613_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4613]) ).

cnf(c_0_4613_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4613]) ).

cnf(c_0_4613_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4613]) ).

cnf(c_0_4614_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4614]) ).

cnf(c_0_4614_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4614]) ).

cnf(c_0_4615_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4615]) ).

cnf(c_0_4615_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4615]) ).

cnf(c_0_4616_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4616]) ).

cnf(c_0_4616_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4616]) ).

cnf(c_0_4617_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4617]) ).

cnf(c_0_4617_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4617]) ).

cnf(c_0_4618_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4618]) ).

cnf(c_0_4618_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4618]) ).

cnf(c_0_4619_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4619]) ).

cnf(c_0_4619_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4619]) ).

cnf(c_0_4620_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),sk1_esk84_2(X1,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4620]) ).

cnf(c_0_4620_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),sk1_esk84_2(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4620]) ).

cnf(c_0_4621_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4621]) ).

cnf(c_0_4621_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4621]) ).

cnf(c_0_4622_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4622]) ).

cnf(c_0_4622_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4622]) ).

cnf(c_0_4623_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4623]) ).

cnf(c_0_4623_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4623]) ).

cnf(c_0_4624_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4624]) ).

cnf(c_0_4624_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4624]) ).

cnf(c_0_4625_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4625]) ).

cnf(c_0_4625_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4625]) ).

cnf(c_0_4626_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4626]) ).

cnf(c_0_4626_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4626]) ).

cnf(c_0_4627_0,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4627]) ).

cnf(c_0_4627_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4627]) ).

cnf(c_0_4628_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4628]) ).

cnf(c_0_4628_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4628]) ).

cnf(c_0_4629_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4629]) ).

cnf(c_0_4629_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4629]) ).

cnf(c_0_4630_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4630]) ).

cnf(c_0_4630_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4630]) ).

cnf(c_0_4631_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4631]) ).

cnf(c_0_4631_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4631]) ).

cnf(c_0_4632_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4632]) ).

cnf(c_0_4632_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4632]) ).

cnf(c_0_4633_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4633]) ).

cnf(c_0_4633_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4633]) ).

cnf(c_0_4634_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4634]) ).

cnf(c_0_4634_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4634]) ).

cnf(c_0_4635_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4635]) ).

cnf(c_0_4635_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4635]) ).

cnf(c_0_4636_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4636]) ).

cnf(c_0_4636_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4636]) ).

cnf(c_0_4637_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4637]) ).

cnf(c_0_4637_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4637]) ).

cnf(c_0_4638_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4638]) ).

cnf(c_0_4638_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4638]) ).

cnf(c_0_4639_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4639]) ).

cnf(c_0_4639_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4639]) ).

cnf(c_0_4640_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4640]) ).

cnf(c_0_4640_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4640]) ).

cnf(c_0_4641_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4641]) ).

cnf(c_0_4641_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4641]) ).

cnf(c_0_4642_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4642]) ).

cnf(c_0_4642_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4642]) ).

cnf(c_0_4643_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4643]) ).

cnf(c_0_4643_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4643]) ).

cnf(c_0_4644_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4644]) ).

cnf(c_0_4644_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4644]) ).

cnf(c_0_4645_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4645]) ).

cnf(c_0_4645_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4645]) ).

cnf(c_0_4646_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4646]) ).

cnf(c_0_4646_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4646]) ).

cnf(c_0_4647_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4647]) ).

cnf(c_0_4647_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4647]) ).

cnf(c_0_4648_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4648]) ).

cnf(c_0_4648_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4648]) ).

cnf(c_0_4649_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4649]) ).

cnf(c_0_4649_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4649]) ).

cnf(c_0_4650_0,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4650]) ).

cnf(c_0_4650_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4650]) ).

cnf(c_0_4651_0,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4651]) ).

cnf(c_0_4651_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4651]) ).

cnf(c_0_4652_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4652]) ).

cnf(c_0_4652_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4652]) ).

cnf(c_0_4653_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(sk1_esk68_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4653]) ).

cnf(c_0_4653_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk68_3(X1,X3,X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4653]) ).

cnf(c_0_4654_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
    | is_Arr859726945e_indi(sk1_esk35_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4654]) ).

cnf(c_0_4654_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk35_3(X1,X3,X2))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_4654]) ).

cnf(c_0_4655_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4655]) ).

cnf(c_0_4655_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4655]) ).

cnf(c_0_4655_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4655]) ).

cnf(c_0_4655_3,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X2),X1))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4655]) ).

cnf(c_0_4656_0,axiom,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(suc,sk1_esk87_2(X1,X2)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4656]) ).

cnf(c_0_4656_1,axiom,
    ( hAPP_nat_nat(suc,sk1_esk87_2(X1,X2)) = X1
    | X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4656]) ).

cnf(c_0_4656_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hAPP_nat_nat(suc,sk1_esk87_2(X1,X2)) = X1
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4656]) ).

cnf(c_0_4657_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4657]) ).

cnf(c_0_4657_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4657]) ).

cnf(c_0_4657_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4657]) ).

cnf(c_0_4658_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4658]) ).

cnf(c_0_4658_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4658]) ).

cnf(c_0_4658_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4658]) ).

cnf(c_0_4659_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk72_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4659]) ).

cnf(c_0_4659_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk72_2(X1,X2)),X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4659]) ).

cnf(c_0_4660_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk73_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4660]) ).

cnf(c_0_4660_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk73_2(X1,X2)),X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4660]) ).

cnf(c_0_4661_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk70_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4661]) ).

cnf(c_0_4661_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk70_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4661]) ).

cnf(c_0_4662_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk71_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4662]) ).

cnf(c_0_4662_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk71_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4662]) ).

cnf(c_0_4663_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk31_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4663]) ).

cnf(c_0_4663_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk31_2(X1,X2)),X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4663]) ).

cnf(c_0_4664_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk32_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4664]) ).

cnf(c_0_4664_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,sk1_esk32_2(X1,X2)),X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4664]) ).

cnf(c_0_4665_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk29_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4665]) ).

cnf(c_0_4665_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk29_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4665]) ).

cnf(c_0_4666_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk30_2(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4666]) ).

cnf(c_0_4666_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk30_2(X1,X2)),X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4666]) ).

cnf(c_0_4667_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4667]) ).

cnf(c_0_4667_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4667]) ).

cnf(c_0_4667_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4667]) ).

cnf(c_0_4668_0,axiom,
    ( is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4668]) ).

cnf(c_0_4668_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4668]) ).

cnf(c_0_4668_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
    | is_Arr859726945e_indi(sk1_esk75_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4668]) ).

cnf(c_0_4673_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4673]) ).

cnf(c_0_4673_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4673]) ).

cnf(c_0_4673_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4673]) ).

cnf(c_0_4673_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4673]) ).

cnf(c_0_4673_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4673]) ).

cnf(c_0_4674_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4674]) ).

cnf(c_0_4674_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4674]) ).

cnf(c_0_4674_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4674]) ).

cnf(c_0_4674_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4674]) ).

cnf(c_0_4674_4,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4674]) ).

cnf(c_0_4675_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4675]) ).

cnf(c_0_4675_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4675]) ).

cnf(c_0_4675_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4675]) ).

cnf(c_0_4675_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4675]) ).

cnf(c_0_4675_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4675]) ).

cnf(c_0_4676_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4676]) ).

cnf(c_0_4676_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4676]) ).

cnf(c_0_4676_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4676]) ).

cnf(c_0_4676_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4676]) ).

cnf(c_0_4676_4,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4676]) ).

cnf(c_0_4677_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4677]) ).

cnf(c_0_4677_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4677]) ).

cnf(c_0_4677_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4677]) ).

cnf(c_0_4677_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4677]) ).

cnf(c_0_4677_4,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4677]) ).

cnf(c_0_4678_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4678]) ).

cnf(c_0_4678_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4678]) ).

cnf(c_0_4678_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4678]) ).

cnf(c_0_4678_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4678]) ).

cnf(c_0_4678_4,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4678]) ).

cnf(c_0_4679_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4679]) ).

cnf(c_0_4679_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4679]) ).

cnf(c_0_4679_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4679]) ).

cnf(c_0_4679_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4679]) ).

cnf(c_0_4679_4,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4679]) ).

cnf(c_0_4680_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4680]) ).

cnf(c_0_4680_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4680]) ).

cnf(c_0_4680_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4680]) ).

cnf(c_0_4680_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4680]) ).

cnf(c_0_4680_4,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4680]) ).

cnf(c_0_4681_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4681]) ).

cnf(c_0_4681_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4681]) ).

cnf(c_0_4681_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4681]) ).

cnf(c_0_4681_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4681]) ).

cnf(c_0_4681_4,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4681]) ).

cnf(c_0_4682_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4682]) ).

cnf(c_0_4682_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4682]) ).

cnf(c_0_4682_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4682]) ).

cnf(c_0_4682_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4682]) ).

cnf(c_0_4682_4,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4682]) ).

cnf(c_0_4683_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4683]) ).

cnf(c_0_4683_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4683]) ).

cnf(c_0_4683_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4683]) ).

cnf(c_0_4683_3,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4683]) ).

cnf(c_0_4683_4,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4683]) ).

cnf(c_0_4684_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4684]) ).

cnf(c_0_4684_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4684]) ).

cnf(c_0_4684_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4684]) ).

cnf(c_0_4684_3,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4684]) ).

cnf(c_0_4684_4,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4684]) ).

cnf(c_0_4685_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4685]) ).

cnf(c_0_4685_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4685]) ).

cnf(c_0_4685_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4685]) ).

cnf(c_0_4685_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4685]) ).

cnf(c_0_4685_4,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4685]) ).

cnf(c_0_4686_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4686]) ).

cnf(c_0_4686_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4686]) ).

cnf(c_0_4686_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4686]) ).

cnf(c_0_4686_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4686]) ).

cnf(c_0_4686_4,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4686]) ).

cnf(c_0_4687_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4687]) ).

cnf(c_0_4687_1,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4687]) ).

cnf(c_0_4687_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4687]) ).

cnf(c_0_4687_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4687]) ).

cnf(c_0_4687_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4687]) ).

cnf(c_0_4688_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4688]) ).

cnf(c_0_4688_1,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4688]) ).

cnf(c_0_4688_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4688]) ).

cnf(c_0_4688_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4688]) ).

cnf(c_0_4688_4,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4688]) ).

cnf(c_0_4689_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 = X1
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4689]) ).

cnf(c_0_4689_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4689]) ).

cnf(c_0_4689_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4689]) ).

cnf(c_0_4689_3,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4689]) ).

cnf(c_0_4689_4,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4689]) ).

cnf(c_0_4690_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 = X1
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4690]) ).

cnf(c_0_4690_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4690]) ).

cnf(c_0_4690_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4690]) ).

cnf(c_0_4690_3,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4690]) ).

cnf(c_0_4690_4,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 = X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4690]) ).

cnf(c_0_4691_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4691]) ).

cnf(c_0_4691_1,axiom,
    ( X2 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4691]) ).

cnf(c_0_4692_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4692]) ).

cnf(c_0_4692_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4692]) ).

cnf(c_0_4692_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4692]) ).

cnf(c_0_4692_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4692]) ).

cnf(c_0_4693_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4693]) ).

cnf(c_0_4693_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4693]) ).

cnf(c_0_4693_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4693]) ).

cnf(c_0_4693_3,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4693]) ).

cnf(c_0_4694_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4694]) ).

cnf(c_0_4694_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4694]) ).

cnf(c_0_4694_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4694]) ).

cnf(c_0_4694_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4694]) ).

cnf(c_0_4695_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4695]) ).

cnf(c_0_4695_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4695]) ).

cnf(c_0_4695_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4695]) ).

cnf(c_0_4695_3,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4695]) ).

cnf(c_0_4696_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4696]) ).

cnf(c_0_4696_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4696]) ).

cnf(c_0_4696_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4696]) ).

cnf(c_0_4696_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4696]) ).

cnf(c_0_4697_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4697]) ).

cnf(c_0_4697_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4697]) ).

cnf(c_0_4697_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4697]) ).

cnf(c_0_4697_3,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4697]) ).

cnf(c_0_4698_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4698]) ).

cnf(c_0_4698_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4698]) ).

cnf(c_0_4698_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4698]) ).

cnf(c_0_4698_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4698]) ).

cnf(c_0_4699_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4699]) ).

cnf(c_0_4699_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4699]) ).

cnf(c_0_4699_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4699]) ).

cnf(c_0_4699_3,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4699]) ).

cnf(c_0_4700_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4700]) ).

cnf(c_0_4700_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4700]) ).

cnf(c_0_4700_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4700]) ).

cnf(c_0_4700_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4700]) ).

cnf(c_0_4701_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4701]) ).

cnf(c_0_4701_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4701]) ).

cnf(c_0_4701_2,axiom,
    ( ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4701]) ).

cnf(c_0_4701_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4701]) ).

cnf(c_0_4702_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4702]) ).

cnf(c_0_4702_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4702]) ).

cnf(c_0_4702_2,axiom,
    ( ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4702]) ).

cnf(c_0_4702_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4702]) ).

cnf(c_0_4703_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4703]) ).

cnf(c_0_4703_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(X3)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4703]) ).

cnf(c_0_4703_2,axiom,
    ( ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4703]) ).

cnf(c_0_4703_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4703]) ).

cnf(c_0_4704_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4704]) ).

cnf(c_0_4704_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(X3)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4704]) ).

cnf(c_0_4704_2,axiom,
    ( ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4704]) ).

cnf(c_0_4704_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X3)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4704]) ).

cnf(c_0_4705_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4705]) ).

cnf(c_0_4705_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4705]) ).

cnf(c_0_4705_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4705]) ).

cnf(c_0_4705_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4705]) ).

cnf(c_0_4706_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4706]) ).

cnf(c_0_4706_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4706]) ).

cnf(c_0_4706_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4706]) ).

cnf(c_0_4706_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4706]) ).

cnf(c_0_4707_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4707]) ).

cnf(c_0_4707_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4707]) ).

cnf(c_0_4707_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4707]) ).

cnf(c_0_4707_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4707]) ).

cnf(c_0_4708_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4708]) ).

cnf(c_0_4708_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4708]) ).

cnf(c_0_4708_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4708]) ).

cnf(c_0_4708_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4708]) ).

cnf(c_0_4709_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4709]) ).

cnf(c_0_4709_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4709]) ).

cnf(c_0_4709_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4709]) ).

cnf(c_0_4709_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4709]) ).

cnf(c_0_4710_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4710]) ).

cnf(c_0_4710_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4710]) ).

cnf(c_0_4710_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4710]) ).

cnf(c_0_4710_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4710]) ).

cnf(c_0_4711_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4711]) ).

cnf(c_0_4711_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4711]) ).

cnf(c_0_4711_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4711]) ).

cnf(c_0_4711_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4711]) ).

cnf(c_0_4712_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4712]) ).

cnf(c_0_4712_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4712]) ).

cnf(c_0_4712_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4712]) ).

cnf(c_0_4712_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4712]) ).

cnf(c_0_4713_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4713]) ).

cnf(c_0_4713_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4713]) ).

cnf(c_0_4713_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4713]) ).

cnf(c_0_4713_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4713]) ).

cnf(c_0_4714_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4714]) ).

cnf(c_0_4714_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4714]) ).

cnf(c_0_4714_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4714]) ).

cnf(c_0_4714_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4714]) ).

cnf(c_0_4715_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4715]) ).

cnf(c_0_4715_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4715]) ).

cnf(c_0_4715_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4715]) ).

cnf(c_0_4715_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4715]) ).

cnf(c_0_4716_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4716]) ).

cnf(c_0_4716_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4716]) ).

cnf(c_0_4716_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4716]) ).

cnf(c_0_4716_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4716]) ).

cnf(c_0_4717_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4717]) ).

cnf(c_0_4717_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4717]) ).

cnf(c_0_4717_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4717]) ).

cnf(c_0_4717_3,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4717]) ).

cnf(c_0_4718_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4718]) ).

cnf(c_0_4718_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4718]) ).

cnf(c_0_4718_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4718]) ).

cnf(c_0_4718_3,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4718]) ).

cnf(c_0_4719_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk81_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4719]) ).

cnf(c_0_4719_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk81_2(X2,X1)),X1))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4719]) ).

cnf(c_0_4720_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk79_2(X1,X2)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4720]) ).

cnf(c_0_4720_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk79_2(X1,X2)),X1))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4720]) ).

cnf(c_0_4721_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk77_2(X1,X2)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4721]) ).

cnf(c_0_4721_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sk1_esk77_2(X1,X2)),X1))
    | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4721]) ).

cnf(c_0_4722_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4722]) ).

cnf(c_0_4722_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4722]) ).

cnf(c_0_4722_2,axiom,
    ( hBOOL(X2)
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4722]) ).

cnf(c_0_4722_3,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4722]) ).

cnf(c_0_4723_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4723]) ).

cnf(c_0_4723_1,axiom,
    ( hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4723]) ).

cnf(c_0_4723_2,axiom,
    ( hBOOL(X1)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4723]) ).

cnf(c_0_4723_3,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(X1)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4723]) ).

cnf(c_0_4724_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4724]) ).

cnf(c_0_4724_1,axiom,
    ( hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4724]) ).

cnf(c_0_4724_2,axiom,
    ( hBOOL(X2)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4724]) ).

cnf(c_0_4724_3,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(X2)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4724]) ).

cnf(c_0_4725_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(X3)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4725]) ).

cnf(c_0_4725_1,axiom,
    ( hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4725]) ).

cnf(c_0_4725_2,axiom,
    ( hBOOL(X2)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4725]) ).

cnf(c_0_4725_3,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4725]) ).

cnf(c_0_4726_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(X3)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4726]) ).

cnf(c_0_4726_1,axiom,
    ( hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4726]) ).

cnf(c_0_4726_2,axiom,
    ( hBOOL(X1)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4726]) ).

cnf(c_0_4726_3,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(X3)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4726]) ).

cnf(c_0_4727_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
    | hAPP_f1817389232t_bool(X1,sk1_esk33_2(X1,X2)) != hAPP_A340536322t_bool(sk1_esk33_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4727]) ).

cnf(c_0_4727_1,axiom,
    ( hAPP_f1817389232t_bool(X1,sk1_esk33_2(X1,X2)) != hAPP_A340536322t_bool(sk1_esk33_2(X1,X2),X2)
    | hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4727]) ).

cnf(c_0_4728_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4728]) ).

cnf(c_0_4728_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4728]) ).

cnf(c_0_4728_2,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4728]) ).

cnf(c_0_4729_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4729]) ).

cnf(c_0_4729_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4729]) ).

cnf(c_0_4729_2,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4729]) ).

cnf(c_0_4730_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4730]) ).

cnf(c_0_4730_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4730]) ).

cnf(c_0_4730_2,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4730]) ).

cnf(c_0_4731_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4731]) ).

cnf(c_0_4731_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4731]) ).

cnf(c_0_4731_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4731]) ).

cnf(c_0_4732_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4732]) ).

cnf(c_0_4732_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4732]) ).

cnf(c_0_4732_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4732]) ).

cnf(c_0_4733_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4733]) ).

cnf(c_0_4733_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4733]) ).

cnf(c_0_4733_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4733]) ).

cnf(c_0_4734_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4734]) ).

cnf(c_0_4734_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4734]) ).

cnf(c_0_4734_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4734]) ).

cnf(c_0_4735_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4735]) ).

cnf(c_0_4735_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4735]) ).

cnf(c_0_4735_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4735]) ).

cnf(c_0_4736_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4736]) ).

cnf(c_0_4736_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4736]) ).

cnf(c_0_4736_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4736]) ).

cnf(c_0_4737_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4737]) ).

cnf(c_0_4737_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4737]) ).

cnf(c_0_4737_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4737]) ).

cnf(c_0_4738_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4738]) ).

cnf(c_0_4738_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4738]) ).

cnf(c_0_4738_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4738]) ).

cnf(c_0_4739_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4739]) ).

cnf(c_0_4739_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4739]) ).

cnf(c_0_4739_2,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4739]) ).

cnf(c_0_4740_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4740]) ).

cnf(c_0_4740_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4740]) ).

cnf(c_0_4740_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4740]) ).

cnf(c_0_4741_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4741]) ).

cnf(c_0_4741_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4741]) ).

cnf(c_0_4741_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4741]) ).

cnf(c_0_4742_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4742]) ).

cnf(c_0_4742_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4742]) ).

cnf(c_0_4742_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4742]) ).

cnf(c_0_4743_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4743]) ).

cnf(c_0_4743_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4743]) ).

cnf(c_0_4743_2,axiom,
    ( X1 != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4743]) ).

cnf(c_0_4744_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4744]) ).

cnf(c_0_4744_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4744]) ).

cnf(c_0_4744_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4744]) ).

cnf(c_0_4745_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4745]) ).

cnf(c_0_4745_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4745]) ).

cnf(c_0_4745_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4745]) ).

cnf(c_0_4746_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4746]) ).

cnf(c_0_4746_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4746]) ).

cnf(c_0_4746_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4746]) ).

cnf(c_0_4747_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4747]) ).

cnf(c_0_4747_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4747]) ).

cnf(c_0_4747_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4747]) ).

cnf(c_0_4748_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4748]) ).

cnf(c_0_4748_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4748]) ).

cnf(c_0_4748_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4748]) ).

cnf(c_0_4749_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4749]) ).

cnf(c_0_4749_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4749]) ).

cnf(c_0_4749_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4749]) ).

cnf(c_0_4750_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4750]) ).

cnf(c_0_4750_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4750]) ).

cnf(c_0_4750_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4750]) ).

cnf(c_0_4751_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4751]) ).

cnf(c_0_4751_1,axiom,
    ( X3 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4751]) ).

cnf(c_0_4751_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
    | X3 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4751]) ).

cnf(c_0_4752_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4752]) ).

cnf(c_0_4752_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4752]) ).

cnf(c_0_4752_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4752]) ).

cnf(c_0_4753_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4753]) ).

cnf(c_0_4753_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4753]) ).

cnf(c_0_4753_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4753]) ).

cnf(c_0_4754_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4754]) ).

cnf(c_0_4754_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4754]) ).

cnf(c_0_4754_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4754]) ).

cnf(c_0_4755_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X3 != X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4755]) ).

cnf(c_0_4755_1,axiom,
    ( X3 != X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4755]) ).

cnf(c_0_4755_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
    | X3 != X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4755]) ).

cnf(c_0_4756_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4756]) ).

cnf(c_0_4756_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4756]) ).

cnf(c_0_4756_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4756]) ).

cnf(c_0_4757_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4757]) ).

cnf(c_0_4757_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4757]) ).

cnf(c_0_4757_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4757]) ).

cnf(c_0_4758_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4758]) ).

cnf(c_0_4758_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4758]) ).

cnf(c_0_4758_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4758]) ).

cnf(c_0_4759_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4759]) ).

cnf(c_0_4759_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4759]) ).

cnf(c_0_4759_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4759]) ).

cnf(c_0_4760_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4760]) ).

cnf(c_0_4760_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4760]) ).

cnf(c_0_4760_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4760]) ).

cnf(c_0_4761_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4761]) ).

cnf(c_0_4761_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4761]) ).

cnf(c_0_4761_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4761]) ).

cnf(c_0_4762_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4762]) ).

cnf(c_0_4762_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4762]) ).

cnf(c_0_4762_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4762]) ).

cnf(c_0_4763_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4763]) ).

cnf(c_0_4763_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4763]) ).

cnf(c_0_4763_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4763]) ).

cnf(c_0_4764_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4764]) ).

cnf(c_0_4764_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4764]) ).

cnf(c_0_4764_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4764]) ).

cnf(c_0_4765_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4765]) ).

cnf(c_0_4765_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4765]) ).

cnf(c_0_4765_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4765]) ).

cnf(c_0_4766_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4766]) ).

cnf(c_0_4766_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4766]) ).

cnf(c_0_4766_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4766]) ).

cnf(c_0_4767_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4767]) ).

cnf(c_0_4767_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4767]) ).

cnf(c_0_4767_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4767]) ).

cnf(c_0_4768_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4768]) ).

cnf(c_0_4768_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4768]) ).

cnf(c_0_4768_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4768]) ).

cnf(c_0_4769_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4769]) ).

cnf(c_0_4769_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4769]) ).

cnf(c_0_4769_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4769]) ).

cnf(c_0_4770_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4770]) ).

cnf(c_0_4770_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4770]) ).

cnf(c_0_4770_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4770]) ).

cnf(c_0_4771_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4771]) ).

cnf(c_0_4771_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4771]) ).

cnf(c_0_4771_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4771]) ).

cnf(c_0_4772_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4772]) ).

cnf(c_0_4772_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4772]) ).

cnf(c_0_4772_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4772]) ).

cnf(c_0_4773_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4773]) ).

cnf(c_0_4773_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4773]) ).

cnf(c_0_4773_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4773]) ).

cnf(c_0_4774_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4774]) ).

cnf(c_0_4774_1,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4774]) ).

cnf(c_0_4774_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4774]) ).

cnf(c_0_4775_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4775]) ).

cnf(c_0_4775_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4775]) ).

cnf(c_0_4775_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4775]) ).

cnf(c_0_4776_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4776]) ).

cnf(c_0_4776_1,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4776]) ).

cnf(c_0_4776_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 = X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4776]) ).

cnf(c_0_4777_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4777]) ).

cnf(c_0_4777_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4777]) ).

cnf(c_0_4778_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4778]) ).

cnf(c_0_4778_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4778]) ).

cnf(c_0_4778_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4778]) ).

cnf(c_0_4779_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4779]) ).

cnf(c_0_4779_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X3,X2))
    | hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4779]) ).

cnf(c_0_4779_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))
    | ~ hBOOL(hAPP_nat_bool(X3,X2))
    | hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4779]) ).

cnf(c_0_4780_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4780]) ).

cnf(c_0_4780_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4780]) ).

cnf(c_0_4781_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4781]) ).

cnf(c_0_4781_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4781]) ).

cnf(c_0_4782_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4782]) ).

cnf(c_0_4782_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4782]) ).

cnf(c_0_4783_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4783]) ).

cnf(c_0_4783_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4783]) ).

cnf(c_0_4784_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4784]) ).

cnf(c_0_4784_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4784]) ).

cnf(c_0_4785_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4785]) ).

cnf(c_0_4785_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4785]) ).

cnf(c_0_4786_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4786]) ).

cnf(c_0_4786_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4786]) ).

cnf(c_0_4787_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4787]) ).

cnf(c_0_4787_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4787]) ).

cnf(c_0_4788_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4788]) ).

cnf(c_0_4788_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4788]) ).

cnf(c_0_4789_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4789]) ).

cnf(c_0_4789_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4789]) ).

cnf(c_0_4790_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4790]) ).

cnf(c_0_4790_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4790]) ).

cnf(c_0_4791_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4791]) ).

cnf(c_0_4791_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4791]) ).

cnf(c_0_4792_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4792]) ).

cnf(c_0_4792_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4792]) ).

cnf(c_0_4793_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4793]) ).

cnf(c_0_4793_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4793]) ).

cnf(c_0_4794_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4794]) ).

cnf(c_0_4794_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4794]) ).

cnf(c_0_4795_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4795]) ).

cnf(c_0_4795_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4795]) ).

cnf(c_0_4796_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4796]) ).

cnf(c_0_4796_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4796]) ).

cnf(c_0_4797_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4797]) ).

cnf(c_0_4797_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4797]) ).

cnf(c_0_4798_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4798]) ).

cnf(c_0_4798_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4798]) ).

cnf(c_0_4799_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4799]) ).

cnf(c_0_4799_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4799]) ).

cnf(c_0_4800_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4800]) ).

cnf(c_0_4800_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4800]) ).

cnf(c_0_4801_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4801]) ).

cnf(c_0_4801_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4801]) ).

cnf(c_0_4802_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4802]) ).

cnf(c_0_4802_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4802]) ).

cnf(c_0_4803_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4803]) ).

cnf(c_0_4803_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4803]) ).

cnf(c_0_4804_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4804]) ).

cnf(c_0_4804_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4804]) ).

cnf(c_0_4805_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4805]) ).

cnf(c_0_4805_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4805]) ).

cnf(c_0_4806_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4806]) ).

cnf(c_0_4806_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4806]) ).

cnf(c_0_4807_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4807]) ).

cnf(c_0_4807_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4807]) ).

cnf(c_0_4808_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4808]) ).

cnf(c_0_4808_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4808]) ).

cnf(c_0_4810_0,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk25_2(X2,X1)),arrow_912654623le_Lin))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4810]) ).

cnf(c_0_4810_1,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk25_2(X2,X1)),arrow_912654623le_Lin))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4810]) ).

cnf(c_0_4810_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk25_2(X2,X1)),arrow_912654623le_Lin))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4810]) ).

cnf(c_0_4810_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk25_2(X2,X1)),arrow_912654623le_Lin))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4810]) ).

cnf(c_0_4811_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),sk1_esk84_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4811]) ).

cnf(c_0_4811_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),sk1_esk84_2(X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4811]) ).

cnf(c_0_4812_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk55_2(X2,X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4812]) ).

cnf(c_0_4812_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),sk1_esk55_2(X2,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4812]) ).

cnf(c_0_4813_0,axiom,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4813]) ).

cnf(c_0_4813_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat)))
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4813]) ).

cnf(c_0_4814_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk96_1(X1))))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4814]) ).

cnf(c_0_4814_1,axiom,
    ( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk96_1(X1))))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4814]) ).

cnf(c_0_4814_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,sk1_esk96_1(X1))))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4814]) ).

cnf(c_0_4815_0,axiom,
    ( X2 = hAPP_nat_nat(suc,X1)
    | hAPP_nat_nat(suc,sk1_esk92_2(X1,X2)) = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4815]) ).

cnf(c_0_4815_1,axiom,
    ( hAPP_nat_nat(suc,sk1_esk92_2(X1,X2)) = X2
    | X2 = hAPP_nat_nat(suc,X1)
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4815]) ).

cnf(c_0_4815_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hAPP_nat_nat(suc,sk1_esk92_2(X1,X2)) = X2
    | X2 = hAPP_nat_nat(suc,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4815]) ).

cnf(c_0_4817_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,sk1_esk83_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4817]) ).

cnf(c_0_4817_1,axiom,
    ( hBOOL(hAPP_nat_bool(X1,sk1_esk83_2(X2,X1)))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4817]) ).

cnf(c_0_4817_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,sk1_esk83_2(X2,X1)))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4817]) ).

cnf(c_0_4818_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4818]) ).

cnf(c_0_4818_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4818]) ).

cnf(c_0_4818_2,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4818]) ).

cnf(c_0_4819_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,sk1_esk97_2(X2,X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4819]) ).

cnf(c_0_4819_1,axiom,
    ( hBOOL(hAPP_nat_bool(X1,sk1_esk97_2(X2,X1)))
    | hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4819]) ).

cnf(c_0_4819_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | hBOOL(hAPP_nat_bool(X1,sk1_esk97_2(X2,X1)))
    | hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4819]) ).

cnf(c_0_4820_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4820]) ).

cnf(c_0_4820_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4820]) ).

cnf(c_0_4820_2,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4820]) ).

cnf(c_0_4821_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4821]) ).

cnf(c_0_4821_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4821]) ).

cnf(c_0_4821_2,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4821]) ).

cnf(c_0_4822_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4822]) ).

cnf(c_0_4822_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4822]) ).

cnf(c_0_4822_2,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4822]) ).

cnf(c_0_4823_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4823]) ).

cnf(c_0_4823_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 = X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4823]) ).

cnf(c_0_4823_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4823]) ).

cnf(c_0_4824_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4824]) ).

cnf(c_0_4824_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4824]) ).

cnf(c_0_4824_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4824]) ).

cnf(c_0_4825_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4825]) ).

cnf(c_0_4825_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4825]) ).

cnf(c_0_4825_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4825]) ).

cnf(c_0_4826_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4826]) ).

cnf(c_0_4826_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4826]) ).

cnf(c_0_4826_2,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4826]) ).

cnf(c_0_4827_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4827]) ).

cnf(c_0_4827_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4827]) ).

cnf(c_0_4827_2,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X2 = X1
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4827]) ).

cnf(c_0_4829_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4829]) ).

cnf(c_0_4829_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4829]) ).

cnf(c_0_4830_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4830]) ).

cnf(c_0_4830_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4830]) ).

cnf(c_0_4831_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4831]) ).

cnf(c_0_4831_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4831]) ).

cnf(c_0_4832_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4832]) ).

cnf(c_0_4832_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4832]) ).

cnf(c_0_4833_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4833]) ).

cnf(c_0_4833_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4833]) ).

cnf(c_0_4834_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4834]) ).

cnf(c_0_4834_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4834]) ).

cnf(c_0_4835_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4835]) ).

cnf(c_0_4835_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4835]) ).

cnf(c_0_4836_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4836]) ).

cnf(c_0_4836_1,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4836]) ).

cnf(c_0_4837_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4837]) ).

cnf(c_0_4837_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))
    | hBOOL(hAPP_nat_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4837]) ).

cnf(c_0_4838_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(X1,X2))
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4838]) ).

cnf(c_0_4838_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),X1))
    | hBOOL(hAPP_f1733357041l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4838]) ).

cnf(c_0_4839_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(X1,X2))
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4839]) ).

cnf(c_0_4839_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),X1))
    | hBOOL(hAPP_f446648900l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4839]) ).

cnf(c_0_4840_0,axiom,
    ( hBOOL(hAPP_f1378099862l_bool(X1,X2))
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4840]) ).

cnf(c_0_4840_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X1))
    | hBOOL(hAPP_f1378099862l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4840]) ).

cnf(c_0_4841_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4841]) ).

cnf(c_0_4841_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X1))
    | hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4841]) ).

cnf(c_0_4842_0,axiom,
    ( hBOOL(hAPP_P1676879539t_bool(X1,X2))
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4842]) ).

cnf(c_0_4842_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2),X1))
    | hBOOL(hAPP_P1676879539t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4842]) ).

cnf(c_0_4843_0,axiom,
    ( hBOOL(hAPP_bool_bool(X1,X2))
    | ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4843]) ).

cnf(c_0_4843_1,axiom,
    ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2),X1))
    | hBOOL(hAPP_bool_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4843]) ).

cnf(c_0_4844_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(X1,X2))
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4844]) ).

cnf(c_0_4844_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X1))
    | hBOOL(hAPP_A416869060i_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4844]) ).

cnf(c_0_4845_0,axiom,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4845_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4845_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4845_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4845_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4845_5,axiom,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4845]) ).

cnf(c_0_4846_0,axiom,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4846_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4846_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4846_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4846_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4846_5,axiom,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4846]) ).

cnf(c_0_4847_0,axiom,
    ( X4 = X2
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4847_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4847_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4847_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4847_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4847_5,axiom,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X4 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4847]) ).

cnf(c_0_4848_0,axiom,
    ( X3 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4848_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4848_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4848_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | ~ is_Arr723427730le_alt(X4)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4848_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4848_5,axiom,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4848]) ).

cnf(c_0_4850_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4850]) ).

cnf(c_0_4850_1,axiom,
    ( X1 != hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4850]) ).

cnf(c_0_4853_0,axiom,
    ( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | ~ hBOOL(hAPP_nat_bool(X1,sk1_esk96_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4853]) ).

cnf(c_0_4853_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
    | ~ hBOOL(hAPP_nat_bool(X1,sk1_esk96_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_4853]) ).

cnf(c_0_4853_2,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X1,sk1_esk96_1(X1)))
    | ~ hBOOL(hAPP_nat_bool(X1,X2))
    | hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4853]) ).

cnf(c_0_4854_0,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4854]) ).

cnf(c_0_4854_1,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4854]) ).

cnf(c_0_4854_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4854]) ).

cnf(c_0_4854_3,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4854]) ).

cnf(c_0_4855_0,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4855]) ).

cnf(c_0_4855_1,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4855]) ).

cnf(c_0_4855_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4855]) ).

cnf(c_0_4855_3,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4855]) ).

cnf(c_0_4856_0,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4856]) ).

cnf(c_0_4856_1,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4856]) ).

cnf(c_0_4856_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4856]) ).

cnf(c_0_4856_3,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4856]) ).

cnf(c_0_4857_0,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4857]) ).

cnf(c_0_4857_1,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4857]) ).

cnf(c_0_4857_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4857]) ).

cnf(c_0_4857_3,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4857]) ).

cnf(c_0_4858_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X2 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4858]) ).

cnf(c_0_4858_1,axiom,
    ( X2 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4858]) ).

cnf(c_0_4860_0,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4860]) ).

cnf(c_0_4860_1,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4860]) ).

cnf(c_0_4860_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4860]) ).

cnf(c_0_4861_0,axiom,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),hAPP_A1895296483di_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4861]) ).

cnf(c_0_4861_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),hAPP_A1895296483di_nat(X1,X2)) = X2
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4861]) ).

cnf(c_0_4861_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),hAPP_A1895296483di_nat(X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4861]) ).

cnf(c_0_4862_0,axiom,
    ( is_bool(in_rel1361124802le_alt(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4862]) ).

cnf(c_0_4862_1,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | is_bool(in_rel1361124802le_alt(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4862]) ).

cnf(c_0_4862_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | is_bool(in_rel1361124802le_alt(X1,X2,X3))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4862]) ).

cnf(c_0_4862_3,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | is_bool(in_rel1361124802le_alt(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4862]) ).

cnf(c_0_4863_0,axiom,
    ( is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4863]) ).

cnf(c_0_4863_1,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4863]) ).

cnf(c_0_4863_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4863]) ).

cnf(c_0_4863_3,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_4863]) ).

cnf(c_0_4864_0,axiom,
    ( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3
    | hAPP_A1895296483di_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4864]) ).

cnf(c_0_4864_1,axiom,
    ( hAPP_A1895296483di_nat(X1,X3) != X2
    | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4864]) ).

cnf(c_0_4864_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,X3) != X2
    | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3
    | ~ is_Arr859726945e_indi(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4864]) ).

cnf(c_0_4864_3,axiom,
    ( ~ is_Arr859726945e_indi(X3)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,X3) != X2
    | hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X1),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4864]) ).

cnf(c_0_4865_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk90_1(X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4865]) ).

cnf(c_0_4865_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hAPP_nat_nat(suc,sk1_esk90_1(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4865]) ).

cnf(c_0_4866_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk86_1(X1)) = X1
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4866]) ).

cnf(c_0_4866_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | hAPP_nat_nat(suc,sk1_esk86_1(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4866]) ).

cnf(c_0_4867_0,axiom,
    ( hBOOL(X2)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4867]) ).

cnf(c_0_4867_1,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4867]) ).

cnf(c_0_4867_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
    | hBOOL(X1)
    | hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4867]) ).

cnf(c_0_4868_0,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4868]) ).

cnf(c_0_4868_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4868]) ).

cnf(c_0_4868_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4868]) ).

cnf(c_0_4869_0,axiom,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4869]) ).

cnf(c_0_4869_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4869]) ).

cnf(c_0_4887_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4887]) ).

cnf(c_0_4887_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4887]) ).

cnf(c_0_4888_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk15_1(X1)),arrow_583275979e_Prof)) ),
    inference(literals_permutation,[status(thm)],[c_0_4888]) ).

cnf(c_0_4888_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk15_1(X1)),arrow_583275979e_Prof))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4888]) ).

cnf(c_0_4889_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk10_1(X1)),arrow_583275979e_Prof)) ),
    inference(literals_permutation,[status(thm)],[c_0_4889]) ).

cnf(c_0_4889_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk10_1(X1)),arrow_583275979e_Prof))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4889]) ).

cnf(c_0_4890_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk11_1(X1)),arrow_583275979e_Prof)) ),
    inference(literals_permutation,[status(thm)],[c_0_4890]) ).

cnf(c_0_4890_1,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,sk1_esk11_1(X1)),arrow_583275979e_Prof))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4890]) ).

cnf(c_0_4891_0,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4891]) ).

cnf(c_0_4891_1,axiom,
    ( X1 != top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4891]) ).

cnf(c_0_4891_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
    | X1 != top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4891]) ).

cnf(c_0_4892_0,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4892]) ).

cnf(c_0_4892_1,axiom,
    ( X1 != top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4892]) ).

cnf(c_0_4892_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
    | X1 != top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4892]) ).

cnf(c_0_4893_0,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4893]) ).

cnf(c_0_4893_1,axiom,
    ( X1 != top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4893]) ).

cnf(c_0_4893_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
    | X1 != top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4893]) ).

cnf(c_0_4894_0,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4894]) ).

cnf(c_0_4894_1,axiom,
    ( X1 != top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4894]) ).

cnf(c_0_4894_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
    | X1 != top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4894]) ).

cnf(c_0_4895_0,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4895]) ).

cnf(c_0_4895_1,axiom,
    ( X1 != top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4895]) ).

cnf(c_0_4895_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
    | X1 != top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4895]) ).

cnf(c_0_4896_0,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4896]) ).

cnf(c_0_4896_1,axiom,
    ( X1 != top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4896]) ).

cnf(c_0_4896_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
    | X1 != top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4896]) ).

cnf(c_0_4897_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4897]) ).

cnf(c_0_4897_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4897]) ).

cnf(c_0_4898_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4898]) ).

cnf(c_0_4898_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4898]) ).

cnf(c_0_4899_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4899]) ).

cnf(c_0_4899_1,axiom,
    ( X1 != zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_4899]) ).

cnf(c_0_4900_0,axiom,
    ( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X2) = X3
    | hAPP_nat_nat(X1,X3) != X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4900]) ).

cnf(c_0_4900_1,axiom,
    ( hAPP_nat_nat(X1,X3) != X2
    | hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X2) = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4900]) ).

cnf(c_0_4900_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X3) != X2
    | hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4900]) ).

cnf(c_0_4901_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
    | ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4901]) ).

cnf(c_0_4901_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(X2,X1))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4901]) ).

cnf(c_0_4902_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1733357041l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4902]) ).

cnf(c_0_4902_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(X2,X1))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4902]) ).

cnf(c_0_4903_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
    | ~ hBOOL(hAPP_f446648900l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4903]) ).

cnf(c_0_4903_1,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(X2,X1))
    | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4903]) ).

cnf(c_0_4904_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
    | ~ hBOOL(hAPP_f1378099862l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4904]) ).

cnf(c_0_4904_1,axiom,
    ( ~ hBOOL(hAPP_f1378099862l_bool(X2,X1))
    | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4904]) ).

cnf(c_0_4905_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
    | ~ hBOOL(hAPP_P1813625415t_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4905]) ).

cnf(c_0_4905_1,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(X2,X1))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4905]) ).

cnf(c_0_4906_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
    | ~ hBOOL(hAPP_P1676879539t_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4906]) ).

cnf(c_0_4906_1,axiom,
    ( ~ hBOOL(hAPP_P1676879539t_bool(X2,X1))
    | hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4906]) ).

cnf(c_0_4907_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
    | ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4907]) ).

cnf(c_0_4907_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(X2,X1))
    | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4907]) ).

cnf(c_0_4908_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
    | ~ hBOOL(hAPP_A416869060i_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4908]) ).

cnf(c_0_4908_1,axiom,
    ( ~ hBOOL(hAPP_A416869060i_bool(X2,X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4908]) ).

cnf(c_0_4909_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4909]) ).

cnf(c_0_4909_1,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4909]) ).

cnf(c_0_4910_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4910]) ).

cnf(c_0_4910_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4910]) ).

cnf(c_0_4911_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4911]) ).

cnf(c_0_4911_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4911]) ).

cnf(c_0_4912_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4912]) ).

cnf(c_0_4912_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4912]) ).

cnf(c_0_4913_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4913]) ).

cnf(c_0_4913_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4913]) ).

cnf(c_0_4914_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4914]) ).

cnf(c_0_4914_1,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4914]) ).

cnf(c_0_4915_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4915]) ).

cnf(c_0_4915_1,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4915]) ).

cnf(c_0_4916_0,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4916]) ).

cnf(c_0_4916_1,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4916]) ).

cnf(c_0_4917_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4917]) ).

cnf(c_0_4917_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4917]) ).

cnf(c_0_4918_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4918]) ).

cnf(c_0_4918_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4918]) ).

cnf(c_0_4919_0,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4919]) ).

cnf(c_0_4919_1,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4919]) ).

cnf(c_0_4920_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4920]) ).

cnf(c_0_4920_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4920]) ).

cnf(c_0_4921_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4921]) ).

cnf(c_0_4921_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4921]) ).

cnf(c_0_4922_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4922]) ).

cnf(c_0_4922_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4922]) ).

cnf(c_0_4923_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4923]) ).

cnf(c_0_4923_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4923]) ).

cnf(c_0_4924_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4924]) ).

cnf(c_0_4924_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4924]) ).

cnf(c_0_4925_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4925]) ).

cnf(c_0_4925_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4925]) ).

cnf(c_0_4926_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4926]) ).

cnf(c_0_4926_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4926]) ).

cnf(c_0_4927_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4927]) ).

cnf(c_0_4927_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4927]) ).

cnf(c_0_4928_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4928]) ).

cnf(c_0_4928_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4928]) ).

cnf(c_0_4929_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4929]) ).

cnf(c_0_4929_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4929]) ).

cnf(c_0_4930_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4930]) ).

cnf(c_0_4930_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4930]) ).

cnf(c_0_4931_0,axiom,
    ( X1 != X2
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4931]) ).

cnf(c_0_4931_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4931]) ).

cnf(c_0_4932_0,axiom,
    ( X1 = X2
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4932]) ).

cnf(c_0_4932_1,axiom,
    ( hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4932]) ).

cnf(c_0_4932_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4932]) ).

cnf(c_0_4932_3,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2
    | ~ is_Arr859726945e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4932]) ).

cnf(c_0_4932_4,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4932]) ).

cnf(c_0_4933_0,axiom,
    ( X2 = X1
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4933]) ).

cnf(c_0_4933_1,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | X2 = X1
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4933]) ).

cnf(c_0_4933_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4933]) ).

cnf(c_0_4933_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X2 = X1
    | hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4933]) ).

cnf(c_0_4933_4,axiom,
    ( hAPP_A1895296483di_nat(X3,X2) != hAPP_A1895296483di_nat(X3,X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4933]) ).

cnf(c_0_4934_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,sk1_esk73_2(X1,X2)) = hAPP_A1895296483di_nat(X1,sk1_esk72_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4934]) ).

cnf(c_0_4934_1,axiom,
    ( hAPP_A1895296483di_nat(X1,sk1_esk73_2(X1,X2)) = hAPP_A1895296483di_nat(X1,sk1_esk72_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4934]) ).

cnf(c_0_4935_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,sk1_esk71_2(X1,X2)) = hAPP_nat_nat(X1,sk1_esk70_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4935]) ).

cnf(c_0_4935_1,axiom,
    ( hAPP_nat_nat(X1,sk1_esk71_2(X1,X2)) = hAPP_nat_nat(X1,sk1_esk70_2(X1,X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4935]) ).

cnf(c_0_4936_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | hAPP_A1895296483di_nat(X1,sk1_esk32_2(X1,X2)) = hAPP_A1895296483di_nat(X1,sk1_esk31_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4936]) ).

cnf(c_0_4936_1,axiom,
    ( hAPP_A1895296483di_nat(X1,sk1_esk32_2(X1,X2)) = hAPP_A1895296483di_nat(X1,sk1_esk31_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4936]) ).

cnf(c_0_4937_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | hAPP_nat_nat(X1,sk1_esk30_2(X1,X2)) = hAPP_nat_nat(X1,sk1_esk29_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4937]) ).

cnf(c_0_4937_1,axiom,
    ( hAPP_nat_nat(X1,sk1_esk30_2(X1,X2)) = hAPP_nat_nat(X1,sk1_esk29_2(X1,X2))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4937]) ).

cnf(c_0_4938_0,axiom,
    ( hBOOL(top_top_bool)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4938]) ).

cnf(c_0_4938_1,axiom,
    ( hBOOL(X1)
    | hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4938]) ).

cnf(c_0_4938_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(X1)
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4938]) ).

cnf(c_0_4939_0,axiom,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4939]) ).

cnf(c_0_4939_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4939]) ).

cnf(c_0_4940_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4940]) ).

cnf(c_0_4940_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4940]) ).

cnf(c_0_4942_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4942]) ).

cnf(c_0_4942_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4942]) ).

cnf(c_0_4942_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4942]) ).

cnf(c_0_4943_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4943]) ).

cnf(c_0_4943_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4943]) ).

cnf(c_0_4943_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4943]) ).

cnf(c_0_4950_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4950]) ).

cnf(c_0_4950_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(X1)
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4950]) ).

cnf(c_0_4950_2,axiom,
    ( ~ hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4950]) ).

cnf(c_0_4951_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4951]) ).

cnf(c_0_4951_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(X1)
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_4951]) ).

cnf(c_0_4951_2,axiom,
    ( ~ hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4951]) ).

cnf(c_0_4952_0,axiom,
    ( X1 = top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4952]) ).

cnf(c_0_4952_1,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4952]) ).

cnf(c_0_4952_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | X1 = top_to207207712i_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4952]) ).

cnf(c_0_4953_0,axiom,
    ( X1 = top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4953]) ).

cnf(c_0_4953_1,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4953]) ).

cnf(c_0_4953_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | X1 = top_to1257323279t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4953]) ).

cnf(c_0_4954_0,axiom,
    ( X1 = top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4954]) ).

cnf(c_0_4954_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4954]) ).

cnf(c_0_4954_2,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | X1 = top_to1773227171t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4954]) ).

cnf(c_0_4955_0,axiom,
    ( X1 = top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4955]) ).

cnf(c_0_4955_1,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4955]) ).

cnf(c_0_4955_2,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | X1 = top_to935749874l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4955]) ).

cnf(c_0_4956_0,axiom,
    ( X1 = top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4956]) ).

cnf(c_0_4956_1,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4956]) ).

cnf(c_0_4956_2,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | X1 = top_to1849101472l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4956]) ).

cnf(c_0_4957_0,axiom,
    ( X1 = top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4957]) ).

cnf(c_0_4957_1,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4957]) ).

cnf(c_0_4957_2,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | X1 = top_to846262053l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4957]) ).

cnf(c_0_4958_0,axiom,
    ( X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1)
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4958]) ).

cnf(c_0_4958_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | X1 = top_to207207712i_bool
    | ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4958]) ).

cnf(c_0_4958_2,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1)
    | X1 = top_to207207712i_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4958]) ).

cnf(c_0_4959_0,axiom,
    ( X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1)
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4959]) ).

cnf(c_0_4959_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | X1 = top_to1257323279t_bool
    | ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4959]) ).

cnf(c_0_4959_2,axiom,
    ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1)
    | X1 = top_to1257323279t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4959]) ).

cnf(c_0_4960_0,axiom,
    ( X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1)
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4960]) ).

cnf(c_0_4960_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | X1 = top_to1773227171t_bool
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4960]) ).

cnf(c_0_4960_2,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1)
    | X1 = top_to1773227171t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4960]) ).

cnf(c_0_4961_0,axiom,
    ( X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1)
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4961]) ).

cnf(c_0_4961_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | X1 = top_to935749874l_bool
    | ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4961]) ).

cnf(c_0_4961_2,axiom,
    ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1)
    | X1 = top_to935749874l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4961]) ).

cnf(c_0_4962_0,axiom,
    ( X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1)
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4962]) ).

cnf(c_0_4962_1,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | X1 = top_to1849101472l_bool
    | ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4962]) ).

cnf(c_0_4962_2,axiom,
    ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1)
    | X1 = top_to1849101472l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4962]) ).

cnf(c_0_4963_0,axiom,
    ( X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1)
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4963]) ).

cnf(c_0_4963_1,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | X1 = top_to846262053l_bool
    | ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4963]) ).

cnf(c_0_4963_2,axiom,
    ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1)
    | X1 = top_to846262053l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4963]) ).

cnf(c_0_4964_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4964]) ).

cnf(c_0_4964_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4964]) ).

cnf(c_0_4965_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4965]) ).

cnf(c_0_4965_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4965]) ).

cnf(c_0_4966_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4966]) ).

cnf(c_0_4966_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4966]) ).

cnf(c_0_4967_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4967]) ).

cnf(c_0_4967_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4967]) ).

cnf(c_0_4968_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4968]) ).

cnf(c_0_4968_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4968]) ).

cnf(c_0_4969_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4969]) ).

cnf(c_0_4969_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4969]) ).

cnf(c_0_4970_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4970]) ).

cnf(c_0_4970_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4970]) ).

cnf(c_0_4971_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat)))
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4971]) ).

cnf(c_0_4971_1,axiom,
    ( X1 != zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_4971]) ).

cnf(c_0_4972_0,axiom,
    ( X1 != top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4972]) ).

cnf(c_0_4972_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool))
    | X1 != top_top_fun_nat_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4972]) ).

cnf(c_0_4973_0,axiom,
    ( X1 = zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_4973]) ).

cnf(c_0_4973_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4973]) ).

cnf(c_0_4978_0,axiom,
    ( X1 != zero_zero_nat
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4978]) ).

cnf(c_0_4978_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_4978]) ).

cnf(c_0_4979_0,axiom,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4979]) ).

cnf(c_0_4979_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
    | X1 = top_top_fun_nat_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4979]) ).

cnf(c_0_4980_0,axiom,
    ( X1 = top_top_fun_nat_bool
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4980]) ).

cnf(c_0_4980_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
    | X1 = top_top_fun_nat_bool ),
    inference(literals_permutation,[status(thm)],[c_0_4980]) ).

cnf(c_0_4989_0,axiom,
    ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_1,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_2,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_3,axiom,
    ( ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | ~ is_Arr723427730le_alt(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_4,axiom,
    ( ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_5,axiom,
    ( X3 != X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4989_6,axiom,
    ( X4 != X2
    | X3 != X1
    | ~ is_Arr723427730le_alt(X4)
    | ~ is_Arr723427730le_alt(X3)
    | ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4989]) ).

cnf(c_0_4990_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4990]) ).

cnf(c_0_4990_1,axiom,
    ( hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_4990]) ).

cnf(c_0_4990_2,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),top_top_fun_nat_bool))
    | hAPP_nat_nat(X3,X1) != hAPP_nat_nat(X3,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4990]) ).

cnf(c_0_4991_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4991]) ).

cnf(c_0_4991_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | X2 = X3
    | hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4991]) ).

cnf(c_0_4991_2,axiom,
    ( hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4991]) ).

cnf(c_0_4992_0,axiom,
    ( hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | ~ is_Arr859726945e_indi(X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4992]) ).

cnf(c_0_4992_1,axiom,
    ( ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | ~ is_Arr859726945e_indi(X2)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4992]) ).

cnf(c_0_4992_2,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4992]) ).

cnf(c_0_4992_3,axiom,
    ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4992]) ).

cnf(c_0_4992_4,axiom,
    ( X2 != X1
    | ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_Arr859726945e_indi(X1)
    | hAPP_A1895296483di_nat(X3,X2) = hAPP_A1895296483di_nat(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4992]) ).

cnf(c_0_4993_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
    | is_fun20916972t_bool(sk1_esk51_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4993]) ).

cnf(c_0_4993_1,axiom,
    ( is_fun20916972t_bool(sk1_esk51_2(X2,X1))
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4993]) ).

cnf(c_0_4994_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
    | is_Arr859726945e_indi(sk1_esk49_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4994]) ).

cnf(c_0_4994_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk49_2(X2,X1))
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4994]) ).

cnf(c_0_4995_0,axiom,
    ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
    | is_bool(sk1_esk47_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4995]) ).

cnf(c_0_4995_1,axiom,
    ( is_bool(sk1_esk47_2(X2,X1))
    | hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_4995]) ).

cnf(c_0_5000_0,axiom,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5000]) ).

cnf(c_0_5000_1,axiom,
    ( X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5000]) ).

cnf(c_0_5000_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5000]) ).

cnf(c_0_5001_0,axiom,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5001]) ).

cnf(c_0_5001_1,axiom,
    ( X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5001]) ).

cnf(c_0_5001_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5001]) ).

cnf(c_0_5002_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5002]) ).

cnf(c_0_5002_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5002]) ).

cnf(c_0_5002_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5002]) ).

cnf(c_0_5002_3,axiom,
    ( X2 != X1
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5002]) ).

cnf(c_0_5003_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5003]) ).

cnf(c_0_5003_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5003]) ).

cnf(c_0_5003_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5003]) ).

cnf(c_0_5003_3,axiom,
    ( X2 != X1
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5003]) ).

cnf(c_0_5004_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X1)
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5004]) ).

cnf(c_0_5004_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | ~ is_fun2015243113i_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5004]) ).

cnf(c_0_5004_2,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5004]) ).

cnf(c_0_5004_3,axiom,
    ( X2 != X1
    | ~ is_fun2015243113i_bool(X2)
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5004]) ).

cnf(c_0_5005_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X1)
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5005]) ).

cnf(c_0_5005_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | ~ is_fun1568535512t_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5005]) ).

cnf(c_0_5005_2,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5005]) ).

cnf(c_0_5005_3,axiom,
    ( X2 != X1
    | ~ is_fun1568535512t_bool(X2)
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5005]) ).

cnf(c_0_5006_0,axiom,
    ( hAPP_nat_nat(X1,X2) = hAPP_nat_nat(X1,X3)
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5006]) ).

cnf(c_0_5006_1,axiom,
    ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X2) = hAPP_nat_nat(X1,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5006]) ).

cnf(c_0_5006_2,axiom,
    ( X2 != X3
    | ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,X2) = hAPP_nat_nat(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5006]) ).

cnf(c_0_5017_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 != hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5017]) ).

cnf(c_0_5017_1,axiom,
    ( X1 != hAPP_nat_nat(suc,X2)
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5017]) ).

cnf(c_0_5018_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5018]) ).

cnf(c_0_5018_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5018]) ).

cnf(c_0_5018_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5018]) ).

cnf(c_0_5019_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5019]) ).

cnf(c_0_5019_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5019]) ).

cnf(c_0_5019_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5019]) ).

cnf(c_0_5020_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5020]) ).

cnf(c_0_5020_1,axiom,
    ( ~ hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5020]) ).

cnf(c_0_5020_2,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5020]) ).

cnf(c_0_5021_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5021]) ).

cnf(c_0_5021_1,axiom,
    ( ~ hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5021]) ).

cnf(c_0_5021_2,axiom,
    ( ~ hBOOL(X2)
    | ~ hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5021]) ).

cnf(c_0_5022_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5022]) ).

cnf(c_0_5022_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5022]) ).

cnf(c_0_5022_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5022]) ).

cnf(c_0_5023_0,axiom,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5023]) ).

cnf(c_0_5023_1,axiom,
    ( X1 = zero_zero_nat
    | X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5023]) ).

cnf(c_0_5023_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | X1 = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5023]) ).

cnf(c_0_5024_0,axiom,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5024]) ).

cnf(c_0_5024_1,axiom,
    ( X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5024]) ).

cnf(c_0_5024_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5024]) ).

cnf(c_0_5025_0,axiom,
    ( X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5025]) ).

cnf(c_0_5025_1,axiom,
    ( X1 = zero_zero_nat
    | X1 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5025]) ).

cnf(c_0_5025_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | X1 = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5025]) ).

cnf(c_0_5026_0,axiom,
    ( X2 = zero_zero_nat
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5026]) ).

cnf(c_0_5026_1,axiom,
    ( X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5026]) ).

cnf(c_0_5026_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5026]) ).

cnf(c_0_5027_0,axiom,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X1),X2) = X2
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5027]) ).

cnf(c_0_5027_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5027]) ).

cnf(c_0_5028_0,axiom,
    ( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5028]) ).

cnf(c_0_5028_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5028]) ).

cnf(c_0_5029_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | sk1_esk73_2(X1,X2) != sk1_esk72_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5029]) ).

cnf(c_0_5029_1,axiom,
    ( sk1_esk73_2(X1,X2) != sk1_esk72_2(X1,X2)
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5029]) ).

cnf(c_0_5030_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | sk1_esk71_2(X1,X2) != sk1_esk70_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5030]) ).

cnf(c_0_5030_1,axiom,
    ( sk1_esk71_2(X1,X2) != sk1_esk70_2(X1,X2)
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5030]) ).

cnf(c_0_5031_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | sk1_esk32_2(X1,X2) != sk1_esk31_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5031]) ).

cnf(c_0_5031_1,axiom,
    ( sk1_esk32_2(X1,X2) != sk1_esk31_2(X1,X2)
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5031]) ).

cnf(c_0_5032_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
    | sk1_esk30_2(X1,X2) != sk1_esk29_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5032]) ).

cnf(c_0_5032_1,axiom,
    ( sk1_esk30_2(X1,X2) != sk1_esk29_2(X1,X2)
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5032]) ).

cnf(c_0_5033_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5033]) ).

cnf(c_0_5033_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5033]) ).

cnf(c_0_5033_2,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5033]) ).

cnf(c_0_5034_0,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5034]) ).

cnf(c_0_5034_1,axiom,
    ( hBOOL(X2)
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5034]) ).

cnf(c_0_5034_2,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5034]) ).

cnf(c_0_5035_0,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5035]) ).

cnf(c_0_5035_1,axiom,
    ( hBOOL(X2)
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5035]) ).

cnf(c_0_5035_2,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5035]) ).

cnf(c_0_5036_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5036]) ).

cnf(c_0_5036_1,axiom,
    ( hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5036]) ).

cnf(c_0_5036_2,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5036]) ).

cnf(c_0_5037_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5037]) ).

cnf(c_0_5037_1,axiom,
    ( hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5037]) ).

cnf(c_0_5037_2,axiom,
    ( ~ hBOOL(X1)
    | hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5037]) ).

cnf(c_0_5038_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | hBOOL(X1)
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5038]) ).

cnf(c_0_5038_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5038]) ).

cnf(c_0_5038_2,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5038]) ).

cnf(c_0_5039_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(top_top_bool)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5039]) ).

cnf(c_0_5039_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5039]) ).

cnf(c_0_5039_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5039]) ).

cnf(c_0_5040_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
    | X1 = top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5040]) ).

cnf(c_0_5040_1,axiom,
    ( X1 = top_to1257323279t_bool
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5040]) ).

cnf(c_0_5040_2,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | X1 = top_to1257323279t_bool
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5040]) ).

cnf(c_0_5041_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
    | X1 = top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5041]) ).

cnf(c_0_5041_1,axiom,
    ( X1 = top_to207207712i_bool
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5041]) ).

cnf(c_0_5041_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | X1 = top_to207207712i_bool
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5041]) ).

cnf(c_0_5042_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
    | X1 = top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5042]) ).

cnf(c_0_5042_1,axiom,
    ( X1 = top_to1773227171t_bool
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5042]) ).

cnf(c_0_5042_2,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | X1 = top_to1773227171t_bool
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5042]) ).

cnf(c_0_5043_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
    | X1 = top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5043]) ).

cnf(c_0_5043_1,axiom,
    ( X1 = top_to1849101472l_bool
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5043]) ).

cnf(c_0_5043_2,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | X1 = top_to1849101472l_bool
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5043]) ).

cnf(c_0_5044_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
    | X1 = top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5044]) ).

cnf(c_0_5044_1,axiom,
    ( X1 = top_to935749874l_bool
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5044]) ).

cnf(c_0_5044_2,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | X1 = top_to935749874l_bool
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5044]) ).

cnf(c_0_5045_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
    | X1 = top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5045]) ).

cnf(c_0_5045_1,axiom,
    ( X1 = top_to846262053l_bool
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5045]) ).

cnf(c_0_5045_2,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | X1 = top_to846262053l_bool
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5045]) ).

cnf(c_0_5046_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | hAPP_A1895296483di_nat(X1,sk1_esk42_1(X1)) = hAPP_A1895296483di_nat(X1,sk1_esk41_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5046]) ).

cnf(c_0_5046_1,axiom,
    ( hAPP_A1895296483di_nat(X1,sk1_esk42_1(X1)) = hAPP_A1895296483di_nat(X1,sk1_esk41_1(X1))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5046]) ).

cnf(c_0_5047_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | hAPP_nat_nat(X1,sk1_esk40_1(X1)) = hAPP_nat_nat(X1,sk1_esk39_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5047]) ).

cnf(c_0_5047_1,axiom,
    ( hAPP_nat_nat(X1,sk1_esk40_1(X1)) = hAPP_nat_nat(X1,sk1_esk39_1(X1))
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5047]) ).

cnf(c_0_5048_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5048]) ).

cnf(c_0_5048_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5048]) ).

cnf(c_0_5049_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5049]) ).

cnf(c_0_5049_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5049]) ).

cnf(c_0_5050_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5050]) ).

cnf(c_0_5050_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5050]) ).

cnf(c_0_5051_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5051]) ).

cnf(c_0_5051_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5051]) ).

cnf(c_0_5052_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5052]) ).

cnf(c_0_5052_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5052]) ).

cnf(c_0_5053_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5053]) ).

cnf(c_0_5053_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5053]) ).

cnf(c_0_5054_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5054]) ).

cnf(c_0_5054_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5054]) ).

cnf(c_0_5055_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5055]) ).

cnf(c_0_5055_1,axiom,
    ( X2 != X1
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5055]) ).

cnf(c_0_5056_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5056]) ).

cnf(c_0_5056_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5056]) ).

cnf(c_0_5057_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5057]) ).

cnf(c_0_5057_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5057]) ).

cnf(c_0_5058_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5058]) ).

cnf(c_0_5058_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5058]) ).

cnf(c_0_5059_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5059]) ).

cnf(c_0_5059_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5059]) ).

cnf(c_0_5060_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5060]) ).

cnf(c_0_5060_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5060]) ).

cnf(c_0_5061_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5061]) ).

cnf(c_0_5061_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5061]) ).

cnf(c_0_5062_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5062]) ).

cnf(c_0_5062_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5062]) ).

cnf(c_0_5063_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5063]) ).

cnf(c_0_5063_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5063]) ).

cnf(c_0_5064_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5064]) ).

cnf(c_0_5064_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5064]) ).

cnf(c_0_5065_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5065]) ).

cnf(c_0_5065_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5065]) ).

cnf(c_0_5066_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5066]) ).

cnf(c_0_5066_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5066]) ).

cnf(c_0_5067_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | ~ is_fun2015243113i_bool(X1)
    | X1 != top_to207207712i_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5067]) ).

cnf(c_0_5067_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
    | X1 != top_to207207712i_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5067]) ).

cnf(c_0_5067_2,axiom,
    ( X1 != top_to207207712i_bool
    | ~ is_fun2015243113i_bool(X1)
    | hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5067]) ).

cnf(c_0_5068_0,axiom,
    ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | ~ is_fun1568535512t_bool(X1)
    | X1 != top_to1257323279t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5068]) ).

cnf(c_0_5068_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
    | X1 != top_to1257323279t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5068]) ).

cnf(c_0_5068_2,axiom,
    ( X1 != top_to1257323279t_bool
    | ~ is_fun1568535512t_bool(X1)
    | hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5068]) ).

cnf(c_0_5069_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | ~ is_fun20916972t_bool(X1)
    | X1 != top_to1773227171t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5069]) ).

cnf(c_0_5069_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
    | X1 != top_to1773227171t_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5069]) ).

cnf(c_0_5069_2,axiom,
    ( X1 != top_to1773227171t_bool
    | ~ is_fun20916972t_bool(X1)
    | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5069]) ).

cnf(c_0_5070_0,axiom,
    ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | ~ is_fun701126715l_bool(X1)
    | X1 != top_to935749874l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5070]) ).

cnf(c_0_5070_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
    | X1 != top_to935749874l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5070]) ).

cnf(c_0_5070_2,axiom,
    ( X1 != top_to935749874l_bool
    | ~ is_fun701126715l_bool(X1)
    | hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5070]) ).

cnf(c_0_5071_0,axiom,
    ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | ~ is_fun292781289l_bool(X1)
    | X1 != top_to1849101472l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5071]) ).

cnf(c_0_5071_1,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
    | X1 != top_to1849101472l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5071]) ).

cnf(c_0_5071_2,axiom,
    ( X1 != top_to1849101472l_bool
    | ~ is_fun292781289l_bool(X1)
    | hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5071]) ).

cnf(c_0_5072_0,axiom,
    ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | ~ is_fun1420103068l_bool(X1)
    | X1 != top_to846262053l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5072]) ).

cnf(c_0_5072_1,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
    | X1 != top_to846262053l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5072]) ).

cnf(c_0_5072_2,axiom,
    ( X1 != top_to846262053l_bool
    | ~ is_fun1420103068l_bool(X1)
    | hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5072]) ).

cnf(c_0_5073_0,axiom,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5073]) ).

cnf(c_0_5073_1,axiom,
    ( X1 = zero_zero_nat
    | X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5073]) ).

cnf(c_0_5073_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | X2 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5073]) ).

cnf(c_0_5074_0,axiom,
    ( X2 = zero_zero_nat
    | X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5074]) ).

cnf(c_0_5074_1,axiom,
    ( X1 = zero_zero_nat
    | X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5074]) ).

cnf(c_0_5074_2,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 = zero_zero_nat
    | X2 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5074]) ).

cnf(c_0_5075_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(top_top_bool)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5075]) ).

cnf(c_0_5075_1,axiom,
    ( hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5075]) ).

cnf(c_0_5075_2,axiom,
    ( hBOOL(X1)
    | hBOOL(top_top_bool)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5075]) ).

cnf(c_0_5076_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5076]) ).

cnf(c_0_5076_1,axiom,
    ( X1 != X3
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5076]) ).

cnf(c_0_5077_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5077]) ).

cnf(c_0_5077_1,axiom,
    ( X2 != X3
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5077]) ).

cnf(c_0_5078_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5078]) ).

cnf(c_0_5078_1,axiom,
    ( X2 != X3
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5078]) ).

cnf(c_0_5079_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5079]) ).

cnf(c_0_5079_1,axiom,
    ( X1 != X3
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5079]) ).

cnf(c_0_5088_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5088]) ).

cnf(c_0_5088_1,axiom,
    ( X1 != zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_5088]) ).

cnf(c_0_5089_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool))
    | X1 = top_top_fun_nat_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5089]) ).

cnf(c_0_5089_1,axiom,
    ( X1 = top_top_fun_nat_bool
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5089]) ).

cnf(c_0_5091_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(sk1_esk72_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5091]) ).

cnf(c_0_5091_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk72_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5091]) ).

cnf(c_0_5092_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(sk1_esk73_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5092]) ).

cnf(c_0_5092_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk73_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5092]) ).

cnf(c_0_5100_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(sk1_esk31_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5100]) ).

cnf(c_0_5100_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk31_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5100]) ).

cnf(c_0_5101_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
    | is_Arr859726945e_indi(sk1_esk32_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5101]) ).

cnf(c_0_5101_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk32_2(X1,X2))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5101]) ).

cnf(c_0_5126_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
    | X1 != top_top_fun_nat_bool ),
    inference(literals_permutation,[status(thm)],[c_0_5126]) ).

cnf(c_0_5126_1,axiom,
    ( X1 != top_top_fun_nat_bool
    | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5126]) ).

cnf(c_0_5127_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5127]) ).

cnf(c_0_5127_1,axiom,
    ( X1 = zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5127]) ).

cnf(c_0_5128_0,axiom,
    ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5128]) ).

cnf(c_0_5128_1,axiom,
    ( X1 = zero_zero_nat
    | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5128]) ).

cnf(c_0_5131_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5131]) ).

cnf(c_0_5131_1,axiom,
    ( X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5131]) ).

cnf(c_0_5131_2,axiom,
    ( X1 != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5131]) ).

cnf(c_0_5132_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5132]) ).

cnf(c_0_5132_1,axiom,
    ( X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5132]) ).

cnf(c_0_5132_2,axiom,
    ( X1 != zero_zero_nat
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5132]) ).

cnf(c_0_5133_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5133]) ).

cnf(c_0_5133_1,axiom,
    ( X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5133]) ).

cnf(c_0_5133_2,axiom,
    ( X1 != hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5133]) ).

cnf(c_0_5134_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5134]) ).

cnf(c_0_5134_1,axiom,
    ( X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5134]) ).

cnf(c_0_5134_2,axiom,
    ( X1 != zero_zero_nat
    | X2 != hAPP_nat_nat(suc,zero_zero_nat)
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_5134]) ).

cnf(c_0_5141_0,axiom,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5141]) ).

cnf(c_0_5141_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != X2
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5141]) ).

cnf(c_0_5142_0,axiom,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5142]) ).

cnf(c_0_5142_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5142]) ).

cnf(c_0_5143_0,axiom,
    ( X2 = zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5143]) ).

cnf(c_0_5143_1,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat
    | X2 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5143]) ).

cnf(c_0_5144_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | sk1_esk42_1(X1) != sk1_esk41_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5144]) ).

cnf(c_0_5144_1,axiom,
    ( sk1_esk42_1(X1) != sk1_esk41_1(X1)
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5144]) ).

cnf(c_0_5145_0,axiom,
    ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
    | sk1_esk40_1(X1) != sk1_esk39_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5145]) ).

cnf(c_0_5145_1,axiom,
    ( sk1_esk40_1(X1) != sk1_esk39_1(X1)
    | hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5145]) ).

cnf(c_0_5146_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(sk1_esk41_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5146]) ).

cnf(c_0_5146_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk41_1(X1))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5146]) ).

cnf(c_0_5147_0,axiom,
    ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
    | is_Arr859726945e_indi(sk1_esk42_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5147]) ).

cnf(c_0_5147_1,axiom,
    ( is_Arr859726945e_indi(sk1_esk42_1(X1))
    | hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_5147]) ).

cnf(c_0_5150_0,axiom,
    ( X2 = X1
    | is_fun20916972t_bool(sk1_esk25_2(X2,X1))
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5150]) ).

cnf(c_0_5150_1,axiom,
    ( is_fun20916972t_bool(sk1_esk25_2(X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X1)
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5150]) ).

cnf(c_0_5150_2,axiom,
    ( ~ is_Arr723427730le_alt(X1)
    | is_fun20916972t_bool(sk1_esk25_2(X2,X1))
    | X2 = X1
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5150]) ).

cnf(c_0_5150_3,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | ~ is_Arr723427730le_alt(X1)
    | is_fun20916972t_bool(sk1_esk25_2(X2,X1))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5150]) ).

cnf(c_0_5151_0,axiom,
    ( X1 = X2
    | is_Arr723427730le_alt(sk1_esk20_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5151]) ).

cnf(c_0_5151_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk20_2(X2,X1))
    | X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5151]) ).

cnf(c_0_5151_2,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_Arr723427730le_alt(sk1_esk20_2(X2,X1))
    | X1 = X2
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5151]) ).

cnf(c_0_5151_3,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | is_Arr723427730le_alt(sk1_esk20_2(X2,X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5151]) ).

cnf(c_0_5152_0,axiom,
    ( X1 = X2
    | is_Arr723427730le_alt(sk1_esk21_2(X2,X1))
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5152]) ).

cnf(c_0_5152_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk21_2(X2,X1))
    | X1 = X2
    | ~ is_fun20916972t_bool(X1)
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5152]) ).

cnf(c_0_5152_2,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_Arr723427730le_alt(sk1_esk21_2(X2,X1))
    | X1 = X2
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5152]) ).

cnf(c_0_5152_3,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | ~ is_fun20916972t_bool(X1)
    | is_Arr723427730le_alt(sk1_esk21_2(X2,X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5152]) ).

cnf(c_0_5154_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5154]) ).

cnf(c_0_5154_1,axiom,
    ( ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5154]) ).

cnf(c_0_5155_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5155]) ).

cnf(c_0_5155_1,axiom,
    ( ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5155]) ).

cnf(c_0_5156_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5156]) ).

cnf(c_0_5156_1,axiom,
    ( ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5156]) ).

cnf(c_0_5157_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5157]) ).

cnf(c_0_5157_1,axiom,
    ( ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5157]) ).

cnf(c_0_5158_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5158]) ).

cnf(c_0_5158_1,axiom,
    ( ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5158]) ).

cnf(c_0_5159_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5159]) ).

cnf(c_0_5159_1,axiom,
    ( ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5159]) ).

cnf(c_0_5160_0,axiom,
    ( hBOOL(top_top_bool)
    | ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5160]) ).

cnf(c_0_5160_1,axiom,
    ( ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1))
    | hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5160]) ).

cnf(c_0_5161_0,axiom,
    ( hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5161]) ).

cnf(c_0_5161_1,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5161]) ).

cnf(c_0_5162_0,axiom,
    ( hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1),X2) = X1
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5162]) ).

cnf(c_0_5162_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5162]) ).

cnf(c_0_5163_0,axiom,
    ( hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5163]) ).

cnf(c_0_5163_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5163]) ).

cnf(c_0_5164_0,axiom,
    ( hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1),X2) = X1
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5164]) ).

cnf(c_0_5164_1,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5164]) ).

cnf(c_0_5165_0,axiom,
    ( hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1),X2) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5165]) ).

cnf(c_0_5165_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5165]) ).

cnf(c_0_5166_0,axiom,
    ( hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5166]) ).

cnf(c_0_5166_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5166]) ).

cnf(c_0_5167_0,axiom,
    ( hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5167]) ).

cnf(c_0_5167_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5167]) ).

cnf(c_0_5168_0,axiom,
    ( hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1),X2) = X1
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5168]) ).

cnf(c_0_5168_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5168]) ).

cnf(c_0_5169_0,axiom,
    ( hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5169]) ).

cnf(c_0_5169_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5169]) ).

cnf(c_0_5170_0,axiom,
    ( hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5170]) ).

cnf(c_0_5170_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5170]) ).

cnf(c_0_5171_0,axiom,
    ( hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5171]) ).

cnf(c_0_5171_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5171]) ).

cnf(c_0_5172_0,axiom,
    ( hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5172]) ).

cnf(c_0_5172_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5172]) ).

cnf(c_0_5173_0,axiom,
    ( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5173]) ).

cnf(c_0_5173_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5173]) ).

cnf(c_0_5174_0,axiom,
    ( is_bool(hAPP_A416869060i_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2)
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5174]) ).

cnf(c_0_5174_1,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | is_bool(hAPP_A416869060i_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5174]) ).

cnf(c_0_5174_2,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | ~ is_Arr859726945e_indi(X2)
    | is_bool(hAPP_A416869060i_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5174]) ).

cnf(c_0_5175_0,axiom,
    ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat
    | X2 != zero_zero_nat
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5175]) ).

cnf(c_0_5175_1,axiom,
    ( X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat
    | X1 != zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5175]) ).

cnf(c_0_5175_2,axiom,
    ( X1 != zero_zero_nat
    | X2 != zero_zero_nat
    | hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5175]) ).

cnf(c_0_5176_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5176]) ).

cnf(c_0_5176_1,axiom,
    ( hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5176]) ).

cnf(c_0_5177_0,axiom,
    ( X1 = X2
    | hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5177]) ).

cnf(c_0_5177_1,axiom,
    ( hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5177]) ).

cnf(c_0_5178_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(sk1_esk7_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5178]) ).

cnf(c_0_5178_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk7_1(X1))
    | hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5178]) ).

cnf(c_0_5179_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(X1,X2))
    | is_Arr723427730le_alt(sk1_esk8_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5179]) ).

cnf(c_0_5179_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk8_1(X1))
    | hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5179]) ).

cnf(c_0_5184_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(sk1_esk16_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5184]) ).

cnf(c_0_5184_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk16_1(X1))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5184]) ).

cnf(c_0_5185_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
    | is_Arr723427730le_alt(sk1_esk17_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5185]) ).

cnf(c_0_5185_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk17_1(X1))
    | hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5185]) ).

cnf(c_0_5186_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(sk1_esk12_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5186]) ).

cnf(c_0_5186_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk12_1(X1))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5186]) ).

cnf(c_0_5187_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
    | is_Arr723427730le_alt(sk1_esk13_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5187]) ).

cnf(c_0_5187_1,axiom,
    ( is_Arr723427730le_alt(sk1_esk13_1(X1))
    | hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5187]) ).

cnf(c_0_5188_0,axiom,
    ( is_bool(hAPP_P1813625415t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5188]) ).

cnf(c_0_5188_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_bool(hAPP_P1813625415t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5188]) ).

cnf(c_0_5189_0,axiom,
    ( is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5189]) ).

cnf(c_0_5189_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5189]) ).

cnf(c_0_5190_0,axiom,
    ( is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5190]) ).

cnf(c_0_5190_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5190]) ).

cnf(c_0_5191_0,axiom,
    ( is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5191]) ).

cnf(c_0_5191_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5191]) ).

cnf(c_0_5192_0,axiom,
    ( is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5192]) ).

cnf(c_0_5192_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5192]) ).

cnf(c_0_5193_0,axiom,
    ( is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5193]) ).

cnf(c_0_5193_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5193]) ).

cnf(c_0_5194_0,axiom,
    ( is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2))
    | ~ is_fun20916972t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5194]) ).

cnf(c_0_5194_1,axiom,
    ( ~ is_fun20916972t_bool(X2)
    | is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5194]) ).

cnf(c_0_5195_0,axiom,
    ( is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5195]) ).

cnf(c_0_5195_1,axiom,
    ( ~ is_fun1420103068l_bool(X2)
    | is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5195]) ).

cnf(c_0_5196_0,axiom,
    ( is_bool(hAPP_f560517119l_bool(X1,X2))
    | ~ is_fun1420103068l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5196]) ).

cnf(c_0_5196_1,axiom,
    ( ~ is_fun1420103068l_bool(X2)
    | is_bool(hAPP_f560517119l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5196]) ).

cnf(c_0_5197_0,axiom,
    ( is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5197]) ).

cnf(c_0_5197_1,axiom,
    ( ~ is_fun292781289l_bool(X2)
    | is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5197]) ).

cnf(c_0_5198_0,axiom,
    ( is_bool(hAPP_f322109294l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5198]) ).

cnf(c_0_5198_1,axiom,
    ( ~ is_fun292781289l_bool(X2)
    | is_bool(hAPP_f322109294l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5198]) ).

cnf(c_0_5199_0,axiom,
    ( is_bool(hAPP_f446648900l_bool(X1,X2))
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5199]) ).

cnf(c_0_5199_1,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | is_bool(hAPP_f446648900l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5199]) ).

cnf(c_0_5200_0,axiom,
    ( is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5200]) ).

cnf(c_0_5200_1,axiom,
    ( ~ is_fun701126715l_bool(X2)
    | is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5200]) ).

cnf(c_0_5201_0,axiom,
    ( is_bool(hAPP_f147218624l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5201]) ).

cnf(c_0_5201_1,axiom,
    ( ~ is_fun701126715l_bool(X2)
    | is_bool(hAPP_f147218624l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5201]) ).

cnf(c_0_5202_0,axiom,
    ( is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5202]) ).

cnf(c_0_5202_1,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5202]) ).

cnf(c_0_5203_0,axiom,
    ( is_bool(hAPP_f2028818269l_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5203]) ).

cnf(c_0_5203_1,axiom,
    ( ~ is_fun1568535512t_bool(X2)
    | is_bool(hAPP_f2028818269l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5203]) ).

cnf(c_0_5204_0,axiom,
    ( is_bool(hAPP_f1378099862l_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5204]) ).

cnf(c_0_5204_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | is_bool(hAPP_f1378099862l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5204]) ).

cnf(c_0_5205_0,axiom,
    ( is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5205]) ).

cnf(c_0_5205_1,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5205]) ).

cnf(c_0_5206_0,axiom,
    ( is_bool(hAPP_f160177134l_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5206]) ).

cnf(c_0_5206_1,axiom,
    ( ~ is_fun2015243113i_bool(X2)
    | is_bool(hAPP_f160177134l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5206]) ).

cnf(c_0_5207_0,axiom,
    ( is_bool(hAPP_P1676879539t_bool(X1,X2))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5207]) ).

cnf(c_0_5207_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | is_bool(hAPP_P1676879539t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5207]) ).

cnf(c_0_5208_0,axiom,
    ( is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2))
    | ~ is_fun1084921220e_indi(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5208]) ).

cnf(c_0_5208_1,axiom,
    ( ~ is_fun1084921220e_indi(X1)
    | is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5208]) ).

cnf(c_0_5209_0,axiom,
    ( is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5209]) ).

cnf(c_0_5209_1,axiom,
    ( ~ is_bool(X2)
    | is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5209]) ).

cnf(c_0_5210_0,axiom,
    ( is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5210]) ).

cnf(c_0_5210_1,axiom,
    ( ~ is_bool(X2)
    | is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5210]) ).

cnf(c_0_5211_0,axiom,
    ( is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5211]) ).

cnf(c_0_5211_1,axiom,
    ( ~ is_bool(X2)
    | is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5211]) ).

cnf(c_0_5212_0,axiom,
    ( is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5212]) ).

cnf(c_0_5212_1,axiom,
    ( ~ is_bool(X2)
    | is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5212]) ).

cnf(c_0_5213_0,axiom,
    ( is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5213]) ).

cnf(c_0_5213_1,axiom,
    ( ~ is_bool(X2)
    | is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5213]) ).

cnf(c_0_5214_0,axiom,
    ( is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5214]) ).

cnf(c_0_5214_1,axiom,
    ( ~ is_bool(X2)
    | is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5214]) ).

cnf(c_0_5215_0,axiom,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5215]) ).

cnf(c_0_5215_1,axiom,
    ( ~ is_bool(X2)
    | is_bool(hAPP_bool_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5215]) ).

cnf(c_0_5216_0,axiom,
    ( is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5216]) ).

cnf(c_0_5216_1,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5216]) ).

cnf(c_0_5217_0,axiom,
    ( is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5217]) ).

cnf(c_0_5217_1,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5217]) ).

cnf(c_0_5218_0,axiom,
    ( is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5218]) ).

cnf(c_0_5218_1,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5218]) ).

cnf(c_0_5219_0,axiom,
    ( is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2))
    | ~ is_Arr859726945e_indi(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5219]) ).

cnf(c_0_5219_1,axiom,
    ( ~ is_Arr859726945e_indi(X2)
    | is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5219]) ).

cnf(c_0_5220_0,axiom,
    ( is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5220]) ).

cnf(c_0_5220_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5220]) ).

cnf(c_0_5221_0,axiom,
    ( is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5221]) ).

cnf(c_0_5221_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5221]) ).

cnf(c_0_5222_0,axiom,
    ( is_bool(hAPP_A1120018583t_bool(X1,X2))
    | ~ is_Arr723427730le_alt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5222]) ).

cnf(c_0_5222_1,axiom,
    ( ~ is_Arr723427730le_alt(X2)
    | is_bool(hAPP_A1120018583t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5222]) ).

cnf(c_0_5223_0,axiom,
    ( is_fun1084921220e_indi(hilber951314860di_nat(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5223]) ).

cnf(c_0_5223_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | is_fun1084921220e_indi(hilber951314860di_nat(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5223]) ).

cnf(c_0_5224_0,axiom,
    ( is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5224]) ).

cnf(c_0_5224_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5224]) ).

cnf(c_0_5225_0,axiom,
    ( is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2))
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5225]) ).

cnf(c_0_5225_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5225]) ).

cnf(c_0_5226_0,axiom,
    ( is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5226]) ).

cnf(c_0_5226_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5226]) ).

cnf(c_0_5237_0,axiom,
    ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5237]) ).

cnf(c_0_5237_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5237]) ).

cnf(c_0_5238_0,axiom,
    ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5238]) ).

cnf(c_0_5238_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5238]) ).

cnf(c_0_5239_0,axiom,
    ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5239]) ).

cnf(c_0_5239_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5239]) ).

cnf(c_0_5240_0,axiom,
    ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5240]) ).

cnf(c_0_5240_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5240]) ).

cnf(c_0_5241_0,axiom,
    ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5241]) ).

cnf(c_0_5241_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5241]) ).

cnf(c_0_5242_0,axiom,
    ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5242]) ).

cnf(c_0_5242_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5242]) ).

cnf(c_0_5243_0,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1))
    | ~ hBOOL(top_top_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_5243]) ).

cnf(c_0_5243_1,axiom,
    ( ~ hBOOL(top_top_bool)
    | hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5243]) ).

cnf(c_0_5296_0,axiom,
    ( hAPP_nat_nat(suc,X1) = hAPP_nat_nat(suc,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5296]) ).

cnf(c_0_5296_1,axiom,
    ( X1 != X2
    | hAPP_nat_nat(suc,X1) = hAPP_nat_nat(suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5296]) ).

cnf(c_0_5316_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk95_1(X1)) = X1
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5316]) ).

cnf(c_0_5316_1,axiom,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(suc,sk1_esk95_1(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5316]) ).

cnf(c_0_5317_0,axiom,
    ( hAPP_nat_nat(suc,sk1_esk94_1(X1)) = X1
    | X1 = zero_zero_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5317]) ).

cnf(c_0_5317_1,axiom,
    ( X1 = zero_zero_nat
    | hAPP_nat_nat(suc,sk1_esk94_1(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5317]) ).

cnf(c_0_5324_0,axiom,
    ( is_fun20916972t_bool(collec1376511890le_alt(X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5324]) ).

cnf(c_0_5324_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_fun20916972t_bool(collec1376511890le_alt(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5324]) ).

cnf(c_0_5325_0,axiom,
    ( is_fun1420103068l_bool(collec612883262t_bool(X1))
    | ~ is_fun1420103068l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5325]) ).

cnf(c_0_5325_1,axiom,
    ( ~ is_fun1420103068l_bool(X1)
    | is_fun1420103068l_bool(collec612883262t_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5325]) ).

cnf(c_0_5326_0,axiom,
    ( is_fun292781289l_bool(collec1517527055t_bool(X1))
    | ~ is_fun292781289l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5326]) ).

cnf(c_0_5326_1,axiom,
    ( ~ is_fun292781289l_bool(X1)
    | is_fun292781289l_bool(collec1517527055t_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5326]) ).

cnf(c_0_5327_0,axiom,
    ( is_fun701126715l_bool(collec1567922785t_bool(X1))
    | ~ is_fun701126715l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5327]) ).

cnf(c_0_5327_1,axiom,
    ( ~ is_fun701126715l_bool(X1)
    | is_fun701126715l_bool(collec1567922785t_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5327]) ).

cnf(c_0_5328_0,axiom,
    ( is_fun1568535512t_bool(collect_Product_unit(X1))
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5328]) ).

cnf(c_0_5328_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | is_fun1568535512t_bool(collect_Product_unit(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5328]) ).

cnf(c_0_5329_0,axiom,
    ( is_fun2015243113i_bool(collec279390863e_indi(X1))
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5329]) ).

cnf(c_0_5329_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | is_fun2015243113i_bool(collec279390863e_indi(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5329]) ).

cnf(c_0_5330_0,axiom,
    ( is_fun1420103068l_bool(inj_on398823523t_bool(X1))
    | ~ is_fun20916972t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5330]) ).

cnf(c_0_5330_1,axiom,
    ( ~ is_fun20916972t_bool(X1)
    | is_fun1420103068l_bool(inj_on398823523t_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_5330]) ).

cnf(c_0_5332_0,axiom,
    ( collec279390863e_indi(X1) = X1
    | ~ is_fun2015243113i_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5332]) ).

cnf(c_0_5332_1,axiom,
    ( ~ is_fun2015243113i_bool(X1)
    | collec279390863e_indi(X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5332]) ).

cnf(c_0_5333_0,axiom,
    ( collect_Product_unit(X1) = X1
    | ~ is_fun1568535512t_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5333]) ).

cnf(c_0_5333_1,axiom,
    ( ~ is_fun1568535512t_bool(X1)
    | collect_Product_unit(X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5333]) ).

cnf(c_0_5335_0,axiom,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5335]) ).

cnf(c_0_5335_1,axiom,
    ( X1 = fTrue
    | X1 = fFalse
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5335]) ).

cnf(c_0_5335_2,axiom,
    ( ~ is_bool(X1)
    | X1 = fTrue
    | X1 = fFalse ),
    inference(literals_permutation,[status(thm)],[c_0_5335]) ).

cnf(c_0_5336_0,axiom,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5336]) ).

cnf(c_0_5336_1,axiom,
    ( X1 = fTrue
    | X1 = fFalse
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5336]) ).

cnf(c_0_5336_2,axiom,
    ( ~ is_bool(X1)
    | X1 = fTrue
    | X1 = fFalse ),
    inference(literals_permutation,[status(thm)],[c_0_5336]) ).

cnf(c_0_5341_0,axiom,
    ( X1 = one_one_nat
    | one_one_nat != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5341_1,axiom,
    ( one_one_nat != X1
    | X1 = one_one_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5342_0,axiom,
    ( one_one_nat = X1
    | X1 != one_one_nat ),
    inference(literals_permutation,[status(thm)],[c_0_5342]) ).

cnf(c_0_5342_1,axiom,
    ( X1 != one_one_nat
    | one_one_nat = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5342]) ).

cnf(c_0_4314_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X2)),
    inference(literals_permutation,[status(thm)],[c_0_4314]) ).

cnf(c_0_4315_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4315]) ).

cnf(c_0_4362_0,axiom,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
    inference(literals_permutation,[status(thm)],[c_0_4362]) ).

cnf(c_0_4363_0,axiom,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
    inference(literals_permutation,[status(thm)],[c_0_4363]) ).

cnf(c_0_4562_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4562]) ).

cnf(c_0_4944_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4944]) ).

cnf(c_0_4945_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4945]) ).

cnf(c_0_4946_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4946]) ).

cnf(c_0_4947_0,axiom,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4947]) ).

cnf(c_0_4948_0,axiom,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4948]) ).

cnf(c_0_4949_0,axiom,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4949]) ).

cnf(c_0_4975_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(literals_permutation,[status(thm)],[c_0_4975]) ).

cnf(c_0_4976_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(literals_permutation,[status(thm)],[c_0_4976]) ).

cnf(c_0_4977_0,axiom,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
    inference(literals_permutation,[status(thm)],[c_0_4977]) ).

cnf(c_0_4981_0,axiom,
    ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4981]) ).

cnf(c_0_4982_0,axiom,
    ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4982]) ).

cnf(c_0_4983_0,axiom,
    ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4983]) ).

cnf(c_0_4984_0,axiom,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4984]) ).

cnf(c_0_4985_0,axiom,
    ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4985]) ).

cnf(c_0_4986_0,axiom,
    ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4986]) ).

cnf(c_0_4987_0,axiom,
    ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4987]) ).

cnf(c_0_4988_0,axiom,
    ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_4988]) ).

cnf(c_0_5180_0,axiom,
    ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5180]) ).

cnf(c_0_5314_0,axiom,
    hAPP_nat_nat(suc,X1) != X1,
    inference(literals_permutation,[status(thm)],[c_0_5314]) ).

cnf(c_0_5315_0,axiom,
    hAPP_nat_nat(suc,X1) != X1,
    inference(literals_permutation,[status(thm)],[c_0_5315]) ).

cnf(c_0_5318_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5318]) ).

cnf(c_0_5319_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5319]) ).

cnf(c_0_5320_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5320]) ).

cnf(c_0_5321_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5321]) ).

cnf(c_0_5322_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5322]) ).

cnf(c_0_5323_0,axiom,
    hAPP_nat_nat(suc,X1) != zero_zero_nat,
    inference(literals_permutation,[status(thm)],[c_0_5323]) ).

cnf(c_0_5367_0,axiom,
    b != a,
    inference(literals_permutation,[status(thm)],[c_0_5367]) ).

cnf(c_0_5368_0,axiom,
    d != c,
    inference(literals_permutation,[status(thm)],[c_0_5368]) ).

cnf(c_0_4019_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(literals_permutation,[status(thm)],[c_0_4019]) ).

cnf(c_0_4020_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(literals_permutation,[status(thm)],[c_0_4020]) ).

cnf(c_0_4021_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    inference(literals_permutation,[status(thm)],[c_0_4021]) ).

cnf(c_0_4022_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
    inference(literals_permutation,[status(thm)],[c_0_4022]) ).

cnf(c_0_4023_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,sk1_esk27_0),one_one_nat)))),lab)),lba)))),
    inference(literals_permutation,[status(thm)],[c_0_4023]) ).

cnf(c_0_4024_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,sk1_esk26_0),one_one_nat)))),lab)),lba)))),
    inference(literals_permutation,[status(thm)],[c_0_4024]) ).

cnf(c_0_4025_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
    inference(literals_permutation,[status(thm)],[c_0_4025]) ).

cnf(c_0_4033_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)),arrow_583275979e_Prof)),
    inference(literals_permutation,[status(thm)],[c_0_4033]) ).

cnf(c_0_4213_0,axiom,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X1),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))),
    inference(literals_permutation,[status(thm)],[c_0_4213]) ).

cnf(c_0_4299_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
    inference(literals_permutation,[status(thm)],[c_0_4299]) ).

cnf(c_0_4383_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))),
    inference(literals_permutation,[status(thm)],[c_0_4383]) ).

cnf(c_0_4384_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))),
    inference(literals_permutation,[status(thm)],[c_0_4384]) ).

cnf(c_0_4438_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),sk1_esk19_0)),
    inference(literals_permutation,[status(thm)],[c_0_4438]) ).

cnf(c_0_4439_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),sk1_esk18_0)),
    inference(literals_permutation,[status(thm)],[c_0_4439]) ).

cnf(c_0_4440_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
    inference(literals_permutation,[status(thm)],[c_0_4440]) ).

cnf(c_0_4441_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
    inference(literals_permutation,[status(thm)],[c_0_4441]) ).

cnf(c_0_4533_0,axiom,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X1)),X2)),
    inference(literals_permutation,[status(thm)],[c_0_4533]) ).

cnf(c_0_4536_0,axiom,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1)))),
    inference(literals_permutation,[status(thm)],[c_0_4536]) ).

cnf(c_0_4537_0,axiom,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1)))),
    inference(literals_permutation,[status(thm)],[c_0_4537]) ).

cnf(c_0_4541_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    inference(literals_permutation,[status(thm)],[c_0_4541]) ).

cnf(c_0_4542_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
    inference(literals_permutation,[status(thm)],[c_0_4542]) ).

cnf(c_0_4669_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))),
    inference(literals_permutation,[status(thm)],[c_0_4669]) ).

cnf(c_0_4670_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))),
    inference(literals_permutation,[status(thm)],[c_0_4670]) ).

cnf(c_0_4671_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),
    inference(literals_permutation,[status(thm)],[c_0_4671]) ).

cnf(c_0_4672_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat))),
    inference(literals_permutation,[status(thm)],[c_0_4672]) ).

cnf(c_0_4809_0,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
    inference(literals_permutation,[status(thm)],[c_0_4809]) ).

cnf(c_0_4816_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    inference(literals_permutation,[status(thm)],[c_0_4816]) ).

cnf(c_0_4828_0,axiom,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1))) = hAPP_nat_nat(suc,X1),
    inference(literals_permutation,[status(thm)],[c_0_4828]) ).

cnf(c_0_4849_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
    inference(literals_permutation,[status(thm)],[c_0_4849]) ).

cnf(c_0_4851_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)),
    inference(literals_permutation,[status(thm)],[c_0_4851]) ).

cnf(c_0_4852_0,axiom,
    finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1))) = X1,
    inference(literals_permutation,[status(thm)],[c_0_4852]) ).

cnf(c_0_4859_0,axiom,
    is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
    inference(literals_permutation,[status(thm)],[c_0_4859]) ).

cnf(c_0_4870_0,axiom,
    hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X1),X2),X3) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4870]) ).

cnf(c_0_4871_0,axiom,
    hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X1),X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4871]) ).

cnf(c_0_4872_0,axiom,
    hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X1),X2),X3) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4872]) ).

cnf(c_0_4873_0,axiom,
    hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X1),X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4873]) ).

cnf(c_0_4874_0,axiom,
    hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X1),X2),X3) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4874]) ).

cnf(c_0_4875_0,axiom,
    hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X1),X2),X3) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4875]) ).

cnf(c_0_4876_0,axiom,
    hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4876]) ).

cnf(c_0_4877_0,axiom,
    hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X1),X2),X3) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4877]) ).

cnf(c_0_4878_0,axiom,
    hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X1),X2),X3) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4878]) ).

cnf(c_0_4879_0,axiom,
    hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4879]) ).

cnf(c_0_4880_0,axiom,
    hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X1),X2),X3) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4880]) ).

cnf(c_0_4881_0,axiom,
    hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X1),X2),X3) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4881]) ).

cnf(c_0_4882_0,axiom,
    hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_A1948275303t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4882]) ).

cnf(c_0_4883_0,axiom,
    hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X1),X2),X3) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4883]) ).

cnf(c_0_4884_0,axiom,
    hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X1),X2),X3) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4884]) ).

cnf(c_0_4885_0,axiom,
    hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4885]) ).

cnf(c_0_4886_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X1),X2),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_4886]) ).

cnf(c_0_4941_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))),
    inference(literals_permutation,[status(thm)],[c_0_4941]) ).

cnf(c_0_4974_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
    inference(literals_permutation,[status(thm)],[c_0_4974]) ).

cnf(c_0_4996_0,axiom,
    hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)) = hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_4996]) ).

cnf(c_0_4997_0,axiom,
    hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)) = hAPP_A340536322t_bool(cOMBS_178315313t_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_4997]) ).

cnf(c_0_4998_0,axiom,
    hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X3),hAPP_nat_bool(X2,X3)) = hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_4998]) ).

cnf(c_0_4999_0,axiom,
    hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X1),X2))),
    inference(literals_permutation,[status(thm)],[c_0_4999]) ).

cnf(c_0_5007_0,axiom,
    hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X1),X2),X3) = hAPP_b910261233t_bool(X1,hAPP_A416869060i_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5007]) ).

cnf(c_0_5008_0,axiom,
    hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X1),X2),X3) = hAPP_f372913425t_bool(X1,hAPP_A643475905l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5008]) ).

cnf(c_0_5009_0,axiom,
    hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X1),X2),X3) = hAPP_f684072049t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5009]) ).

cnf(c_0_5010_0,axiom,
    hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X1),X2),X3) = hAPP_f1656652505l_bool(X1,hAPP_A1171966089le_alt(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5010]) ).

cnf(c_0_5011_0,axiom,
    hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X1),X2),X3) = hAPP_f102394819t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5011]) ).

cnf(c_0_5012_0,axiom,
    hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X1),X2),X3) = hAPP_P1151433609l_bool(X1,hAPP_A1561816353le_alt(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5012]) ).

cnf(c_0_5013_0,axiom,
    hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A1895296483di_nat(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5013]) ).

cnf(c_0_5014_0,axiom,
    hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X1),X2),X3) = hAPP_n215258509l_bool(X1,hAPP_nat_nat(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5014]) ).

cnf(c_0_5015_0,axiom,
    hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5015]) ).

cnf(c_0_5016_0,axiom,
    hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_5016]) ).

cnf(c_0_5080_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5080]) ).

cnf(c_0_5081_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5081]) ).

cnf(c_0_5082_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk27_0),finite354462354e_indi(top_to207207712i_bool))),
    inference(literals_permutation,[status(thm)],[c_0_5082]) ).

cnf(c_0_5083_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,sk1_esk26_0),finite354462354e_indi(top_to207207712i_bool))),
    inference(literals_permutation,[status(thm)],[c_0_5083]) ).

cnf(c_0_5084_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5084]) ).

cnf(c_0_5085_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5085]) ).

cnf(c_0_5086_0,axiom,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5086]) ).

cnf(c_0_5087_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
    inference(literals_permutation,[status(thm)],[c_0_5087]) ).

cnf(c_0_5090_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1),
    inference(literals_permutation,[status(thm)],[c_0_5090]) ).

cnf(c_0_5093_0,axiom,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5093]) ).

cnf(c_0_5094_0,axiom,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5094]) ).

cnf(c_0_5095_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5095]) ).

cnf(c_0_5096_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5096]) ).

cnf(c_0_5097_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5097]) ).

cnf(c_0_5098_0,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5098]) ).

cnf(c_0_5099_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5099]) ).

cnf(c_0_5102_0,axiom,
    hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5102]) ).

cnf(c_0_5103_0,axiom,
    hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5103]) ).

cnf(c_0_5104_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5104]) ).

cnf(c_0_5105_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5105]) ).

cnf(c_0_5106_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5106]) ).

cnf(c_0_5107_0,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5107]) ).

cnf(c_0_5108_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5108]) ).

cnf(c_0_5109_0,axiom,
    hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),top_top_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5109]) ).

cnf(c_0_5110_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5110]) ).

cnf(c_0_5111_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5111]) ).

cnf(c_0_5112_0,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5112]) ).

cnf(c_0_5113_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5113]) ).

cnf(c_0_5114_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5114]) ).

cnf(c_0_5115_0,axiom,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5115]) ).

cnf(c_0_5116_0,axiom,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5116]) ).

cnf(c_0_5117_0,axiom,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5117]) ).

cnf(c_0_5118_0,axiom,
    hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5118]) ).

cnf(c_0_5119_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5119]) ).

cnf(c_0_5120_0,axiom,
    hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5120]) ).

cnf(c_0_5121_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5121]) ).

cnf(c_0_5122_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5122]) ).

cnf(c_0_5123_0,axiom,
    hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5123]) ).

cnf(c_0_5124_0,axiom,
    hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5124]) ).

cnf(c_0_5125_0,axiom,
    hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5125]) ).

cnf(c_0_5129_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5129]) ).

cnf(c_0_5130_0,axiom,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5130]) ).

cnf(c_0_5135_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk63_0),arrow_912654623le_Lin)),
    inference(literals_permutation,[status(thm)],[c_0_5135]) ).

cnf(c_0_5136_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk19_0),arrow_912654623le_Lin)),
    inference(literals_permutation,[status(thm)],[c_0_5136]) ).

cnf(c_0_5137_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,sk1_esk18_0),arrow_912654623le_Lin)),
    inference(literals_permutation,[status(thm)],[c_0_5137]) ).

cnf(c_0_5138_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
    inference(literals_permutation,[status(thm)],[c_0_5138]) ).

cnf(c_0_5139_0,axiom,
    hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
    inference(literals_permutation,[status(thm)],[c_0_5139]) ).

cnf(c_0_5140_0,axiom,
    hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
    inference(literals_permutation,[status(thm)],[c_0_5140]) ).

cnf(c_0_5148_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat) = hAPP_nat_nat(suc,X1),
    inference(literals_permutation,[status(thm)],[c_0_5148]) ).

cnf(c_0_5149_0,axiom,
    hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)) = hAPP_n1699378549t_bool(ord_less_nat,X1),
    inference(literals_permutation,[status(thm)],[c_0_5149]) ).

cnf(c_0_5153_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X1) = hAPP_nat_nat(suc,X1),
    inference(literals_permutation,[status(thm)],[c_0_5153]) ).

cnf(c_0_5181_0,axiom,
    hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5181]) ).

cnf(c_0_5182_0,axiom,
    hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5182]) ).

cnf(c_0_5183_0,axiom,
    hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5183]) ).

cnf(c_0_5227_0,axiom,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5227]) ).

cnf(c_0_5228_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),zero_zero_nat) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5228]) ).

cnf(c_0_5229_0,axiom,
    hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X1)),
    inference(literals_permutation,[status(thm)],[c_0_5229]) ).

cnf(c_0_5230_0,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5230]) ).

cnf(c_0_5231_0,axiom,
    pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5231]) ).

cnf(c_0_5232_0,axiom,
    pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5232]) ).

cnf(c_0_5233_0,axiom,
    pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5233]) ).

cnf(c_0_5234_0,axiom,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(sk1_esk98_0),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5234]) ).

cnf(c_0_5235_0,axiom,
    hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5235]) ).

cnf(c_0_5236_0,axiom,
    pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)) = arrow_583275979e_Prof,
    inference(literals_permutation,[status(thm)],[c_0_5236]) ).

cnf(c_0_5244_0,axiom,
    hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) = image_837079859di_nat(sk1_esk98_0,top_to207207712i_bool),
    inference(literals_permutation,[status(thm)],[c_0_5244]) ).

cnf(c_0_5245_0,axiom,
    hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) = image_837079859di_nat(h,top_to207207712i_bool),
    inference(literals_permutation,[status(thm)],[c_0_5245]) ).

cnf(c_0_5246_0,axiom,
    is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5246]) ).

cnf(c_0_5247_0,axiom,
    is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5247]) ).

cnf(c_0_5248_0,axiom,
    is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5248]) ).

cnf(c_0_5249_0,axiom,
    is_bool(hAPP_f557371893l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5249]) ).

cnf(c_0_5250_0,axiom,
    is_bool(hAPP_f817344902l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5250]) ).

cnf(c_0_5251_0,axiom,
    is_bool(hAPP_f1363425282l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5251]) ).

cnf(c_0_5252_0,axiom,
    is_bool(hAPP_f1384787615l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5252]) ).

cnf(c_0_5253_0,axiom,
    is_bool(hAPP_f560261801l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5253]) ).

cnf(c_0_5254_0,axiom,
    is_bool(hAPP_f1021828400l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5254]) ).

cnf(c_0_5255_0,axiom,
    is_bool(hAPP_f966397426l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5255]) ).

cnf(c_0_5256_0,axiom,
    is_bool(hAPP_f750478076l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5256]) ).

cnf(c_0_5257_0,axiom,
    is_bool(hAPP_f742658307l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5257]) ).

cnf(c_0_5258_0,axiom,
    is_bool(hAPP_f1082951236l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5258]) ).

cnf(c_0_5259_0,axiom,
    is_bool(hAPP_f1138659662l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5259]) ).

cnf(c_0_5260_0,axiom,
    is_bool(hAPP_f882250837l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5260]) ).

cnf(c_0_5261_0,axiom,
    is_bool(hAPP_f1117143157l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5261]) ).

cnf(c_0_5262_0,axiom,
    is_bool(hAPP_f1965705105l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5262]) ).

cnf(c_0_5263_0,axiom,
    is_bool(hAPP_f1597773170l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5263]) ).

cnf(c_0_5264_0,axiom,
    is_bool(hAPP_f866114756l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5264]) ).

cnf(c_0_5265_0,axiom,
    is_bool(hAPP_f339859954l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5265]) ).

cnf(c_0_5266_0,axiom,
    is_bool(hAPP_f537623936l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5266]) ).

cnf(c_0_5267_0,axiom,
    is_bool(hAPP_f1426445843l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5267]) ).

cnf(c_0_5268_0,axiom,
    is_bool(hAPP_f1637334154l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5268]) ).

cnf(c_0_5269_0,axiom,
    is_bool(hAPP_f1428735377l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5269]) ).

cnf(c_0_5270_0,axiom,
    is_bool(hAPP_f2053170815l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5270]) ).

cnf(c_0_5271_0,axiom,
    is_bool(hAPP_f937100551l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5271]) ).

cnf(c_0_5272_0,axiom,
    is_bool(hAPP_f740740988l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5272]) ).

cnf(c_0_5273_0,axiom,
    is_bool(hAPP_f620747982l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5273]) ).

cnf(c_0_5274_0,axiom,
    is_bool(hAPP_f67777128l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5274]) ).

cnf(c_0_5275_0,axiom,
    is_bool(hAPP_f1291635206l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5275]) ).

cnf(c_0_5276_0,axiom,
    is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5276]) ).

cnf(c_0_5277_0,axiom,
    is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5277]) ).

cnf(c_0_5278_0,axiom,
    is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5278]) ).

cnf(c_0_5279_0,axiom,
    is_bool(hAPP_f2016919811l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5279]) ).

cnf(c_0_5280_0,axiom,
    is_bool(hAPP_f1898839893l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5280]) ).

cnf(c_0_5281_0,axiom,
    is_bool(hAPP_f599997089l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5281]) ).

cnf(c_0_5282_0,axiom,
    is_bool(hAPP_f54304608l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5282]) ).

cnf(c_0_5283_0,axiom,
    is_bool(hAPP_f387058535l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5283]) ).

cnf(c_0_5284_0,axiom,
    is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5284]) ).

cnf(c_0_5285_0,axiom,
    is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5285]) ).

cnf(c_0_5286_0,axiom,
    is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5286]) ).

cnf(c_0_5287_0,axiom,
    is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5287]) ).

cnf(c_0_5288_0,axiom,
    is_bool(hAPP_f212509069l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5288]) ).

cnf(c_0_5289_0,axiom,
    is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5289]) ).

cnf(c_0_5290_0,axiom,
    is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5290]) ).

cnf(c_0_5291_0,axiom,
    is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5291]) ).

cnf(c_0_5292_0,axiom,
    is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5292]) ).

cnf(c_0_5293_0,axiom,
    is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5293]) ).

cnf(c_0_5294_0,axiom,
    is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5294]) ).

cnf(c_0_5295_0,axiom,
    is_bool(hAPP_nat_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_5295]) ).

cnf(c_0_5297_0,axiom,
    hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5297]) ).

cnf(c_0_5298_0,axiom,
    hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5298]) ).

cnf(c_0_5299_0,axiom,
    hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5299]) ).

cnf(c_0_5300_0,axiom,
    hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5300]) ).

cnf(c_0_5301_0,axiom,
    hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5301]) ).

cnf(c_0_5302_0,axiom,
    hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5302]) ).

cnf(c_0_5303_0,axiom,
    hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
    inference(literals_permutation,[status(thm)],[c_0_5303]) ).

cnf(c_0_5304_0,axiom,
    hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
    inference(literals_permutation,[status(thm)],[c_0_5304]) ).

cnf(c_0_5305_0,axiom,
    collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)) = top_top_fun_nat_bool,
    inference(literals_permutation,[status(thm)],[c_0_5305]) ).

cnf(c_0_5306_0,axiom,
    collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)) = top_to1257323279t_bool,
    inference(literals_permutation,[status(thm)],[c_0_5306]) ).

cnf(c_0_5307_0,axiom,
    collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)) = top_to207207712i_bool,
    inference(literals_permutation,[status(thm)],[c_0_5307]) ).

cnf(c_0_5308_0,axiom,
    collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)) = top_to1773227171t_bool,
    inference(literals_permutation,[status(thm)],[c_0_5308]) ).

cnf(c_0_5309_0,axiom,
    collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)) = top_to1849101472l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5309]) ).

cnf(c_0_5310_0,axiom,
    collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)) = top_to935749874l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5310]) ).

cnf(c_0_5311_0,axiom,
    collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)) = top_to846262053l_bool,
    inference(literals_permutation,[status(thm)],[c_0_5311]) ).

cnf(c_0_5312_0,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5313_0,axiom,
    hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5331_0,axiom,
    hAPP_nat_nat(cOMBI_nat,X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5331]) ).

cnf(c_0_5334_0,axiom,
    hAPP_nat_nat(suc,zero_zero_nat) = one_one_nat,
    inference(literals_permutation,[status(thm)],[c_0_5334]) ).

cnf(c_0_5337_0,axiom,
    is_bool(undefined_bool(bool)),
    inference(literals_permutation,[status(thm)],[c_0_5337]) ).

cnf(c_0_5338_0,axiom,
    is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
    inference(literals_permutation,[status(thm)],[c_0_5338]) ).

cnf(c_0_5339_0,axiom,
    is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
    inference(literals_permutation,[status(thm)],[c_0_5339]) ).

cnf(c_0_5340_0,axiom,
    collect_nat(X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_5340]) ).

cnf(c_0_5343_0,axiom,
    hBOOL(fTrue),
    inference(literals_permutation,[status(thm)],[c_0_5343]) ).

cnf(c_0_5344_0,axiom,
    finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
    inference(literals_permutation,[status(thm)],[c_0_5344]) ).

cnf(c_0_5345_0,axiom,
    is_fun20916972t_bool(sk1_esk63_0),
    inference(literals_permutation,[status(thm)],[c_0_5345]) ).

cnf(c_0_5346_0,axiom,
    is_fun20916972t_bool(sk1_esk19_0),
    inference(literals_permutation,[status(thm)],[c_0_5346]) ).

cnf(c_0_5347_0,axiom,
    is_fun20916972t_bool(sk1_esk18_0),
    inference(literals_permutation,[status(thm)],[c_0_5347]) ).

cnf(c_0_5348_0,axiom,
    is_Arr723427730le_alt(e),
    inference(literals_permutation,[status(thm)],[c_0_5348]) ).

cnf(c_0_5349_0,axiom,
    is_Arr723427730le_alt(b),
    inference(literals_permutation,[status(thm)],[c_0_5349]) ).

cnf(c_0_5350_0,axiom,
    is_Arr723427730le_alt(a),
    inference(literals_permutation,[status(thm)],[c_0_5350]) ).

cnf(c_0_5351_0,axiom,
    is_fun20916972t_bool(lba),
    inference(literals_permutation,[status(thm)],[c_0_5351]) ).

cnf(c_0_5352_0,axiom,
    is_fun20916972t_bool(lab),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5353_0,axiom,
    is_bool(fTrue),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5354_0,axiom,
    is_bool(fFalse),
    inference(literals_permutation,[status(thm)],[c_0_5354]) ).

cnf(c_0_5355_0,axiom,
    is_fun20916972t_bool(top_to1773227171t_bool),
    inference(literals_permutation,[status(thm)],[c_0_5355]) ).

cnf(c_0_5356_0,axiom,
    is_fun1420103068l_bool(top_to846262053l_bool),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5357_0,axiom,
    is_fun292781289l_bool(top_to1849101472l_bool),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5358_0,axiom,
    is_fun701126715l_bool(top_to935749874l_bool),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5359_0,axiom,
    is_fun1568535512t_bool(top_to1257323279t_bool),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5360_0,axiom,
    is_fun2015243113i_bool(top_to207207712i_bool),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5361_0,axiom,
    is_bool(top_top_bool),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5362_0,axiom,
    is_fun1420103068l_bool(finite955821396le_alt),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5363_0,axiom,
    is_fun292781289l_bool(arrow_1550141362nimity),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5364_0,axiom,
    is_fun701126715l_bool(arrow_583275979e_Prof),
    inference(literals_permutation,[status(thm)],[c_0_5364]) ).

cnf(c_0_5365_0,axiom,
    is_fun1420103068l_bool(arrow_912654623le_Lin),
    inference(literals_permutation,[status(thm)],[c_0_5365]) ).

cnf(c_0_5366_0,axiom,
    is_fun292781289l_bool(arrow_885770895le_IIA),
    inference(literals_permutation,[status(thm)],[c_0_5366]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    file('<stdin>',conj_0) ).

fof(c_0_1_002,hypothesis,
    ! [X1,X2] :
      ( ( is_fun1420103068l_bool(X1)
        & is_fun20916972t_bool(X2) )
     => is_bool(hAPP_f1733357041l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___033) ).

fof(c_0_2_003,hypothesis,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__042) ).

fof(c_0_3_004,hypothesis,
    ! [X1,X2] : is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__011) ).

fof(c_0_4_005,hypothesis,
    is_Arr723427730le_alt(d),
    file('<stdin>',gsy_v_d____) ).

fof(c_0_5_006,hypothesis,
    is_Arr723427730le_alt(c),
    file('<stdin>',gsy_v_c____) ).

fof(c_0_6_007,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_7_008,hypothesis,
    ! [X1,X2] :
      ( ( is_fun1420103068l_bool(X1)
        & is_fun20916972t_bool(X2) )
     => is_bool(hAPP_f1733357041l_bool(X1,X2)) ),
    c_0_1 ).

fof(c_0_8_009,hypothesis,
    ! [X1,X2] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
    c_0_2 ).

fof(c_0_9_010,hypothesis,
    ! [X1,X2] : is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
    c_0_3 ).

fof(c_0_10_011,hypothesis,
    is_Arr723427730le_alt(d),
    c_0_4 ).

fof(c_0_11_012,hypothesis,
    is_Arr723427730le_alt(c),
    c_0_5 ).

fof(c_0_12_013,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    c_0_6 ).

fof(c_0_13_014,hypothesis,
    ! [X3,X4] :
      ( ~ is_fun1420103068l_bool(X3)
      | ~ is_fun20916972t_bool(X4)
      | is_bool(hAPP_f1733357041l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

fof(c_0_14_015,hypothesis,
    ! [X3,X4] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

fof(c_0_15_016,hypothesis,
    ! [X3,X4] : is_fun20916972t_bool(hAPP_f1817389232t_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

fof(c_0_16_017,hypothesis,
    is_Arr723427730le_alt(d),
    c_0_10 ).

fof(c_0_17_018,hypothesis,
    is_Arr723427730le_alt(c),
    c_0_11 ).

cnf(c_0_18_019,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19_020,hypothesis,
    ( is_bool(hAPP_f1733357041l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun1420103068l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20_021,hypothesis,
    is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21_022,hypothesis,
    is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22_023,hypothesis,
    is_Arr723427730le_alt(d),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23_024,hypothesis,
    is_Arr723427730le_alt(c),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24_025,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    c_0_18,
    [final] ).

cnf(c_0_25_026,hypothesis,
    ( is_bool(hAPP_f1733357041l_bool(X1,X2))
    | ~ is_fun20916972t_bool(X2)
    | ~ is_fun1420103068l_bool(X1) ),
    c_0_19,
    [final] ).

cnf(c_0_26_027,hypothesis,
    is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
    c_0_20,
    [final] ).

cnf(c_0_27_028,hypothesis,
    is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
    c_0_21,
    [final] ).

cnf(c_0_28_029,hypothesis,
    is_Arr723427730le_alt(d),
    c_0_22,
    [final] ).

cnf(c_0_29_030,hypothesis,
    is_Arr723427730le_alt(c),
    c_0_23,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_225,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e8c330.p',c_0_4021_0) ).

cnf(c_3908,plain,
    ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
    | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e8c330.p',c_0_4017_0) ).

cnf(c_4050,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e8c330.p',c_0_24) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_225,c_3908,c_4050]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SCT171+2 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 02:38:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Running in mono-core mode
% 0.46/0.66  % Orienting using strategy Equiv(ClausalAll)
% 0.46/0.66  % FOF problem with conjecture
% 0.46/0.66  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6363d0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e8c330.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ad279e | grep -v "SZS"
% 0.46/0.67  
% 0.46/0.67  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.46/0.67  
% 0.46/0.67  % 
% 0.46/0.67  % ------  iProver source info 
% 0.46/0.67  
% 0.46/0.67  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.46/0.67  % git: non_committed_changes: true
% 0.46/0.67  % git: last_make_outside_of_git: true
% 0.46/0.67  
% 0.46/0.67  % 
% 0.46/0.67  % ------ Input Options
% 0.46/0.67  
% 0.46/0.67  % --out_options                         all
% 0.46/0.67  % --tptp_safe_out                       true
% 0.46/0.67  % --problem_path                        ""
% 0.46/0.67  % --include_path                        ""
% 0.46/0.67  % --clausifier                          .//eprover
% 0.46/0.67  % --clausifier_options                  --tstp-format  
% 0.46/0.67  % --stdin                               false
% 0.46/0.67  % --dbg_backtrace                       false
% 0.46/0.67  % --dbg_dump_prop_clauses               false
% 0.46/0.67  % --dbg_dump_prop_clauses_file          -
% 0.46/0.67  % --dbg_out_stat                        false
% 0.46/0.67  
% 0.46/0.67  % ------ General Options
% 0.46/0.67  
% 0.46/0.67  % --fof                                 false
% 0.46/0.67  % --time_out_real                       150.
% 0.46/0.67  % --time_out_prep_mult                  0.2
% 0.46/0.67  % --time_out_virtual                    -1.
% 0.46/0.67  % --schedule                            none
% 0.46/0.67  % --ground_splitting                    input
% 0.46/0.67  % --splitting_nvd                       16
% 0.46/0.67  % --non_eq_to_eq                        false
% 0.46/0.67  % --prep_gs_sim                         true
% 0.46/0.67  % --prep_unflatten                      false
% 0.46/0.67  % --prep_res_sim                        true
% 0.46/0.67  % --prep_upred                          true
% 0.46/0.67  % --res_sim_input                       true
% 0.46/0.67  % --clause_weak_htbl                    true
% 0.46/0.67  % --gc_record_bc_elim                   false
% 0.46/0.67  % --symbol_type_check                   false
% 0.46/0.67  % --clausify_out                        false
% 0.46/0.67  % --large_theory_mode                   false
% 0.46/0.67  % --prep_sem_filter                     none
% 0.46/0.67  % --prep_sem_filter_out                 false
% 0.46/0.67  % --preprocessed_out                    false
% 0.46/0.67  % --sub_typing                          false
% 0.46/0.67  % --brand_transform                     false
% 0.46/0.67  % --pure_diseq_elim                     true
% 0.46/0.67  % --min_unsat_core                      false
% 0.46/0.67  % --pred_elim                           true
% 0.46/0.67  % --add_important_lit                   false
% 0.46/0.67  % --soft_assumptions                    false
% 0.46/0.67  % --reset_solvers                       false
% 0.46/0.67  % --bc_imp_inh                          []
% 0.46/0.67  % --conj_cone_tolerance                 1.5
% 0.46/0.67  % --prolific_symb_bound                 500
% 0.46/0.67  % --lt_threshold                        2000
% 0.46/0.67  
% 0.46/0.67  % ------ SAT Options
% 0.46/0.67  
% 0.46/0.67  % --sat_mode                            false
% 0.46/0.67  % --sat_fm_restart_options              ""
% 0.46/0.67  % --sat_gr_def                          false
% 0.46/0.67  % --sat_epr_types                       true
% 0.46/0.67  % --sat_non_cyclic_types                false
% 0.46/0.67  % --sat_finite_models                   false
% 0.46/0.67  % --sat_fm_lemmas                       false
% 0.46/0.67  % --sat_fm_prep                         false
% 0.46/0.67  % --sat_fm_uc_incr                      true
% 0.46/0.67  % --sat_out_model                       small
% 0.46/0.67  % --sat_out_clauses                     false
% 0.46/0.67  
% 0.46/0.67  % ------ QBF Options
% 0.46/0.67  
% 0.46/0.67  % --qbf_mode                            false
% 0.46/0.67  % --qbf_elim_univ                       true
% 0.46/0.67  % --qbf_sk_in                           true
% 0.46/0.67  % --qbf_pred_elim                       true
% 0.46/0.67  % --qbf_split                           32
% 0.46/0.67  
% 0.46/0.67  % ------ BMC1 Options
% 0.46/0.67  
% 0.46/0.67  % --bmc1_incremental                    false
% 0.46/0.67  % --bmc1_axioms                         reachable_all
% 0.46/0.67  % --bmc1_min_bound                      0
% 0.46/0.67  % --bmc1_max_bound                      -1
% 0.46/0.67  % --bmc1_max_bound_default              -1
% 0.46/0.67  % --bmc1_symbol_reachability            true
% 0.46/0.67  % --bmc1_property_lemmas                false
% 0.46/0.67  % --bmc1_k_induction                    false
% 0.46/0.67  % --bmc1_non_equiv_states               false
% 0.46/0.67  % --bmc1_deadlock                       false
% 0.46/0.67  % --bmc1_ucm                            false
% 0.46/0.67  % --bmc1_add_unsat_core                 none
% 0.46/0.67  % --bmc1_unsat_core_children            false
% 0.46/0.67  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.46/0.67  % --bmc1_out_stat                       full
% 0.46/0.67  % --bmc1_ground_init                    false
% 0.46/0.67  % --bmc1_pre_inst_next_state            false
% 0.46/0.67  % --bmc1_pre_inst_state                 false
% 0.46/0.67  % --bmc1_pre_inst_reach_state           false
% 0.46/0.67  % --bmc1_out_unsat_core                 false
% 0.46/0.67  % --bmc1_aig_witness_out                false
% 0.46/0.67  % --bmc1_verbose                        false
% 0.46/0.67  % --bmc1_dump_clauses_tptp              false
% 0.51/0.81  % --bmc1_dump_unsat_core_tptp           false
% 0.51/0.81  % --bmc1_dump_file                      -
% 0.51/0.81  % --bmc1_ucm_expand_uc_limit            128
% 0.51/0.81  % --bmc1_ucm_n_expand_iterations        6
% 0.51/0.81  % --bmc1_ucm_extend_mode                1
% 0.51/0.81  % --bmc1_ucm_init_mode                  2
% 0.51/0.81  % --bmc1_ucm_cone_mode                  none
% 0.51/0.81  % --bmc1_ucm_reduced_relation_type      0
% 0.51/0.81  % --bmc1_ucm_relax_model                4
% 0.51/0.81  % --bmc1_ucm_full_tr_after_sat          true
% 0.51/0.81  % --bmc1_ucm_expand_neg_assumptions     false
% 0.51/0.81  % --bmc1_ucm_layered_model              none
% 0.51/0.81  % --bmc1_ucm_max_lemma_size             10
% 0.51/0.81  
% 0.51/0.81  % ------ AIG Options
% 0.51/0.81  
% 0.51/0.81  % --aig_mode                            false
% 0.51/0.81  
% 0.51/0.81  % ------ Instantiation Options
% 0.51/0.81  
% 0.51/0.81  % --instantiation_flag                  true
% 0.51/0.81  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.51/0.81  % --inst_solver_per_active              750
% 0.51/0.81  % --inst_solver_calls_frac              0.5
% 0.51/0.81  % --inst_passive_queue_type             priority_queues
% 0.51/0.81  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.51/0.81  % --inst_passive_queues_freq            [25;2]
% 0.51/0.81  % --inst_dismatching                    true
% 0.51/0.81  % --inst_eager_unprocessed_to_passive   true
% 0.51/0.81  % --inst_prop_sim_given                 true
% 0.51/0.81  % --inst_prop_sim_new                   false
% 0.51/0.81  % --inst_orphan_elimination             true
% 0.51/0.81  % --inst_learning_loop_flag             true
% 0.51/0.81  % --inst_learning_start                 3000
% 0.51/0.81  % --inst_learning_factor                2
% 0.51/0.81  % --inst_start_prop_sim_after_learn     3
% 0.51/0.81  % --inst_sel_renew                      solver
% 0.51/0.81  % --inst_lit_activity_flag              true
% 0.51/0.81  % --inst_out_proof                      true
% 0.51/0.81  
% 0.51/0.81  % ------ Resolution Options
% 0.51/0.81  
% 0.51/0.81  % --resolution_flag                     true
% 0.51/0.81  % --res_lit_sel                         kbo_max
% 0.51/0.81  % --res_to_prop_solver                  none
% 0.51/0.81  % --res_prop_simpl_new                  false
% 0.51/0.81  % --res_prop_simpl_given                false
% 0.51/0.81  % --res_passive_queue_type              priority_queues
% 0.51/0.81  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.51/0.81  % --res_passive_queues_freq             [15;5]
% 0.51/0.81  % --res_forward_subs                    full
% 0.51/0.81  % --res_backward_subs                   full
% 0.51/0.81  % --res_forward_subs_resolution         true
% 0.51/0.81  % --res_backward_subs_resolution        true
% 0.51/0.81  % --res_orphan_elimination              false
% 0.51/0.81  % --res_time_limit                      1000.
% 0.51/0.81  % --res_out_proof                       true
% 0.51/0.81  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6363d0.s
% 0.51/0.81  % --modulo                              true
% 0.51/0.81  
% 0.51/0.81  % ------ Combination Options
% 0.51/0.81  
% 0.51/0.81  % --comb_res_mult                       1000
% 0.51/0.81  % --comb_inst_mult                      300
% 0.51/0.81  % ------ 
% 0.51/0.81  
% 0.51/0.81  % ------ Parsing...% 
% 0.51/0.81  
% 0.51/0.81  
% 0.51/0.81  % ------                             Statistics
% 0.51/0.81  
% 0.51/0.81  % ------ General
% 0.51/0.81  
% 0.51/0.81  % num_of_input_clauses:                 1943
% 0.51/0.81  % num_of_input_neg_conjectures:         0
% 0.51/0.81  % num_of_splits:                        0
% 0.51/0.81  % num_of_split_atoms:                   0
% 0.51/0.81  % num_of_sem_filtered_clauses:          0
% 0.51/0.81  % num_of_subtypes:                      0
% 0.51/0.81  % monotx_restored_types:                0
% 0.51/0.81  % sat_num_of_epr_types:                 0
% 0.51/0.81  % sat_num_of_non_cyclic_types:          0
% 0.51/0.81  % sat_guarded_non_collapsed_types:      0
% 0.51/0.81  % is_epr:                               0
% 0.51/0.81  % is_horn:                              0
% 0.51/0.81  % has_eq:                               0
% 0.51/0.81  % num_pure_diseq_elim:                  0
% 0.51/0.81  % simp_replaced_by:                     0
% 0.51/0.81  % res_preprocessed:                     0
% 0.51/0.81  % prep_upred:                           0
% 0.51/0.81  % prep_unflattend:                      0
% 0.51/0.81  % pred_elim_cands:                      0
% 0.51/0.81  % pred_elim:                            0
% 0.51/0.81  % pred_elim_cl:                         0
% 0.51/0.81  % pred_elim_cycles:                     0
% 0.51/0.81  % forced_gc_time:                       0
% 0.51/0.81  % gc_basic_clause_elim:                 0
% 0.51/0.81  % parsing_time:                         0.
% 0.51/0.81  % sem_filter_time:                      0.
% 0.51/0.81  % pred_elim_time:                       0.
% 0.51/0.81  % out_proof_time:                       0.
% 0.51/0.81  % monotx_time:                          0.
% 0.51/0.81  % subtype_inf_time:                     0.
% 0.51/0.81  % unif_index_cands_time:                0.
% 0.51/0.81  % Fatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_e8c330.p line: 1946 near token: '!='")
% 0.51/0.81  unif_index_add_time:                  0.
% 0.51/0.81  % total_time:                           0.145
% 0.51/0.81  % num_of_symbols:                       365
% 0.51/0.81  % num_of_terms:                         2724
% 0.51/0.81  
% 0.51/0.81  % ------ Propositional Solver
% 0.51/0.81  
% 0.51/0.81  % prop_solver_calls:                    0
% 0.51/0.81  % prop_fast_solver_calls:               0
% 0.51/0.81  % prop_num_of_clauses:                  0
% 0.51/0.81  % prop_preprocess_simplified:           0
% 0.51/0.81  % prop_fo_subsumed:                     0
% 0.51/0.81  % prop_solver_time:                     0.
% 0.51/0.81  % prop_fast_solver_time:                0.
% 0.51/0.81  % prop_unsat_core_time:                 0.
% 0.51/0.81  
% 0.51/0.81  % ------ QBF 
% 0.51/0.81  
% 0.51/0.81  % qbf_q_res:                            0
% 0.51/0.81  % qbf_num_tautologies:                  0
% 0.51/0.81  % qbf_prep_cycles:                      0
% 0.51/0.81  
% 0.51/0.81  % ------ BMC1
% 0.51/0.81  
% 0.51/0.81  % bmc1_current_bound:                   -1
% 0.51/0.81  % bmc1_last_solved_bound:               -1
% 0.51/0.81  % bmc1_unsat_core_size:                 -1
% 0.51/0.81  % bmc1_unsat_core_parents_size:         -1
% 0.51/0.81  % bmc1_merge_next_fun:                  0
% 0.51/0.81  % bmc1_unsat_core_clauses_time:         0.
% 0.51/0.81  
% 0.51/0.81  % ------ Instantiation
% 0.51/0.81  
% 0.51/0.81  % inst_num_of_clauses:                  undef
% 0.51/0.81  % inst_num_in_passive:                  undef
% 0.51/0.81  % inst_num_in_active:                   0
% 0.51/0.81  % inst_num_in_unprocessed:              0
% 0.51/0.81  % inst_num_of_loops:                    0
% 0.51/0.81  % inst_num_of_learning_restarts:        0
% 0.51/0.81  % inst_num_moves_active_passive:        0
% 0.51/0.81  % inst_lit_activity:                    0
% 0.51/0.81  % inst_lit_activity_moves:              0
% 0.51/0.81  % inst_num_tautologies:                 0
% 0.51/0.81  % inst_num_prop_implied:                0
% 0.51/0.81  % inst_num_existing_simplified:         0
% 0.51/0.81  % inst_num_eq_res_simplified:           0
% 0.51/0.81  % inst_num_child_elim:                  0
% 0.51/0.81  % inst_num_of_dismatching_blockings:    0
% 0.51/0.81  % inst_num_of_non_proper_insts:         0
% 0.51/0.81  % inst_num_of_duplicates:               0
% 0.51/0.81  % inst_inst_num_from_inst_to_res:       0
% 0.51/0.81  % inst_dismatching_checking_time:       0.
% 0.51/0.81  
% 0.51/0.81  % ------ Resolution
% 0.51/0.81  
% 0.51/0.81  % res_num_of_clauses:                   undef
% 0.51/0.81  % res_num_in_passive:                   undef
% 0.51/0.81  % res_num_in_active:                    0
% 0.51/0.81  % res_num_of_loops:                     0
% 0.51/0.81  % res_forward_subset_subsumed:          0
% 0.51/0.81  % res_backward_subset_subsumed:         0
% 0.51/0.81  % res_forward_subsumed:                 0
% 0.51/0.81  % res_backward_subsumed:                0
% 0.51/0.81  % res_forward_subsumption_resolution:   0
% 0.51/0.81  % res_backward_subsumption_resolution:  0
% 0.51/0.81  % res_clause_to_clause_subsumption:     0
% 0.51/0.81  % res_orphan_elimination:               0
% 0.51/0.81  % res_tautology_del:                    0
% 0.51/0.81  % res_num_eq_res_simplified:            0
% 0.51/0.81  % res_num_sel_changes:                  0
% 0.51/0.81  % res_moves_from_active_to_pass:        0
% 0.51/0.81  
% 0.51/0.81  % Status Unknown
% 0.66/1.04  % Orienting using strategy ClausalAll
% 0.66/1.04  % FOF problem with conjecture
% 0.66/1.04  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6363d0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e8c330.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1e7f3a | grep -v "SZS"
% 0.66/1.06  
% 0.66/1.06  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.66/1.06  
% 0.66/1.06  % 
% 0.66/1.06  % ------  iProver source info 
% 0.66/1.06  
% 0.66/1.06  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.66/1.06  % git: non_committed_changes: true
% 0.66/1.06  % git: last_make_outside_of_git: true
% 0.66/1.06  
% 0.66/1.06  % 
% 0.66/1.06  % ------ Input Options
% 0.66/1.06  
% 0.66/1.06  % --out_options                         all
% 0.66/1.06  % --tptp_safe_out                       true
% 0.66/1.06  % --problem_path                        ""
% 0.66/1.06  % --include_path                        ""
% 0.66/1.06  % --clausifier                          .//eprover
% 0.66/1.06  % --clausifier_options                  --tstp-format  
% 0.66/1.06  % --stdin                               false
% 0.66/1.06  % --dbg_backtrace                       false
% 0.66/1.06  % --dbg_dump_prop_clauses               false
% 0.66/1.06  % --dbg_dump_prop_clauses_file          -
% 0.66/1.06  % --dbg_out_stat                        false
% 0.66/1.06  
% 0.66/1.06  % ------ General Options
% 0.66/1.06  
% 0.66/1.06  % --fof                                 false
% 0.66/1.06  % --time_out_real                       150.
% 0.66/1.06  % --time_out_prep_mult                  0.2
% 0.66/1.06  % --time_out_virtual                    -1.
% 0.66/1.06  % --schedule                            none
% 0.66/1.06  % --ground_splitting                    input
% 0.66/1.06  % --splitting_nvd                       16
% 0.66/1.06  % --non_eq_to_eq                        false
% 0.66/1.06  % --prep_gs_sim                         true
% 0.66/1.06  % --prep_unflatten                      false
% 0.66/1.06  % --prep_res_sim                        true
% 0.66/1.06  % --prep_upred                          true
% 0.66/1.06  % --res_sim_input                       true
% 0.66/1.06  % --clause_weak_htbl                    true
% 0.66/1.06  % --gc_record_bc_elim                   false
% 0.66/1.06  % --symbol_type_check                   false
% 0.66/1.06  % --clausify_out                        false
% 0.66/1.06  % --large_theory_mode                   false
% 0.66/1.06  % --prep_sem_filter                     none
% 0.66/1.06  % --prep_sem_filter_out                 false
% 0.66/1.06  % --preprocessed_out                    false
% 0.66/1.06  % --sub_typing                          false
% 0.66/1.06  % --brand_transform                     false
% 0.66/1.06  % --pure_diseq_elim                     true
% 0.66/1.06  % --min_unsat_core                      false
% 0.66/1.06  % --pred_elim                           true
% 0.66/1.06  % --add_important_lit                   false
% 0.66/1.06  % --soft_assumptions                    false
% 0.66/1.06  % --reset_solvers                       false
% 0.66/1.06  % --bc_imp_inh                          []
% 0.66/1.06  % --conj_cone_tolerance                 1.5
% 0.66/1.06  % --prolific_symb_bound                 500
% 0.66/1.06  % --lt_threshold                        2000
% 0.66/1.06  
% 0.66/1.06  % ------ SAT Options
% 0.66/1.06  
% 0.66/1.06  % --sat_mode                            false
% 0.66/1.06  % --sat_fm_restart_options              ""
% 0.66/1.06  % --sat_gr_def                          false
% 0.66/1.06  % --sat_epr_types                       true
% 0.66/1.06  % --sat_non_cyclic_types                false
% 0.66/1.06  % --sat_finite_models                   false
% 0.66/1.06  % --sat_fm_lemmas                       false
% 0.66/1.06  % --sat_fm_prep                         false
% 0.66/1.06  % --sat_fm_uc_incr                      true
% 0.66/1.06  % --sat_out_model                       small
% 0.66/1.06  % --sat_out_clauses                     false
% 0.66/1.06  
% 0.66/1.06  % ------ QBF Options
% 0.66/1.06  
% 0.66/1.06  % --qbf_mode                            false
% 0.66/1.06  % --qbf_elim_univ                       true
% 0.66/1.06  % --qbf_sk_in                           true
% 0.66/1.06  % --qbf_pred_elim                       true
% 0.66/1.06  % --qbf_split                           32
% 0.66/1.06  
% 0.66/1.06  % ------ BMC1 Options
% 0.66/1.06  
% 0.66/1.06  % --bmc1_incremental                    false
% 0.66/1.06  % --bmc1_axioms                         reachable_all
% 0.66/1.06  % --bmc1_min_bound                      0
% 0.66/1.06  % --bmc1_max_bound                      -1
% 0.66/1.06  % --bmc1_max_bound_default              -1
% 0.66/1.06  % --bmc1_symbol_reachability            true
% 0.66/1.06  % --bmc1_property_lemmas                false
% 0.66/1.06  % --bmc1_k_induction                    false
% 0.66/1.06  % --bmc1_non_equiv_states               false
% 0.66/1.06  % --bmc1_deadlock                       false
% 0.66/1.06  % --bmc1_ucm                            false
% 0.66/1.06  % --bmc1_add_unsat_core                 none
% 0.66/1.06  % --bmc1_unsat_core_children            false
% 0.66/1.06  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.66/1.06  % --bmc1_out_stat                       full
% 0.66/1.06  % --bmc1_ground_init                    false
% 0.66/1.06  % --bmc1_pre_inst_next_state            false
% 0.66/1.06  % --bmc1_pre_inst_state                 false
% 0.66/1.06  % --bmc1_pre_inst_reach_state           false
% 0.66/1.06  % --bmc1_out_unsat_core                 false
% 0.66/1.06  % --bmc1_aig_witness_out                false
% 0.66/1.06  % --bmc1_verbose                        false
% 0.66/1.06  % --bmc1_dump_clauses_tptp              false
% 1.09/1.25  % --bmc1_dump_unsat_core_tptp           false
% 1.09/1.25  % --bmc1_dump_file                      -
% 1.09/1.25  % --bmc1_ucm_expand_uc_limit            128
% 1.09/1.25  % --bmc1_ucm_n_expand_iterations        6
% 1.09/1.25  % --bmc1_ucm_extend_mode                1
% 1.09/1.25  % --bmc1_ucm_init_mode                  2
% 1.09/1.25  % --bmc1_ucm_cone_mode                  none
% 1.09/1.25  % --bmc1_ucm_reduced_relation_type      0
% 1.09/1.25  % --bmc1_ucm_relax_model                4
% 1.09/1.25  % --bmc1_ucm_full_tr_after_sat          true
% 1.09/1.25  % --bmc1_ucm_expand_neg_assumptions     false
% 1.09/1.25  % --bmc1_ucm_layered_model              none
% 1.09/1.25  % --bmc1_ucm_max_lemma_size             10
% 1.09/1.25  
% 1.09/1.25  % ------ AIG Options
% 1.09/1.25  
% 1.09/1.25  % --aig_mode                            false
% 1.09/1.25  
% 1.09/1.25  % ------ Instantiation Options
% 1.09/1.25  
% 1.09/1.25  % --instantiation_flag                  true
% 1.09/1.25  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.09/1.25  % --inst_solver_per_active              750
% 1.09/1.25  % --inst_solver_calls_frac              0.5
% 1.09/1.25  % --inst_passive_queue_type             priority_queues
% 1.09/1.25  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.09/1.25  % --inst_passive_queues_freq            [25;2]
% 1.09/1.25  % --inst_dismatching                    true
% 1.09/1.25  % --inst_eager_unprocessed_to_passive   true
% 1.09/1.25  % --inst_prop_sim_given                 true
% 1.09/1.25  % --inst_prop_sim_new                   false
% 1.09/1.25  % --inst_orphan_elimination             true
% 1.09/1.25  % --inst_learning_loop_flag             true
% 1.09/1.25  % --inst_learning_start                 3000
% 1.09/1.25  % --inst_learning_factor                2
% 1.09/1.25  % --inst_start_prop_sim_after_learn     3
% 1.09/1.25  % --inst_sel_renew                      solver
% 1.09/1.25  % --inst_lit_activity_flag              true
% 1.09/1.25  % --inst_out_proof                      true
% 1.09/1.25  
% 1.09/1.25  % ------ Resolution Options
% 1.09/1.25  
% 1.09/1.25  % --resolution_flag                     true
% 1.09/1.25  % --res_lit_sel                         kbo_max
% 1.09/1.25  % --res_to_prop_solver                  none
% 1.09/1.25  % --res_prop_simpl_new                  false
% 1.09/1.25  % --res_prop_simpl_given                false
% 1.09/1.25  % --res_passive_queue_type              priority_queues
% 1.09/1.25  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.09/1.25  % --res_passive_queues_freq             [15;5]
% 1.09/1.25  % --res_forward_subs                    full
% 1.09/1.25  % --res_backward_subs                   full
% 1.09/1.25  % --res_forward_subs_resolution         true
% 1.09/1.25  % --res_backward_subs_resolution        true
% 1.09/1.25  % --res_orphan_elimination              false
% 1.09/1.25  % --res_time_limit                      1000.
% 1.09/1.25  % --res_out_proof                       true
% 1.09/1.25  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6363d0.s
% 1.09/1.25  % --modulo                              true
% 1.09/1.25  
% 1.09/1.25  % ------ Combination Options
% 1.09/1.25  
% 1.09/1.25  % --comb_res_mult                       1000
% 1.09/1.25  % --comb_inst_mult                      300
% 1.09/1.25  % ------ 
% 1.09/1.25  
% 1.09/1.25  % ------ Parsing...% successful
% 1.09/1.25  
% 1.09/1.25  % 
% 1.09/1.25  
% 1.09/1.25  
% 1.09/1.25  % ------                             Statistics
% 1.09/1.25  
% 1.09/1.25  % ------ General
% 1.09/1.25  
% 1.09/1.25  % num_of_input_clauses:                 4055
% 1.09/1.25  % num_of_input_neg_conjectures:         1
% 1.09/1.25  % num_of_splits:                        0
% 1.09/1.25  % num_of_split_atoms:                   0
% 1.09/1.25  % num_of_sem_filtered_clauses:          0
% 1.09/1.25  % num_of_subtypes:                      0
% 1.09/1.25  % monotx_restored_types:                0
% 1.09/1.25  % sat_num_of_epr_types:                 0
% 1.09/1.25  % sat_num_of_non_cyclic_types:          0
% 1.09/1.25  % sat_guarded_non_collapsed_types:      0
% 1.09/1.25  % is_epr:                               0
% 1.09/1.25  % is_horn:                              0
% 1.09/1.25  % has_eq:                               0
% 1.09/1.25  % num_pure_diseq_elim:                  0
% 1.09/1.25  % simp_replaced_by:                     0
% 1.09/1.25  % res_preprocessed:                     0
% 1.09/1.25  % prep_upred:                           0
% 1.09/1.25  % prep_unflattend:                      0
% 1.09/1.25  % pred_elim_cands:                      0
% 1.09/1.25  % pred_elim:                            0
% 1.09/1.25  % pred_elim_cl:                         0
% 1.09/1.25  % pred_elim_cycles:                     0
% 1.09/1.25  % forced_gc_time:                       0
% 1.09/1.25  % gc_basic_clause_elim:                 0
% 1.09/1.25  % parsing_time:                         0.154
% 1.09/1.25  % sem_filter_time:                      0.
% 1.09/1.25  % pred_elim_time:                       0.
% 1.09/1.25  % out_proof_time:                       0.
% 1.09/1.25  % monotx_time:                          0.
% 1.09/1.25  % subtype_inf_time:                     0.
% 1.09/1.25  % unif_index_cands_time:                0.
% 1.09/1.25  % unif_index_add_time:                  0.
% 1.09/1.25  % total_time:                           0.198
% 1.09/1.25  % num_of_symbols:                       574
% 1.09/1.25  % num_of_terms:                         7233
% 1.09/1.25  
% 1.09/1.25  % ------ Propositional Solver
% 1.09/1.25  
% 1.09/1.25  % prop_solver_calls:                    0
% 1.09/1.25  % prop_fast_solver_calls:               0
% 1.09/1.25  % prop_num_of_clauses:                  1841
% 1.09/1.25  % prop_preprocess_simplified:           5796
% 1.09/1.25  % prop_fo_subsumed:                     0
% 1.09/1.25  % prop_solver_time:                     0.
% 1.09/1.25  % prop_fast_solver_time:                0.
% 1.09/1.25  % prop_unsat_core_time:                 0.
% 1.09/1.25  
% 1.09/1.25  % ------ QBF 
% 1.09/1.25  
% 1.09/1.25  % qbf_q_res:                            0
% 1.09/1.25  % qbf_num_tautologies:                  0
% 1.09/1.25  % qbf_prep_cycles:                      0
% 1.09/1.25  
% 1.09/1.25  % ------ BMC1
% 1.09/1.25  
% 1.09/1.25  % bmc1_current_bound:                   -1
% 1.09/1.25  % bmc1_last_solved_bound:               -1
% 1.09/1.25  % bmc1_unsat_core_size:                 -1
% 1.09/1.25  % bmc1_unsat_core_parents_size:         -1
% 1.09/1.25  % bmc1_merge_next_fun:                  0
% 1.09/1.25  % bmc1_unsat_core_clauses_time:         0.
% 1.09/1.25  
% 1.09/1.25  % ------ Instantiation
% 1.09/1.25  
% 1.09/1.25  % inst_num_of_clauses:                  undef
% 1.09/1.25  % inst_num_in_passive:                  undef
% 1.09/1.25  % inst_num_in_active:                   0
% 1.09/1.25  % inst_num_in_unprocessed:              0
% 1.09/1.25  % inst_num_of_loops:                    0
% 1.09/1.25  % inst_num_of_learning_restarts:        0
% 1.09/1.25  % inst_num_moves_active_passive:        0
% 1.09/1.25  % inst_lit_activity:                    0
% 1.09/1.25  % inst_lit_activity_moves:              0
% 1.09/1.25  % inst_num_tautologies:                 0
% 1.09/1.25  % inst_num_prop_implied:                0
% 1.09/1.25  % inst_num_existing_simplified:         0
% 1.09/1.25  % inst_num_eq_res_simplified:           0
% 1.09/1.25  % inst_num_child_elim:                  0
% 1.09/1.25  % inst_num_of_dismatching_blockings:    0
% 1.09/1.25  % inst_num_of_non_proper_insts:         0
% 1.09/1.25  % inst_num_of_duplicates:               0
% 1.09/1.25  % inst_inst_num_from_inst_to_res:       0
% 1.09/1.25  % inst_dismatching_checking_time:       0.
% 1.09/1.25  
% 1.09/1.25  % ------ Resolution
% 1.09/1.25  
% 1.09/1.25  % res_num_of_clauses:                   undef
% 1.09/1.25  % res_num_in_passive:                   undef
% 1.09/1.25  % res_num_in_active:                    0
% 1.09/1.25  % res_num_of_loops:                     0
% 1.09/1.25  % res_forward_subset_subsumed:          0
% 1.09/1.25  % res_backward_subset_subsumed:         0
% 1.09/1.25  % res_forward_subsumed:                 0
% 1.09/1.25  % res_backward_subsumed:                0
% 1.09/1.25  % res_forward_subsumption_resolution:   0
% 1.09/1.25  % res_backward_subsumption_resolution:  0
% 1.09/1.25  % res_clause_to_clause_subsumption:     0
% 1.09/1.25  % res_orphan_elimination:               0
% 1.09/1.25  % res_tautology_del:                    0
% 1.09/1.25  % res_num_eq_res_simplified:            0
% 1.09/1.25  % res_num_sel_changes:                  0
% 1.09/1.25  % res_moves_from_active_to_pass:        0
% 1.09/1.25  
% 1.09/1.25  % Status Unsatisfiable
% 1.09/1.25  % SZS status Theorem
% 1.09/1.25  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------